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arXiv 2201.06683gr-qchep-th
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高维AdS-like黑洞与Einstein-Bumblebee引力中的相变

High dimensional AdS-like black hole and Phase transition in Einstein-bumblebee gravity

Chikun Ding, Yu Shi, Jun Chen, Yuebing Zhou, Changqing Liu

摘要:

本文在Einstein-Bumblebee引力理论中得到了一个精确的高维反德西特(AdS)黑洞解。这个类AdS的黑洞只能存在于大黄蜂场的线性函数势中。我们发现,在这个洛伦兹对称破缺的黑洞时空中,只要对它的温度、熵和体积稍加修改,Smarr公式和黑洞热力学第一定律仍然可以被构造出来。我们还发现存在两种相变:小-大黑洞相变和Hawking-Page相变,类似于Schwarzschild AdS黑洞的相变。洛伦兹对称性破缺后,热容发散点处的黑洞质量变小,亚稳态大黑洞的吉布斯自由能也变小,表明更容易形成大的稳定黑洞。

英文摘要:

In this paper we obtain an exact high dimensional anti-de Sitter (AdS) black hole solution in Einstein-bumblebee gravity theory. This AdS-like black hole can only exist with a linear functional potential of the bumblebee field. We find that the Smarr formula and the first law of black hole thermodynamics can still be constructed in this Lorentz symmetry breaking black hole spacetime as long as its temperature, entropy and volume are slightly modified. We find also that there exist two kinds of phase transition: small-large black hole phase transition and Hawking-Page phase transition, like those of Schwarzschild AdS black hole. After Lorentz symmetry breaking, the black hole mass at divergent point of heat capacity becomes small, and the Gibbs free energy of the meta-stable large black hole is also smaller, showing that the large stable black hole can be more easily formed.

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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