论文标题

协变熵超出了一般相对论

Covariant entropy bound beyond general relativity

论文作者

Matsuda, Taisuke, Mukohyama, Shinji

论文摘要

我们使用Wald-Jacobson-Myers熵而不是Bekenstein-Hawking熵提出了超出一般相对性(GR)的重力理论(GR)的协变熵。我们首先扩展了在4维GR中已知的结合的证明,到D维GR,F(r)重力和规范标量调整理论。然后,我们将Einstein-Gauss-Bonnet(EGB)重力视为一个更加平底的例子,在一组合理的假设下,证明了球形对称构型的GR分支中的结合。作为推论,表明在无效的能量条件下,广义的第二定律在完全非线性水平的EGB重力的球形对称构型的GR分支中。

We propose a covariant entropy bound in gravitational theories beyond general relativity (GR), using Wald-Jacobson-Myers entropy instead of Bekenstein-Hawking entropy. We first extend the proof of the bound known in 4-dimensional GR to D-dimensional GR, f(R) gravity and canonical scalar-tensor theory. We then consider Einstein-Gauss-Bonnet (EGB) gravity as a more non-trivial example and, under a set of reasonable assumptions, prove the bound in the GR branch of spherically symmetric configurations. As a corollary, it is shown that under the null and dominant energy conditions, the generalized second law holds in the GR branch of spherically symmetric configurations of EGB gravity at the fully nonlinear level.

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