BHT大质量引力场的三维黑洞、引力孤子、扭结和虫洞
Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
摘要：
本文考虑了最近由Bergshoeff，Hohm和Townsend提出的三维质量引力理论（BHT）。当理论存在唯一的最大对称解时，对于任意的宇宙学常数，我们发现了一个包含黑洞和引力孤子的共形平坦空间，对于负的宇宙学常数，我们用质量和引力头发参数刻画了黑洞，给出了质量的下界.对于负质量参数，黑洞获得一个内视界，在极端情况下熵为零。从黑洞的双Wick旋转中得到了处处规则的引力孤子和引力扭结。作为引力孤立子的一种极限情况，通过适当的识别，得到了一个在两个负空间曲率的静态宇宙之间插值的真空中的虫洞解。黑洞和引力孤立子符合一组放松的渐近AdS条件相比，布朗和Henneaux。在正宇宙学常数的情况下，黑洞拥有一个事件和一个宇宙学视界，其质量从上到下是有界的。值得注意的是，事件的温度和宇宙学视界是一致的，在极端情况下，人们得到了Nariai解的类似物，$dS_{2}\times S^{1}$。通过黑洞的双Wick旋转也得到了引力孤子。这些解的欧几里德延拓描述了欧几里德作用量为零的瞬子。当宇宙学常数为零时，黑洞和引力孤子是渐近局部平坦的时空。旋转解可以通过在$t-ϕ$平面内推进先前的解来获得。
英文摘要：
The theory of massive gravity in three dimensions recently proposed by Bergshoeff, Hohm and Townsend (BHT) is considered. At the special case when the theory admits a unique maximally symmetric solution, a conformally flat space that contains black holes and gravitational solitons for any value of the cosmological constant is found. For negative cosmological constant, the black hole is characterized in terms of the mass and the "gravitational hair" parameter, providing a lower bound for the mass. For negative mass parameter, the black hole acquires an inner horizon, and the entropy vanishes at the extremal case. Gravitational solitons and kinks, being regular everywhere, are obtained from a double Wick rotation of the black hole. A wormhole solution in vacuum that interpolates between two static universes of negative spatial curvature is obtained as a limiting case of the gravitational soliton with a suitable identification. The black hole and the gravitational soliton fit within a set of relaxed asymptotically AdS conditions as compared with the ones of Brown and Henneaux. In the case of positive cosmological constant the black hole possesses an event and a cosmological horizon, whose mass is bounded from above. Remarkably, the temperatures of the event and the cosmological horizons coincide, and at the extremal case one obtains the analogue of the Nariai solution, $dS_{2}\times S^{1}$. A gravitational soliton is also obtained through a double Wick rotation of the black hole. The Euclidean continuation of these solutions describes instantons with vanishing Euclidean action. For vanishing cosmological constant the black hole and the gravitational soliton are asymptotically locally flat spacetimes. The rotating solutions can be obtained by boosting the previous ones in the $t-ϕ$ plane.
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