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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

Gregory-Laflamme instability of black hole in Einstein-scalar-Gauss-Bonnet theories

TL;DR: In this article, the authors investigated the stability analysis of a Schwarzschild black hole in the Gauss-Bonnet model and showed that the instability of the Schwarzschild solution is not the tachyonic instability but the Gregory-Laflamme instability of a black string.
Book ChapterDOI

Perturbations and Stability of Higher-Dimensional Black Holes

TL;DR: In this paper, the authors explain the gauge-invariant formulation for perturbations of background spacetimes with untwisted homologous Einstein fibres, which include lots of practically important spacesimes such as static black holes, static black branes and rotating black holes in various dimensions.
Journal ArticleDOI

Exact solutions of Regge-Wheeler equation

TL;DR: In this paper, the exact solutions of the Regge-wheeler equation in the Schwarzschild black hole interior and on Kruscal-Szekeres manifold are presented.
Journal ArticleDOI

Gas of wormholes: a possible ground state of Quantum Gravity

TL;DR: In this article, a variational calculation of the energy of the quantum gravitational field in an open space, as measured by an asymptotic observer living in a flat space-time, is presented.
Journal ArticleDOI

Gravitational waves from extreme-mass-ratio inspirals in equatorially eccentric orbits

TL;DR: Based on the numerical frame which combines the effective one-body (EOB) dynamics with the frequency-domain Teukolsky equation, the authors calculate the waveforms from the extreme-mass-ratio inspirals (EMRIs) with equatorially eccentric orbits.
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