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arXiv 1503.08429hep-thgr-qc
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AdS $_3$中的所有静态黑洞

All Static Black Holes in AdS$_3$

Nidal Haddad

摘要:

本文给出了具有负宇宙学常数的三维引力场的一般静态真空解。尽管所有的解都是局部同构于纯$AdS_{3}$的,但存在全局不同于后一空间的解。新的解决方案与黑洞的$AdS_3$边界被发现在全球和庞加莱坐标。在庞加莱坐标系中,这样的解被称为黑漏斗和黑滴。我们的一般静态度规所提供的黑漏斗与$1+1$边界理论中的Hartle-Hawking态是对偶的。

英文摘要:

In this work we find the general static vacuum solution of three dimensional gravity with negative cosmological constant. Even though all solutions are locally diffeomorphic to pure $AdS_{3}$, solutions that differ globally from the latter space exist. New solutions with black holes on the $AdS_3$ boundary are found in both global and Poincare coordinates. In the Poincare coordinates such solutions are known as black funnels and black droplets. The black funnel provided by our general static metric is dual to the Hartle-Hawking state in the $1+1$ boundary theory.

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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