Results for 'General Relativity'

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  1. Deriving General Relativity From String Theory.Nick Huggett & Tiziana Vistarini - 2015 - Philosophy of Science 82 (5):1163-1174.
    Weyl symmetry of the classical bosonic string Lagrangian is broken by quantization, with profound consequences described here. Reimposing symmetry requires that the background space-time satisfy the equations of general relativity: general relativity, hence classical space-time as we know it, arises from string theory. We investigate the logical role of Weyl symmetry in this explanation of general relativity: it is not an independent physical postulate but required in quantum string theory, so from a certain point (...)
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  2. Does General Relativity Highlight Necessary Connections in Nature?Antonio Vassallo - 2021 - Synthese 199 (1-2):1-23.
    The dynamics of general relativity is encoded in a set of ten differential equations, the so-called Einstein field equations. It is usually believed that Einstein's equations represent a physical law describing the coupling of spacetime with material fields. However, just six of these equations actually describe the coupling mechanism: the remaining four represent a set of differential relations known as Bianchi identities. The paper discusses the physical role that the Bianchi identities play in general relativity, and (...)
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  3. Dependence relations in general relativity.Antonio Vassallo - 2020 - European Journal for Philosophy of Science 10 (1):1-28.
    The paper discusses from a metaphysical standpoint the nature of the dependence relation underpinning the talk of mutual action between material and spatiotemporal structures in general relativity. It is shown that the standard analyses of dependence in terms of causation or grounding are ill-suited for the general relativistic context. Instead, a non-standard analytical framework in terms of structural equation modeling is exploited, which leads to the conclusion that the kind of dependence encoded in the Einstein field equations (...)
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  4.  96
    Why General Relativity Does Need an Interpretation.Gordon Belot - 1996 - Philosophy of Science 63 (3):88.
    There is a widespread impression that General Relativity, unlike Quantum Mechanics, is in no need of an interpretation. I present two reasons for thinking that this is a mistake. The first is the familiar hole argument. I argue that certain skeptical responses to this argument are too hasty in dismissing it as being irrelevant to the interpretative enterprise. My second reason is that interpretative questions about General Relativity are central to the search for a quantum theory (...)
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  5. General Relativity Needs No Interpretation.Erik Curiel - 2009 - Philosophy of Science 76 (1):44-72.
    I argue that, contrary to the recent claims of physicists and philosophers of physics, general relativity requires no interpretation in any substantive sense of the term. I canvass the common reasons given in favor of the alleged need for an interpretation, including the difficulty in coming to grips with the physical significance of diffeomorphism invariance and of singular structure, and the problems faced in the search for a theory of quantum gravity. I find that none of them shows (...)
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  6.  34
    General Relativity as a Hybrid Theory: The Genesis of Einstein's Work on the Problem of Motion.Dennis Lehmkuhl - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67:176-190.
  7.  39
    General Relativity, Mental Causation, and Energy Conservation.J. Brian Pitts - 2022 - Erkenntnis 87 (4):1931-1973.
    The conservation of energy and momentum have been viewed as undermining Cartesian mental causation since the 1690s. Modern discussions of the topic tend to use mid-nineteenth century physics, neglecting both locality and Noether’s theorem and its converse. The relevance of General Relativity has rarely been considered. But a few authors have proposed that the non-localizability of gravitational energy and consequent lack of physically meaningful local conservation laws answers the conservation objection to mental causation: conservation already fails in GR, (...)
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  8.  53
    Two Miracles of General Relativity.James Read, Harvey R. Brown & Dennis Lehmkuhl - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 64:14-25.
    We approach the physics of \emph{minimal coupling} in general relativity, demonstrating that in certain circumstances this leads to violations of the \emph{strong equivalence principle}, which states that, in general relativity, the dynamical laws of special relativity can be recovered at a point. We then assess the consequences of this result for the \emph{dynamical perspective on relativity}, finding that potential difficulties presented by such apparent violations of the strong equivalence principle can be overcome. Next, we (...)
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  9. Does General Relativity Allow an Observer to View an Eternity in a Finite Time?Mark Hogarth - 1992 - Foundations Of Physics Letters 5:173--181.
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  10.  55
    Change in Hamiltonian General Relativity From the Lack of a Time-Like Killing Vector Field.J. Brian Pitts - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:68-89.
