Journal ArticleDOI
Stability of a Schwarzschild Singularity
TLDR
In this article, it was shown that a Schwarzschild singularity, spherically symmetrical and endowed with mass, will undergo small vibrations about the spherical form and therefore remain stable if subjected to a small nonspherical perturbation.Abstract:
It is shown that a Schwarzschild singularity, spherically symmetrical and endowed with mass, will undergo small vibrations about the spherical form and will therefore remain stable if subjected to a small nonspherical perturbation.read more
Citations
More filters
Journal ArticleDOI
Asymptotic Quasinormal Frequencies for Black Holes in Non-Asymptotically Flat Spacetimes
TL;DR: In this paper, the exact computation of asymptotic quasinormal frequencies is a technical problem which involves the analytic continuation of a Schrodinger-like equation to the complex plane and then performing a method of monodromy matching at the several poles in the plane.
Journal ArticleDOI
The linear stability of the Schwarzschild solution to gravitational perturbations
TL;DR: In this article, the authors proved the linear stability of the celebrated Schwarzschild family of black holes in general relativity: solutions to the linearisation of the Einstein vacuum equations around a Schwarzschild metric arising from regular initial data remain globally bounded on the black hole exterior and in fact decay to a linearised Kerr metric.
Journal ArticleDOI
Stability of Schwarzschild-like solutions in f ( R , G ) gravity models
TL;DR: In this paper, the authors study linear metric perturbations around a spherically symmetric static spacetime for general $f(R,\mathcal{G})$ theories, where R is the Ricci scalar and G is the Gauss-Bonnet term.
Journal ArticleDOI
Exact Solutions of Regge-Wheeler Equation and Quasi-Normal Modes of Compact Objects
TL;DR: In this paper, the Regge-Wheeler Equation (RWE) is used to describe the axial perturbations of the Schwarzschild metric in the linear approximation.
Journal ArticleDOI
Physics, Astrophysics and Cosmology with Gravitational Waves
TL;DR: In this article, the authors review the physics of gravitational waves, how they interact with detectors (bars and interferometers), and how these detectors operate, and consider the consequences of gravitational wave detections and observations.