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arXiv 2407.07792gr-qcastro-ph.COhep-th
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最小大质量引力理论中的引力环降

Gravitational ringdown in the Minimal Theory of Massive Gravity

Hugo Roussille, François Larrouturou

AI总结:

本文研究最小大质量引力理论自加速分支中黑洞的引力扰动,采用一阶渐近求解与数值方法推导准正则模式,证明黑洞稳定且准正则模式与广义相对论平滑偏离,从而证实 GR 是 MTMG 的平滑极限,并为 LISA 检验提供可能。

摘要:

本文研究最小大质量引力理论(MTMG)自加速分支中黑洞的引力扰动。该理论是广义相对论(GR)的健康扩展,具有大质量张量模式的特征,且不引入额外极化、强耦合问题,也不需要屏蔽机制。我们采用一种新发展的技术,该方法不将扰动方程改写为二阶类薛定谔形式,而是基于一阶形式并对其进行渐近求解,然后数值推导准正则模式。我们发现,MTMG 的黑洞是稳定的,并且在引力子质量非零的情况下,其准正则模式与 GR 的结果平滑地不同。因此,本文证实了 GR 是 MTMG 的平滑极限,并开启了通过例如 LISA 探测器进行干净检验的令人兴奋的可能性。

英文摘要:

This work focuses on gravitational perturbations of black holes in the self-accelerating branch of the Minimal Theory of Massive Gravity (MTMG). This theory is a healthy extension of GR which displays the feature of massive tensor modes, without additional polarizations, strong-coupling issues nor requiring screening mechanisms. We proceed by implementing a newly developed technique that, instead of considering a second-order Schrödinger-like reformulation of perturbation equations, relies on a first-order formulation and solves it asymptotically, before numerically deriving the quasi-normal modes. We find that the black holes of MTMG are stable, and that their quasi-normal modes smoothly differ from the GR ones, for non-vanishing values of the graviton mass. This work hence confirms the fact that GR is a smooth limit of MTMG, and opens the exciting possibility of a clean test, performed for instance by the LISA detector.

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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