Inducing the Cosmological Constant from Five-Dimensional Weyl Space

Foundations of Physics 39 (11):1205-1216 (2009)
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We investigate the possibility of inducing the cosmological constant from extra dimensions by embedding our four-dimensional Riemannian space-time into a five-dimensional Weyl integrable space. Following the approach of the space-time-matter theory we show that when we go down from five to four dimensions, the Weyl field may contribute both to the induced energy-tensor as well as to the cosmological constant Λ, or more generally, it may generate a time-dependent cosmological parameter Λ(t). As an application, we construct a simple cosmological model in which Λ(t) has some interesting properties



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One hundred years of Weyl’s (unfinished) unified field theory.C. Romero, R. G. Lima & T. A. T. Sanomiya - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 66 (C):180-185.

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References found in this work

Space-Time-Matter.Hermann Weyl - 1922 - London,: E.P. Dutton and Company. Edited by Henry L. Brose.
Theory of relativity.Wolfgang Pauli - 1958 - New York,: Pergamon Press.
Theory of Relativity.W. Pauli & G. Field - 1960 - Philosophy of Science 27 (2):223-224.
Wesson’s Induced Matter Theory with a Weylian Bulk.Mark Israelit - 2005 - Foundations of Physics 35 (10):1725-1748.

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