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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 under scalar perturbations and quasinormal modes of 4D Einstein-Born-Infeld dilaton spacetime: Exact spectrum

TL;DR: In this article, the stability under scalar perturbations of the Reissner-Nordstrom black hole was studied and the quasinormal modes of the Einstein-Born-Infeld dilaton spacetime were computed in 1+3 dimensions.
Journal ArticleDOI

Perturbations and Stability of Black Ellipsoids

TL;DR: In this article, the perturbations of two classes of static black ellipsoid solutions of four dimensional vacuum Einstein equations were studied in the context of the one-dimensional inverse scattering theory and the analysis was performed in the approximation of small eccentricity deformations of the Schwarzschild solution.
Journal ArticleDOI

Reconstruction of black hole metric perturbations from Weyl curvature: II. The Regge–Wheeler gauge

TL;DR: In this paper, the perturbation theory of rotating black holes is described in terms of Weyl scalars ψ4 and ψ0, each satisfying Teukolsky's complex master wave equation with spin s = 2, and respectively representing outgoing and ingoing radiation.
Journal ArticleDOI

Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity

- 02 Jun 2022 - 
TL;DR: In this paper , the authors consider a theory which modifies general relativity by introducing a scalar field coupled to a parity-violating curvature term known as dynamical Chern-Simons gravity and find strong evidence that these rotating black holes are linearly stable.
Journal ArticleDOI

Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations

TL;DR: In this article, a consistent test for General relativity by considering Chern-Simons gravity was provided by considering the polarization of quasi-normal modes (QNMs) of the final black-hole.
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