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Journal ArticleDOI

Stability of a Schwarzschild Singularity

Tullio Regge, +1 more
- 15 Nov 1957 - 
- Vol. 108, Iss: 4, pp 1063-1069
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.

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Journal ArticleDOI

Echoes from a singularity

TL;DR: In this paper, the ringdown profile of the Janis-Newman-Winicour (JNW) naked singularity under axial gravitational perturbation was studied.
Journal ArticleDOI

Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates

TL;DR: In this article , the authors studied the quasinormal mode eigenvalues and eigenfunctions for the Teukolsky equation in a horizon penetrating, hyperboloidally compactified coordinate system.
Journal ArticleDOI

Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime

TL;DR: In this article, it was shown that not all quasinormal modes of a massless scalar field in the Schwarzschild metric are encoded in the corresponding characteristic equation expressed by means of a continued fraction.
Journal ArticleDOI

Instability of Schwarzschild–AdS black hole in Einstein–Weyl gravity

TL;DR: In this article, the authors investigated the stability of the Schwarzschild-AdS black hole in a massive gravity theory of the Einstein-Weyl gravity and showed that it exhibits unstable modes featuring the Gregory-Laflamme instability of five-dimensional AdS black string.
Journal ArticleDOI

Ringing of a black hole in a dark matter halo

TL;DR: In this article, the authors studied the QNMs of cold dark matter and scalar field dark matter (SFDM) models using the methods of the material field perturbations and the gravitational perturbation, and make comparisons with the Schwarzschild black hole.
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