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arXiv 2303.02663hep-thgr-qc
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二维中的广义黑洞熵

Generalized black hole entropy in two dimensions

Shin'ichi Nojiri, Sergei D. Odintsov, Valerio Faraoni

AI总结:

本文研究二维黑洞熵,指出 $F(R)$、Jackiw-Teitelboim 与 Sachdev-Ye-Kitaev 情形下熵为常数,但一般伸缩子引力可给出依赖质量、视界半径或温度的非常数广义熵。

摘要:

黑洞的 Bekenstein-Hawking 熵与其视界面积成正比,因此在 $D=2$ 时空维度中,由于视界退化为两个点,该熵为常数。这一事实与 Einstein 引力在二维中变为拓扑性引力相一致。在即使在 $D=2$ 中也非平凡的 $F(R)$ 引力中,我们发现熵与 Bekenstein-Hawking 情形一样是常数。正如 EPL 139 (2022) no.6, 69001(arXiv:2208.10146)所示,二维 $F(R)$ 引力等价于 Jackiw-Teitelboim 引力,而后者又等价于 Sachdev-Ye-Kitaev 模型,在该模型中熵在大 $N$ 极限下变为常数。近期提出的若干熵是 Bekenstein-Hawking 熵的函数,并在 $D=2$ 时变为常数,但在二维伸缩子引力中,熵并不总是常数。我们研究了一般伸缩子引力,并得到了任意静态黑洞解;对于这些解,非恒定的熵依赖于质量、视界半径或 Hawking 温度,并构成了广义熵的新提议。

英文摘要:

The Bekenstein-Hawking entropy of a black hole is proportional to its horizon area, hence in $D=2$ spacetime dimensions it is constant because the horizon degenerates into two points. This fact is consistent with Einstein's gravity becoming topological in two dimensions. In $F(R)$ gravity, which is non-trivial even in $D=2$, we find that the entropy is constant, as for Bekenstein-Hawking. As shown in EPL 139 (2022) no.6, 69001 (arXiv:2208.10146), two-dimensional $F(R)$ gravity is equivalent to Jackiw-Teitelboim gravity, in turn equivalent to the Sachdev-Ye-Kitaev model where the entropy becomes constant in the large $N$ limit. Several recently proposed entropies are functions of the Bekenstein-Hawking entropy and become constant in $D=2$, but in two-dimensional dilaton gravity entropies are not always constant. We study general dilaton gravity and obtain arbitrary static black hole solutions for which the non-constant entropies depend on the mass, horizon radius, or Hawking temperature, and constitute new proposals for a generalized entropy.

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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