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arXiv 2402.17835gr-qchep-th
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多度规引力中的黑洞

Black Holes in Multi-Metric Gravity

Kieran Wood, Paul M. Saffin, Anastasios Avgoustidis

AI总结:

在任意时空维度的一般无鬼多度规引力理论中构造了三类黑洞解,通过线性化理论分析大质量自旋-2模式的动力学,并探讨了4维多Schwarzschild和多Kerr解的稳定性及不稳定性延伸。

摘要:

我们构造了任意时空维度下一般无鬼多度规引力理论的一大类黑洞解,推广并扩展了4维dRGT大质量引力和双引力中的已知结果。根据度规能否同时对角化,这些解被分为三大普适类——其中一类在dRGT大质量引力和双引力中并不存在,仅当存在两个以上相互作用的度规场时才可能。我们还对一般多度规理论进行线性化以确定大质量自旋-2模式的动力学,包括可解析求解的例子,并利用该线性理论讨论了4维多Schwarzschild解和多Kerr解的稳定性。我们解释了在dRGT大质量引力和双引力中困扰这些解的不稳定性如何延伸至一般多度规理论,并触及了维度解构的思想以解释这些结果。

英文摘要:

We construct a wide class of black hole solutions to the general theory of ghost free multi-metric gravity in arbitrary spacetime dimension, extending and generalising the known results in 4-dimensional dRGT massive gravity and bigravity. The solutions are split into three generic classes based on whether the metrics can be simultaneously diagonalised - one of which does not exist in dRGT massive gravity nor bigravity, and is only possible when one has more than two interacting metric fields. We also linearise the general multi-metric theory to determine the dynamics of the massive spin-2 modes, including examples where this can be done analytically, and use the linear theory to discuss the stability of the 4-dimensional multi-Schwarzchild and multi-Kerr solutions. We explain how the instabilities that plague these solutions in dRGT massive gravity and bigravity carry across to the general multi-metric theory, touching upon ideas of dimensional deconstruction to make sense of the results.

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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