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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

Black hole stability under odd-parity perturbations in Horndeski gravity

TL;DR: In this paper, the stability under linear odd-parity perturbations of static spherically symmetric black holes in Horndeski gravity was studied and the conditions of no-ghost and Laplacian instability were derived.
Journal ArticleDOI

Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime

TL;DR: In this paper, the Schwarzschild-de Sitter and the de Sitter space energy difference are calculated for manifolds with boundaries and the existence of an unstable mode even for the non-degenerate case is discovered.
Journal ArticleDOI

Expanded evasion of the black hole no-hair theorem in dilatonic Einstein-Gauss-Bonnet theory

TL;DR: In this paper, the authors considered the case of a negative Gauss-Bonnet coefficient α within the coupling function, f(ϕ)=αeγϕ, in an asymptotically flat spacetime, and constructed the new integral constraint allowing the existence of the hairy solutions with the negative coefficient α.
Journal ArticleDOI

Dynamical l-boson stars: Generic stability and evidence for nonspherical solutions

TL;DR: In this paper, the stability of single-field boson stars against nonspherical perturbations was investigated by performing numerical evolutions of the Einstein-Klein-Gordon system, with a 3D code.
Journal ArticleDOI

Quasinormal modes, echoes and the causal structure of the Green's function

TL;DR: In this paper, the authors consider the linearized perturbation equation with two potentials having disjoint bounded support and show that over short time scales the evolution is governed by the quasinormal frequencies of the individual potentials, while the sensitivity to global structure can be understood in terms of echoes.
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