Eikonal quasinormal modes of black holes beyond general relativity. II. Generalized scalar-tensor perturbations
Eikonal quasinormal modes of black holes beyond general relativity. II. Generalized scalar-tensor perturbations
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DOI：
10.1103/physrevd.101.044051
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发表时间：
2019-12
影响因子：
5
通讯作者：
Hector O. Silva;K. Glampedakis
中科院分区：
文献类型：
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作者：
Hector O. Silva;K. Glampedakis
黑洞“光谱学”，即通过引力波观测识别准正规模频率，是检验黑洞广义相对论性质的一种强有力的技术。在超越广义相对论的引力理论中，扰动黑洞通常由一组张量场和额外标量/矢量自由度的耦合波方程描述，从而导致理论特定的准正规模谱。在本文中，我们使用程函/几何光学近似获得的频率和阻尼率的基本准正规模式的广义，理论不可知的方程系统描述耦合标量张量扰动的球对称黑洞的解析公式。本模型代表了我们最近工作的扩展，包括大质量纯量场、场导数耦合和一阶框架拖曳旋转校正。远离球对称，我们考虑一般静止轴对称时空中标量波方程的简单模型，并使用程函近似来计算与赤道和非赤道光子环相关的准正规模。
Black hole `spectroscopy', i.e. the identification of quasinormal mode frequencies via gravitational wave observations, is a powerful technique for testing the general relativistic nature of black holes. In theories of gravity beyond general relativity perturbed black holes are typically described by a set of coupled wave equations for the tensorial field and the extra scalar/vector degrees of freedom, thus leading to a theory-specific quasinormal mode spectrum. In this paper we use the eikonal/geometric optics approximation to obtain analytic formulae for the frequency and damping rate of the fundamental quasinormal mode of a generalised, theory-agnostic system of equations describing coupled scalar-tensor perturbations of spherically symmetric black holes. Representing an extension of our recent work, the present model includes a massive scalar field, couplings through the field derivatives and first-order frame dragging rotational corrections. Moving away from spherical symmetry, we consider the simple model of the scalar wave equation in a general stationary-axisymmetric spacetime and use the eikonal approximation to compute the quasinormal modes associated with equatorial and nonequatorial photon rings.