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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

Stability of nonradial oscillations of cold nonrotating neutron stars. i. general method.

TL;DR: In this paper, a general method for analysing the stability of equilibrium configurations of cold nonrotating fully relativistic neutron stars for nonradial modes of oscillation is outlined, on the assumption that the star is made of a perfect fluid.
Journal ArticleDOI

On the linear stability of the extreme Kerr black hole under axially symmetric perturbations

TL;DR: In this paper, it was shown that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole there exists a positive definite and conserved energy, which provides a basic criteria for linear stability in axial symmetry.
Journal ArticleDOI

Quasinormal modes of a black hole with quintessence-like matter and a deficit solid angle: scalar and gravitational perturbations

TL;DR: Li et al. as discussed by the authors studied the quasinormal modes of a global monopole by WKB method and showed that both the real and imaginary frequencies decrease as the state parameter $w$ for scalar and gravitational perturbations.
Journal ArticleDOI

Quasi-Normal Modes of Hairy Scalar Tensor Black Holes: Odd Parity

TL;DR: In this paper, the odd parity gravitational quasi-normal mode spectrum of black holes with non-trivial scalar hair in Horndeski gravity is investigated, and statistical error estimates for the new hairy parameters of the black hole and scalar field are given.
Journal ArticleDOI

Thermodynamic and classical instability of AdS black holes in fourth-order gravity

TL;DR: In this paper, the authors studied thermodynamic and classical instability of AdS black holes in fourth-order gravity and established the connection between the thermodynamic instability and the GL instability.
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