    In General Relativity in Hamiltonian form, change has seemed to be missing, defined only asymptotically, or otherwise obscured at best, because the Hamiltonian is a sum of first-class constraints and a boundary term and thus supposedly generates gauge transformations. Attention to the gauge generator G of Rosenfeld, Anderson, Bergmann, Castellani et al., a specially _tuned sum_ of first-class constraints, facilitates seeing that a solitary first-class constraint in fact generates not a gauge transformation, but a bad physical change in (...)
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  11. General Relativity as a Perfectly Machian Theory.Julian B. Barbour - 1995 - In Julian B. Barbour & H. Pfister (eds.), Mach's Principle: From Newton's Bucket to Quantum Gravity. Birkhäuser. pp. 214--36.
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  12.  32
    On the Reduction of General Relativity to Newtonian Gravitation.Samuel C. Fletcher - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 68:1-15.
    Intertheoretic reduction in physics aspires to be both to be explanatory and perfectly general: it endeavors to explain why an older, simpler theory continues to be as successful as it is in terms of a newer, more sophisticated theory, and it aims to relate or otherwise account for as many features of the two theories as possible. Despite often being introduced as straightforward cases of intertheoretic reduction, candidate accounts of the reduction of general relativity to Newtonian gravitation (...)
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  13.  10
    General Relativity with a Background Metric.Nathan Rosen - 1980 - Foundations of Physics 10 (9-10):673-704.
    An attempt is made to remove singularities arising in general relativity by modifying it so as to take into account the existence of a fundamental rest frame in the universe. This is done by introducing a background metric γμν (in addition to gμν) describing a spacetime of constant curvature with positive spatial curvature. The additional terms in the field equations are negligible for the solar system but important for intense fields. Cosmological models are obtained without singular states but (...)
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  14. General Relativity and Quantum Gravity in Terms of Quantum Measure: A Philosophical Comment.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 12 (17):1-37.
    The paper discusses the philosophical conclusions, which the interrelation between quantum mechanics and general relativity implies by quantum measure. Quantum measure is three-dimensional, both universal as the Borel measure and complete as the Lebesgue one. Its unit is a quantum bit (qubit) and can be considered as a generalization of the unit of classical information, a bit. It allows quantum mechanics to be interpreted in terms of quantum information, and all physical processes to be seen as informational in (...)
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  15.  5
    General Relativity as a Collection of Collections of Models.J. B. Manchak - 2021 - In Elena Aladova, Pablo Barceló, Johan van Benthem, Gerald Berger, Katrin M. Dannert, Neil Dewar, Răzvan Diaconescu, Ivo Düntsch, Wojciech Dzik, M. Eyad Kurd-Misto, Giambattista Formica, Michèle Friend, Robert Goldblatt, Georg Gottlob, Erich Grädel, Robin Hirsch, Ian Hodkinson, Marcel Jackson, Peter Jipsen, Roger D. Maddux, J. B. Manchak, Ewa Orłowska, Andreas Pieris, Boris Plotkin, Tatjana Plotkin, Vaughan R. Pratt, Ian Pratt-Hartmann, Tarek Sayed Ahmed, James Owen Weatherall, Dag Westerståhl, James Wimberley, Krzysztof Wójtowicz & Christian Wüthrich (eds.), Hajnal Andréka and István Németi on Unity of Science: From Computing to Relativity Theory Through Algebraic Logic. Springer Verlag. pp. 409-425.
    One usually identifies a particular collection of geometric objects with the models of general relativity. But within this standard collection lurk ‘physically unreasonable’ models of spacetime. If such models are ruled out, attention can be restricted to some sub-collection of ‘physically reasonable’ models which can be considered a variant theory of general relativity. Since we have yet to identify a privileged sub-collection of ‘physically reasonable’ models, it is helpful to think of ‘general relativity’ in (...)
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  16. General Relativity and Cosmology.George C. McVittie - 1965 - Urbana, University of Illinois Press.
  17.  9
    General Relativity and Gravitational Waves.Joseph Weber - 1961 - New York: Interscience Publishers.
    An internationally famous physicist and electrical engineer, the author of this text was a pioneer in the investigation of gravitational waves. Joseph Weber's General Relativity and Gravitational Waves offers a classic treatment of the subject. Appropriate for upper-level undergraduates and graduate students, this text remains ever relevant. Brief but thorough in its introduction to the foundations of general relativity, it also examines the elements of Riemannian geometry and tensor calculus applicable to this field. Approximately a quarter (...)
