论文标题
（抗）de Sitter SpaceTime中巨大和部分无质量的自旋2场的黑洞扰动
Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime
论文作者
论文摘要
我们在Schwarzschild（Anti）De Sitter Black Backnrowd背景中，在四个和更高的时空维度中提供了一个系统性和全面的派生。特别是，我们展示了如何获得传播模式的二次作用，并以类似schrödinger形式的运动方程重塑了所得的运动方程。对于Schwarzschild de Sitter SpaceTime中的部分无质量领域，我们研究了不同平价模式之间的等光谱。特别是，我们在四个时空维度中具有多极数$ l = 1 $的模式分析性地证明了等值镜，提供了基础对称性的明确形式。我们表明，在更高维度的Schwarzschild de Sitter SpaceTimes中，不同奇偶校验的部分无质量模式之间的等光谱被打破。
We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In particular, we show how to obtain the quadratic actions for the propagating modes and recast the resulting equations of motion in a Schrödinger-like form. In the case of partially massless fields in Schwarzschild de Sitter spacetime, we study the isospectrality between modes of different parity. In particular, we prove isospectrality analytically for modes with multipole number $L=1$ in four spacetime dimensions, providing the explicit form of the underlying symmetry. We show that isospectrality between partially massless modes of different parity is broken in higher-dimensional Schwarzschild de Sitter spacetimes.
