Title: Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity Show Chinese title

Title: Iyer-Wald歧义性和高阶导数引力理论中熵流的规范协变性

Abstract: In [arXiv:2105.06455, arXiv:2206.04538], the authors have been able to argue for an ultra-local version of the second law of black hole mechanics, for arbitrary diffeomorphism invariant theories of gravity non-minimally coupled to matter fields, by constructing an entropy current on the dynamical horizon with manifestly positive divergence. This has been achieved by working in the horizon-adapted coordinate system. In this work, we show that the local entropy production through the divergence of the entropy current is covariant under affine reparametrizations that leave the gauge of horizon-adapted coordinates invariant. We explicitly derive a formula for how the entropy current transforms under such coordinate transformations. This extends the analysis of [arXiv:2204.08447] for arbitrary diffeomorphism invariant theories of gravity non-minimally coupled to matter fields. We also study the Iyer-Wald ambiguities of the covariant phase formalism that generically plague the components of the entropy current. Show Chinese abstract

Abstract: 在[arXiv:2105.06455, arXiv:2206.04538]中，作者能够为任意微分同胚不变的引力理论（非最小耦合物质场）论证黑洞力学的超局部版本的第二定律，这是通过在动态视界上构造一个散度明显为正的熵流来实现的。 这是通过在视界适应坐标系中进行工作的。 在本工作中，我们表明，通过熵流的散度产生的局部熵产率在保持视界适应坐标系规范不变的仿射重新参数化下是协变的。 我们显式推导了熵流在这样的坐标变换下的变换公式。 这扩展了[arXiv:2204.08447]对任意微分同胚不变的引力理论（非最小耦合物质场）的分析。 我们还研究了协变相位形式的Iyer-Wald歧义性，这些歧义性通常会影响熵流的组成部分。