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  18. The General Relativity Genesis: an Intertheoretic Context.Rinat M. Nugayev - 2017 - Voprosi Filosofii (The Problems of Philosophy) (1):62-70.
    Abstract. The theory-change epistemological model, tried on maxwellian revolution and special relativity genesis, is unfolded to apprehend general relativity genesis. It is exhibited that the dynamics of general relativity (GR) construction was largely governed by internal tensions of special relativity and Newton’s theory of gravitation. The research traditions’ encounter engendered construction of the hybrid domain at first with an irregular set of theoretical models. However, step by step, on revealing and gradual eliminating the contradictions (...)
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  19.  32
    General Relativity Conflict and Rivalries: Einstein's Polemics with Physicists.Galina Weinstein - 2015 - Cambridge Scholars Press.
    This book focuses on Albert Einstein and his interactions with, and responses to, various scientists, both famous and lesser-known. It takes as its starting point that the discussions between Einstein and other scientists all represented a contribution to the edifice of general relativity and relativistic cosmology. These scientists with whom Einstein implicitly or explicitly interacted form a complicated web of collaboration, which this study explores, focusing on their implicit and explicit responses to Einstein s work. This analysis uncovers (...)
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  20.  21
    Is General Relativity Generally Relativistic?Roger Jones - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:363 - 381.
    Among the principles that are generally taken to underlie the general theory of relativity is a general principle of relativity. Such a principle is supposed to extend the special principle of relativity, which holds observers in uniform motion to be indistinguishable by appeal to the laws of physics, to a requirement on observers in arbitrary states of motion. Starting with physical intuitions described graphically by Galileo, proceeding through a series of formal requirements on reference frames (...)
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  21. The Constraints General Relativity Places on Physicalist Accounts of Causality.Erik Curiel - 2000 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 15 (1):33-58.
    All accounts of causality that presuppose the propagation or transfer or some physical stuff to be an essential part of the causal relation rely for the force of their causal claims on a principle of conservation for that stuff. General Relativity does not permit the rigorous formulation of appropriate conservation principles. Consequently, in so far as General Relativity is considered and fundamental physical theory, such accounts of causality cannot be considered fundamental. The continued use of such (...)
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  22.  25
    General Relative Clauses in Greek.J. A. Smith - 1917 - The Classical Review 31 (3-4):69-71.
  23.  94
    Is Prediction Possible in General Relativity?John Byron Manchak - 2008 - Foundations of Physics 38 (4):317-321.
    Here we briefly review the concept of "prediction" within the context of classical relativity theory. We prove a theorem asserting that one may predict one's own future only in a closed universe. We then question whether prediction is possible at all (even in closed universes). We note that interest in prediction has stemmed from considering the epistemological predicament of the observer. We argue that the definitions of prediction found thus far in the literature do not fully appreciate this predicament. (...)
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  24. General Relativity and the Standard Model: Why Evidence for One Does Not Disconfirm the Other.Nicholaos Jones - 2008 - Studies in History and Philosophy of Modern Physics 40 (2):124-132.
    General Relativity and the Standard Model often are touted as the most rigorously and extensively confirmed scientific hypotheses of all time. Nonetheless, these theories appear to have consequences that are inconsistent with evidence about phenomena for which, respectively, quantum effects and gravity matter. This paper suggests an explanation for why the theories are not disconfirmed by such evidence. The key to this explanation is an approach to scientific hypotheses that allows their actual content to differ from their apparent (...)
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  25. The Ontology of General Relativity.Gustavo E. Romero - forthcoming - In M. Novello & S. E. Perez Bergliaffa (eds.), General Relativity and Gravitation. Cambridge University Press.
    I discuss the ontological assumptions and implications of General Relativity. I maintain that General Relativity is a theory about gravitational fields, not about space-time. The latter is a more basic ontological category, that emerges from physical relations among all existents. I also argue that there are no physical singularities in space-time. Singular space-time models do not belong to the ontology of the world: they are not things but concepts, i.e. defective solutions of Einstein’s field equations. I (...)
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  26.  14
    General Relativity and the Standard Model: Why Evidence for One Does Not Disconfirm the Other.Nicholaos Jones - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (2):124-132.
    General Relativity and the Standard Model often are touted as the most rigorously and extensively confirmed scientific hypotheses of all time. Nonetheless, these theories appear to have consequences that are inconsistent with evidence about phenomena for which, respectively, quantum effects and gravity matter. This paper suggests an explanation for why the theories are not disconfirmed by such evidence. The key to this explanation is an approach to scientific hypotheses that allows their actual content to differ from their apparent (...)
