Gauge-invariant perturbations of Schwarzschild black holes in horizon-penetrating coordinates

被引：100

作者：

Sarbach, O ^{[1
]}

Tiglio, M

机构：

[1] Penn State Univ, Dept Phys, Ctr Gravitat Phys & Geometry, University Pk, PA 16802 USA

[2] Penn State Univ, Dept Astron & Astrophys, University Pk, PA 16802 USA

来源：

PHYSICAL REVIEW D | 2001年 / 64卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.64.084016

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the gauge-invariant part of the metric perturbations from the amplitudes obeying our generalized Regge-Wheeler and Zerilli equations, and vice-versa. We also give a general expression for the radiated energy at infinity, and establish a relation between our geometrical equations and the Teukolsky formalism. The results presented in this paper are expected to be useful for the close-limit approximation to black hole collisions. for the Cauchy perturbative matching problem, and for the study of isolated horizons.

引用

页数：15

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