Analytic continuation for asymptotically AdS 3D gravity
Analytic continuation for asymptotically AdS 3D gravity
复制标题
渐进 AdS 3D 重力的解析延拓
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
K. Krasnov
中科院分区：
文献类型：
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作者：
K. Krasnov
我们以前提出，渐近AdS三维虫洞和黑洞可以解析地继续到欧几里德签名。解析延拓过程描述了非旋转时空，其中一个平面t = 0的时间对称存在。由此产生的欧几里得流形原来是一个以t = 0平面几何的肖特基二重为边界的双曲体。在本文中，我们推广这种解析延拓映射的情况下，旋转虫洞。我们得到的欧氏流形是双曲空间通过某个拟Fuchsian群的等价物。这个群是非旋转时空群的Fenchel-Nielsen变形。渐近区域的角速度被证明是有关的Fenchel-Nielsen扭曲。这解决了（2 + 1）维旋转黑洞和虫孔的分类问题：时空由相应欧几里得空间边界的模参数化。我们还评论了虫洞时空的热力学。
We have previously proposed that asymptotically AdS 3D wormholes and black holes can be analytically continued to the Euclidean signature. The analytic continuation procedure was described for non-rotating spacetimes, for which a plane t = 0 of time symmetry exists. The resulting Euclidean manifolds turned out to be handlebodies whose boundary is the Schottky double of the geometry of the t = 0 plane. In the present paper we generalize this analytic continuation map to the case of rotating wormholes. The Euclidean manifolds we obtain are quotients of the hyperbolic space by a certain quasi-Fuchsian group. The group is the Fenchel–Nielsen deformation of the group of the non-rotating spacetime. The angular velocity of an asymptotic region is shown to be related to the Fenchel–Nielsen twist. This solves the problem of classification of rotating black holes and wormholes in (2 + 1) dimensions: the spacetimes are parametrized by the moduli of the boundary of the corresponding Euclidean spaces. We also comment on the thermodynamics of the wormhole spacetimes.