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  27. Have we Lost Spacetime on the Way? Narrowing the Gap between General Relativity and Quantum Gravity.Baptiste Le Bihan & Niels Linnemann - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 65:112-121.
    Important features of space and time are taken to be missing in quantum gravity, allegedly requiring an explanation of the emergence of spacetime from non-spatio-temporal theories. In this paper, we argue that the explanatory gap between general relativity and non-spatio- temporal quantum gravity theories might significantly be reduced with two moves. First, we point out that spacetime is already partially missing in the context of general relativity when understood from a dynamical perspective. Second, we argue that (...)
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  28.  18
    Geometry and Motion in General Relativity.James Owen Weatherall - unknown
    A classic problem in general relativity, long studied by both physicists and philosophers of physics, concerns whether the geodesic principle may be derived from other principles of the theory, or must be posited independently. In a recent paper [Geroch & Weatherall, "The Motion of Small Bodies in Space-Time", Comm. Math. Phys. ], Bob Geroch and I have introduced a new approach to this problem, based on a notion we call "tracking". In the present paper, I situate the main (...)
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  29. General Relativity and Spacetime Relationism.Carl Hoefer - 1992 - Dissertation, Stanford University
    This dissertation takes up the project of showing that, in the context of the general theory of relativity , spacetime relationism is not a refuted or hopeless view, as many in the recent literature have maintained . Most of the challenges to the relationist view in General Relativity can be satisfactorily answered; in addition, the opposing absolutist and substantivalist views of spacetime can be shown to be problematic. The crucial burden for relationists concerned with GTR is (...)
     
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  30.  14
    Einstein, General Relativity, and the German Press, 1919-1920.Lewis Elton - 1986 - Isis 77 (1):95-103.
  31.  67
    The Beauty of General Relativity.Wu Zhong Chao - 1997 - Foundations of Science 2 (1):61-64.
    The author proposes to add another dichotomy to the list of essential tensions proposed by Professor Duda, namely beauty and ugliness. Physicists believe that only beautiful theories describe the world correctly, and that General Relativity is one of the most beautiful physical theories. The author explains why physicists regard this theory as beautiful.
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  32.  41
    General Relativity and the Conceivability of Time Travel.Robert Weingard - 1979 - Philosophy of Science 46 (2):328-332.
    It has been suggested by several philosophers that many of the so-called paradoxes of backward time travel can be resolved if we conceive of the backward time traveller as having a zig-zag or N-shaped world line in spacetime. In this I am in general agreement. But there is still a problem in conceiving of backward time travel this way. In this note I will show how we can solve this problem by conceiving of backward time travel in terms of (...)
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  33.  9
    The Multiple Realizability of General Relativity in Quantum Gravity.Rasmus Jaksland - 2019 - Synthese 199 (S2):441-467.
    Must a theory of quantum gravity have some truth to it if it can recover general relativity in some limit of the theory? This paper answers this question in the negative by indicating that general relativity is multiply realizable in quantum gravity. The argument is inspired by spacetime functionalism—multiple realizability being a central tenet of functionalism—and proceeds via three case studies: induced gravity, thermodynamic gravity, and entanglement gravity. In these, general relativity in the form (...)
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  34. Some Philosophical Prehistory of General Relativity.Howard Stein - 1977 - In John Earman, Clark Glymour & John Stachel (eds.), Foundations of Space-Time Theories: Minnesota Studies in the Philosophy of Science. University of Minnesota Press. pp. 3-49.
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  35.  63
    General Relativity and the Length of the Past.Robert Weingard - 1979 - British Journal for the Philosophy of Science 30 (2):170-172.
  36. Differential Forms in General Relativity.W. Israel - 1970 - Dublin, Dublin Institute for Advanced Studies.
     
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  37. Fiber Bundles, Yang–Mills Theory, and General Relativity.James Weatherall - 2016 - Synthese 193 (8).
    I articulate and discuss a geometrical interpretation of Yang–Mills theory. Analogies and disanalogies between Yang–Mills theory and general relativity are also considered.
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  38. Topics in the Foundations of General Relativity and Newtonian Gravitation Theory.David B. Malament - 2012 - Chicago: Chicago University Press.
    1.1 Manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Tangent Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (...)
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  39.  25
    Quantum Gravity From General Relativity.Christian Wuthrich - 2021 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. Routledge.
