论文标题
Schwarzschild Black Hole torsion Bigravity的扰动
Perturbations of a Schwarzschild black hole in torsion bigravity
论文作者
论文摘要
在本文中，我们探讨了施瓦茨柴尔德黑洞周围的线性扰动的研究，这是一个普遍的爱因斯坦 - 卡丹重力理论，称为扭力大。该理论包含无质量和巨大的自旋2激发。在这里，我们考虑使用通用多极性$ l \ geq 1 $的非球形对称扰动。我们扩展了线性稳定性的结论，以前以$ L = 0 $ [PHYS。 Rev. D 104，024032]，到通用$ l \ geq 1 $ case。我们证明，大量自旋-2激发的质量$κ$必须足够大，即$κR_H> \ sqrt {1+η} $，以避免在扰动方程中存在奇异性。扰动方程被证明具有三角形结构，其中巨大的旋转2激发满足解耦方程，而爱因斯坦样的无质量自旋2则满足了由大型Spin-2部门提供的异构方程。我们研究了数量结合的状态，并表现出一些明确的复杂的准结合频率。我们简要讨论超级不稳定性的问题。
In this paper we pursue the study of linear perturbations around a Schwarzschild black hole in a generalized Einstein-Cartan theory of gravity, called torsion bigravity. This theory contains both massless and massive spin-2 excitations. Here we consider non spherically-symmetric perturbations with generic multipolarity $L \geq 1$. We extend the conclusion of linear stability, previously obtained for $L=0$ [Phys. Rev. D 104, 024032], to the generic $L \geq 1$ case. We prove that the mass $κ$ of the massive spin-2 excitation must be large enough, namely $κr_h > \sqrt{1+η}$, to avoid the presence of singularities in the perturbation equations. The perturbation equations are shown to have a triangular structure, where massive spin-2 excitations satisfy decoupled equations, while the Einstein-like massless spin-2 ones satisfy inhomogeneous equations sourced by the massive spin-2 sector. We study quasi-bound states, and exhibit some explicit complex quasi-bound frequencies. We briefly discuss the issue of superradiance instabilities.
