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arXiv 2406.13461hep-thgr-qc
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Kalb-Ramond引力中的静态中性黑洞

Static neutral black holes in Kalb-Ramond gravity

Wentao Liu, Di Wu, Jieci Wang

AI总结:

本文在Kalb-Ramond引力中构造了更一般的静态中性球对称黑洞解,证明其满足黑洞热力学定律,并首次发现静态AdS黑洞可以违反反向等周不等式。

摘要:

Kalb-Ramond(KR)引力理论是一种修正引力理论,它使具有非零真空期望值的KR场与引力场非最小耦合,能够自发破缺引力的洛伦兹对称性。在最近的一项工作中,Yang等人[Phys. Rev. D 108, 124004 (2023)]在KR引力框架内成功推导出了带有和不带有非零宇宙学常数的类Schwarzschild黑洞解。然而,他们的分析并未涉及更一般的静态、中性、球对称黑洞情形。在本文中,我们通过求解场方程来填补这一空白,构造出更一般的静态、中性、球对称黑洞解,包括带有和不带有非零宇宙学常数的情况。我们证明所得到的黑洞解满足黑洞热力学的第一定律和Bekenstein-Smarr质量公式。此外,我们证明我们的静态中性球对称AdS黑洞并不总是满足反向等周不等式(RII),因为等周比可以大于或小于1,具体取决于解参数在参数空间中的位置。这种行为与上述KR引力理论中始终满足RII的类Schwarzschild AdS黑洞形成对比。重要的是,当前更一般的静态、中性、球对称AdS黑洞是第一个可以违反RII的静态AdS黑洞实例。

英文摘要:

The Kalb-Ramond (KR) gravity theory, a modified gravity theory that nonminimally couples a KR field with a nonzero vacuum expectation value for the gravitational field, can spontaneously break the Lorentz symmetry of gravity. In a recent work, Yang et al. [Phys. Rev. D 108, 124004 (2023)] successfully derived Schwarzschild-like black hole solutions both with and without a nonzero cosmological constant within the framework of KR gravity. However, their analysis did not address the more general case of static, neutral, spherically symmetric black holes. In this paper, we fill this gap by resolving the field equations to construct more general static, neutral, spherically symmetric black hole solutions both with and without a nonzero cosmological constant. Our black hole solutions are shown to obey the first law and the Bekenstein-Smarr mass formulas of black hole thermodynamics. Moreover, we demonstrate that our static neutral spherically symmetric AdS black hole does not always satisfy the reverse isoperimetric inequality (RII), as the isoperimetric ratio can be larger or smaller than unity depending on the placement of the solution parameters within the parameter space. This behavior contrasts with the above-mentioned Schwarzschild-like AdS black hole in the KR gravity theory, which always obeys the RII. Significantly, the present more general static, neutral, spherically symmetric AdS black hole is the first example of a static AdS black hole that can violate the RII.

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