    Although general relativity is a predictively successful theory, it treats matter as classical rather than as quantum. For this reason, it will have to be replaced by a more fundamental quantum theory of gravity. Attempts to formulate a quantum theory of gravity suggest that such a theory may have radical consequences for the nature, and indeed the fate, of spacetime. The present article articulates what this problem of spacetime is and traces it three approaches to quantum gravity taking (...)
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  40.  61
    Early Philosophical Interpretations of General Relativity.Thomas A. Ryckman - 2008 - Stanford Encyclopedia of Philosophy.
  41. A Logic Road From Special Relativity to General Relativity.Hajnal Andréka, Judit X. Madarász, István Németi & Gergely Székely - 2012 - Synthese 186 (3):633 - 649.
    We present a streamlined axiom system of special relativity in first-order logic. From this axiom system we "derive" an axiom system of general relativity in two natural steps. We will also see how the axioms of special relativity transform into those of general relativity. This way we hope to make general relativity more accessible for the non-specialist.
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  42.  1
    Change in Hamiltonian General Relativity with Spinors.J. Brian Pitts - 2021 - Foundations of Physics 51 (6):1-30.
    In General Relativity in Hamiltonian form, change has seemed to be missing, defined only asymptotically, or otherwise obscured at best, because the Hamiltonian is a sum of first-class constraints and a boundary term and thus supposedly generates gauge transformations. By construing change as essential time dependence, one can find change locally in vacuum GR in the Hamiltonian formulation just where it should be. But what if spinors are present? This paper is motivated by the tendency in space-time philosophy (...)
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  43.  34
    On Representational Capacities, with an Application to General Relativity.Samuel C. Fletcher - 2020 - Foundations of Physics 50 (4):228-249.
    Recent work on the hole argument in general relativity by Weatherall has drawn attention to the neglected concept of models’ representational capacities. I argue for several theses about the structure of these capacities, including that they should be understood not as many-to-one relations from models to the world, but in general as many-to-many relations constrained by the models’ isomorphisms. I then compare these ideas with a recent argument by Belot for the claim that some isometries “generate new (...)
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  44.  9
    The Physical Foundations of General Relativity.Dennis William Sciama - 1969 - Garden City, N.Y., Doubleday.
  45.  27
    Spacetime Functionalism in General Relativity and Quantum Gravity.Karen Crowther, Niels S. Linnemann & Christian Wüthrich - 2020 - Synthese 199 (S2):221-227.
    Introduction for the Synthese Special Issue on Spacetime Functionalism.
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  46. Holism and Structuralism in Classical and Quantum General Relativity.Mauro Dorato & Massimo Pauri - 2006 - In Dean Rickles, Steven French & Juha Saatsi (eds.), The Structural Foundations of Quantum Gravity. Oxford: Oxford University Press. pp. 121-151.
    The main aim of our paper is to show that interpretative issues belonging to classical General Relativity (GR) might be preliminary to a deeper understanding of conceptual problems stemming from on-going attempts at constructing a quantum theory of gravity. Among such interpretative issues, we focus on the meaning of general covariance and the related question of the identity of points, by basing our investigation on the Hamiltonian formulation of GR. In particular, we argue that the adoption of (...)
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  47. General Relativity 1916 - 2016.Anguel S. Stefanov & Marco Giovanelli (eds.) - 2017 - Minkowski Institute Press.
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  48. Lectures on General Relativity.A. Trautman (ed.) - 1965 - Englewood Cliffs, N.J., Prentice-Hall.
     
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  49.  21
    General Relativity as a Dynamical System on the Manifold a of Riemannian Metrics Which Cover Diffeomorphisms.Arthur E. Fischer & Jerrold E. Marsden - 1972 - In D. Farnsworth (ed.), Methods of Local and Global Differential Geometry in General Relativity. New York: Springer Verlag. pp. 176--188.
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  50.  98
    Why Einstein Did Not Believe That General Relativity Geometrizes Gravity.Dennis Lehmkuhl - unknown
    I argue that, contrary to folklore, Einstein never really cared for geometrizing the gravitational or the electromagnetic field; indeed, he thought that the very statement that General Relativity geometrizes gravity "is not saying anything at all". Instead, I shall show that Einstein saw the "unification" of inertia and gravity as one of the major achievements of General Relativity. Interestingly, Einstein did not locate this unification in the field equations but in his interpretation of the geodesic equation, (...)
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