2019
DOI: 10.1142/s0218271819500925
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A connection between linearized Gauss–Bonnet gravity and classical electrodynamics

Abstract: A connection between linearized Gauss-Bonnet gravity and classical electrodynamics is found by developing a procedure which can be used to derive completely gauge invariant models. The procedure involves building the most general Lagrangian for a particular order of derivatives (N ) and rank of tensor potential (M ), then solving such that the model is completely gauge invariant (the Lagrangian density, equation of motion and energy-momentum tensor are all gauge invariant). In the case of N = 1 order of deriva… Show more

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Cited by 15 publications
(38 citation statements)
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“…Lanczos was considering various invariants that can be obtained from the Riemannian tensors, as presented in his paper I 1 = R µν R µν , I 2 = R 2 and I 3 = R µναβ R µναβ . Of course these are the 3 invariants found above in the Gauss-Bonnet theorem, and the 3 invariants derived in [1]…”
Section: This Contribution Was First Introduced To the Physics Community By Corneliusmentioning
confidence: 79%
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“…Lanczos was considering various invariants that can be obtained from the Riemannian tensors, as presented in his paper I 1 = R µν R µν , I 2 = R 2 and I 3 = R µναβ R µναβ . Of course these are the 3 invariants found above in the Gauss-Bonnet theorem, and the 3 invariants derived in [1]…”
Section: This Contribution Was First Introduced To the Physics Community By Corneliusmentioning
confidence: 79%
“…In [1], a procedure for deriving completely gauge invariant models from general linear combinations of derivatives of order N and rank of potential M was developed. Complete gauge invariance occurs for a model when the Lagrangian density, equation of motion and energy-momentum tensor are all independently and exactly gauge invariant.…”
Section: Motivationmentioning
confidence: 99%
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