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An exploration of the black hole entropy in Gauss–Bonnet gravity via the Weyl tensor

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Various proposals for gravitational entropy densities have been constructed from the Weyl tensor. In almost all cases, though, these studies have been restricted to general relativity, and little has been… Click to show full abstract

Various proposals for gravitational entropy densities have been constructed from the Weyl tensor. In almost all cases, though, these studies have been restricted to general relativity, and little has been done in modified theories of gravity. However, in this paper, we investigate the simplest proposal for an entropy density constructed from the Weyl tensor in five-dimensional Gauss–Bonnet gravity and find that it fails to reproduce the expected entropy of a black hole.

Keywords: weyl; bonnet gravity; weyl tensor; gauss bonnet

Journal Title: Modern Physics Letters A
Year Published: 2021

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