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arXiv 2008.06574hep-thastro-ph.HEgr-qc
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三维Horava引力中旋转黑洞的再研究

Rotating Black Holes in Three-Dimensional Horava Gravity Revisited

Mu-In Park

摘要:

我重温旋转黑洞解在三维Horava引力与z = 2作为一个简单的设置的可重整化量子引力`a la Lifshitz和DeWitt。与三维爱因斯坦引力中的黑洞不同,对于非零旋转参数J,解在原点处具有曲率奇异性。对于反德西特空间,仍然存在黑洞事件视界,奇点不是裸露的,这与宇宙监督理论相一致。另一方面,对于平坦空间或德西特空间,早期的解也有一个宇宙审查问题,因为不存在像爱因斯坦引力那样的常规黑洞视界,除了后一种情况下通常的宇宙学视界之外,因此在Horava引力中奇点可能是裸露的。然而,在最近的修正的帮助下,我表明,解决方案有一个特殊的黑洞视界在原点,使奇点不是裸露的,即使没有传统的黑洞视界在平坦或de Sitter的情况下,由于洛伦兹违反高阶导数项。另一方面,我也注意到,一个新的“宇宙学”视界存在,即使是在平坦的情况下,与通常的智慧相反,由于更高的导数和角动量障碍的综合影响。我研究了在平坦空间和de Sitter空间以及反de Sitter空间中对它们不寻常的黑洞热力学的统一处理,这可能是由于在Lorentz违反引力中缺乏绝对视界。

英文摘要:

I revisit rotating black hole solutions in three-dimensional Horava gravity with z = 2 as a simpler set-up of the renormalizable quantum gravity `a la Lifshitz and DeWitt. The solutions have a curvature singularity at the origin for a non-vanishing rotation parameter J, unlike the black holes in three-dimensional Einstein gravity. For anti-de Sitter space, there are black hole event horizons as usual and the singularity is not naked, in agreement with the cosmic censorship. On the other hand, for flat or de Sitter space, the earlier solution has also a cosmic-censorship problem because there are no conventional black hole horizons as in Einstein gravity, other than the usual cosmological horizon for the latter case, so that the singularity could be naked in Horava gravity. However, with the help of recent corrections, I show that the solutions have a peculiar black hole horizon at the origin so that the singularity is not naked even without the conventional black hole horizons in flat or de Sitter case, due to the Lorentz-violating higher-derivative terms. On the other hand, I note also that a new ``cosmological" horizon exists even for the flat case, contrary to the usual wisdom, due to combined effects of the higher derivatives and the angular-momentum barrier. I study an unified treatment of their unusual black hole thermodynamics for the flat and de Sitter spaces, as well as the anti-de Sitter space, which might be due to lack of the absolute horizons in the Lorentz-violating gravity.

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