论文标题
黑洞热力学的零范围在任意高级引力理论中
The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity
论文作者
论文摘要
我们将拉格朗日中任意较高衍生术语的重力理论视为对爱因斯坦一般相对论的领先的两个衍生性理论的校正。我们在这种理论中构建了黑洞热力学的零定律的证明。我们假设在任意较高衍生理论中的固定黑洞解可以通过从一般相对论中的相应固定解开始，并通过在较高导数拉格朗日的耦合常数中按顺序纠正IT顺序。我们证明，对于此类固定的黑洞，即零法定，表面重力在其地平线上保持恒定。我们认为地平线上的表面重力的恒定与此类理论中运动方程的特定组成部分有关。我们进一步使用固定黑洞近地平线时空的特定增强对称性来限制运动方程的外壳结构。我们对零法律的证明在较高衍生耦合的扩展中符合任意顺序。
We consider diffeomorphism invariant theories of gravity with arbitrary higher derivative terms in the Lagrangian as corrections to the leading two derivative theory of Einstein's general relativity. We construct a proof of the zeroth law of black hole thermodynamics in such theories. We assume that a stationary black hole solution in an arbitrary higher derivative theory can be obtained by starting with the corresponding stationary solution in general relativity and correcting it order by order in a perturbative expansion in the coupling constants of the higher derivative Lagrangian. We prove that surface gravity remains constant on its horizon when computed for such stationary black holes, which is the zeroth law. We argue that the constancy of surface gravity on the horizon is related to specific components of the equations of motion in such theories. We further use a specific boost symmetry of the near horizon space-time of the stationary black hole to constrain the off-shell structure of the equations of motion. Our proof for the zeroth law is valid up to arbitrary order in the expansion in the higher derivative couplings.
