质量可变大质量引力中黑洞的微扰
Perturbations of black holes in mass-varying massive gravity
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中文总结 AI 辅助
研究质量可变大质量引力中黑洞微扰，基于特征分解和矩阵微扰理论提出分析方法，计算常标量史瓦西 -（反）德西特黑洞解微扰，揭示特定条件下黑洞张量部分简化及标量部分稳定情况，以及两类解的关系
中文摘要 AI 辅助
基于特征分解和矩阵微扰理论，我们提出一种分析大质量引力中微扰的替代方法，该方法适用于基础理论及其各种修正。我们证明了此方法即使在看似奇异的区域也有效。将此框架应用于质量可变大质量引力，我们计算了所有常标量史瓦西 -（反）德西特黑洞解的微扰。结果表明，在\(\beta = \alpha^2\)条件下，这些黑洞张量部分简化为广义相对论的情况，标量部分经适当参数选择可避免快子不稳定。还揭示了一般参数解与\(\beta = \alpha^2\)解之间更深层次的关系：它们解流形相交于微扰消失的特定轨迹。
英文摘要
Based on eigendecomposition and matrix perturbation theory, we propose an alternative method for analyzing perturbations in massive gravity that is applicable to both the base theory and its various modifications. We demonstrate the validity of this approach even in seemingly singular regimes. Applying this framework to mass-varying massive gravity, we compute perturbations for all constant-scalar Schwarzschild-(A)dS black hole solutions. We show that, under the condition $β= α^2$, the tensor sector of these black holes reduces to that of general relativity, while the scalar sector remains free from tachyonic instabilities given appropriate parameter choices. A deeper relationship is also revealed between the solutions with generic parameters and those with $β= α^2$: their solution manifolds intersect at a specific locus where the perturbation vanishes.
