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arXiv 2004.12995gr-qc
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低维Gauss-Bonnet引力与BTZ黑洞

Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes

Robie A. Hennigar, David Kubiznak, Robert B. Mann, Christopher Pollack

摘要:

本文研究了Gauss-Bonnet引力的$D\to 3$极限。我们发现两个不同的,但相似的版本的理论,并获得每个黑洞解。对于一个理论来说,这个解是BTZ黑洞的一个有趣的推广,BTZ黑洞没有恒定的曲率,但其热力学是相同的。另一个理论承认一个解决方案,渐近AdS,但不接近BTZ黑洞在小高斯-邦纳耦合的限制。我们还讨论了我们的解决方案和那些通过采取$D\to 3$极限的解决方案,$D$维爱因斯坦高斯-邦纳引力之间的区别。我们发现,这些后者的度量不是我们考虑的理论的解决方案,除了对参数的特定约束。

英文摘要:

We consider the $D\to 3$ limit of Gauss-Bonnet gravity. We find two distinct but similar versions of the theory and obtain black hole solutions for each. For one theory the solution is an interesting generalization of the BTZ black hole that does not have constant curvature but whose thermodynamics is identical. The other theory admits a solution that is asymptotically AdS but does not approach the BTZ black hole in the limit of small Gauss-Bonnet coupling. We also discuss the distinction between our solutions and those obtained by taking a $D\to 3$ limit of solutions to $D$-dimensional Einstein Gauss-Bonnet gravity. We find that these latter metrics are not solutions of the theories we consider except for particular constraints on the parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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