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
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Journal ArticleDOI
A Dialogue of multipoles: Matched asymptotic expansion for caged black holes
Dan Gorbonos,Barak Kol +1 more
TL;DR: In this paper, an analytic perturbation theory for a Schwarzschild black hole in a compact dimension was developed, where the small parameter is the size of the black hole relative to the small dimension of the compact dimension.
Journal ArticleDOI
The Kerr Metric
TL;DR: In this article, the authors describe the events leading up to the discovery of the Kerr metric in 1963 and the enormous impact the discovery has had in the subsequent 50 years, including its application to black hole stability and quasi-normal modes.
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Quasinormal modes of a black hole surrounded by quintessence
Songbai Chen,Jiliang Jing +1 more
TL;DR: In this paper, the authors evaluate the quasinormal frequencies of massless scalar field perturbation around a black hole which is surrounded by static and spherically symmetric quintessence.
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On the instability regime of the rotating Kerr spacetime to massive scalar perturbations
TL;DR: The instability of rotating Kerr black holes due to massive scalar perturbations is investigated in this article, where it is shown that the system is stable to massive perturbation in the regime ω m Ω, where m is the azimuthal harmonic index of the mode.
Journal ArticleDOI
Self-force and radiation reaction in general relativity.
Leor Barack,Adam Pound +1 more
TL;DR: The theory of self-force in curved spacetime and its application to the astrophysical inspiral problem has been surveyed in this article, with a review of the state-of-the-art.