Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2012 Jul 20;109(3):031101. doi: 10.1103/PhysRevLett.109.031101. Epub 2012 Jul 17.
We investigate properties of the inner horizons of certain black holes in higher-derivative three-dimensional gravity theories. We focus on Bañados-Teitelboim-Zanelli and spacelike warped anti-de Sitter black holes, as well as on asymptotically warped de Sitter solutions exhibiting both a cosmological and a black hole horizon. We verify that a first law is satisfied at the inner horizon, in agreement with the proposal of Castro and Rodriguez [arXiv:1204.1284]. We then show that, in topologically massive gravity, the product of the areas of the inner and outer horizons fails to be independent on the mass, and we trace this to the diffeomorphism anomaly of the theory.
我们研究了高导数三维引力理论中某些黑洞内视界的性质。我们关注的是 Bañados-Teitelboim-Zanelli 和类空扭曲反德西特黑洞，以及同时具有宇宙学视界和黑洞视界的渐近扭曲德西特解。我们验证了在内视界处满足第一定律，这与 Castro 和 Rodriguez 的提议相符[arXiv:1204.1284]。然后我们表明，在拓扑引力中，内视界和外视界的面积乘积不依赖于质量，我们将其归因于该理论的微分同胚异常。
