General covariance from the perspective of noether's theorems
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Diálogos (Puerto Rico) 79:59-86 (2002)
Analysis of Emmy Noether’s 1918 theorems provides an illuminating method for testing the consequences of “coordinate generality”, and for exploring what else must be added to this requirement in order to give general covariance its far-reaching physical significance. The discussion takes us through Noether’s first and second theorems, and then a third related theorem due originally to F. Klein. Contact will also be made with the contributions of, principally, J.L. Anderson, A. Trautman, P.A.M. Dirac, R. Torretti and the father of the whole business, A. Einstein (an apparent shift in Einstein’s thinking on the significance of general covariance between 1916 and 1918 is highlighted).
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K. A. Brading & T. A. Ryckman (2008). Hilbert's 'Foundations of Physics': Gravitation and Electromagnetism Within the Axiomatic Method. Studies in History and Philosophy of Science Part B 39 (1):102-153.
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