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.

中文翻译：

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通过 Weyl 张量探索 Gauss-Bonnet 引力中的黑洞熵

已经从外尔张量构建了各种关于引力熵密度的建议。然而，几乎在所有情况下，这些研究都仅限于广义相对论，而在修正的引力理论方面几乎没有做任何事情。然而，在本文中，我们研究了由五维 Gauss-Bonnet 引力中的 Weyl 张量构建的熵密度的最简单建议，并发现它无法再现黑洞的预期熵。