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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

Charge and mass effects on the evaporation of higher-dimensional rotating black holes

TL;DR: In this article, the authors studied the dynamics of discharge of a brane black hole in TeV gravity scenarios and obtained the approximate electromagnetic field due to the charged black hole by solving Maxwell's equations perturbatively on the brane.
Journal ArticleDOI

Hawking radiation of the brane-localized graviton from a (4 + n)-dimensional black hole

TL;DR: In this paper, a radial equation for the brane-localized graviton absorbed/emitted by the ( 4+ n)-dimensional Schwarzschild black hole is derived. But the radial equation is not applicable to the (1 − 2 − 1)-dimensional case.
Book ChapterDOI

Perturbations and Stability of Higher-Dimensional Black Holes

TL;DR: In this article, 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

Non-equilibrium dynamics and AdS 4 Robinson-Trautman

TL;DR: In this paper, the area of the past apparent horizon of the Robinson-Trautman space-times is shown to be a generalized Penrose inequality and a suitable generalization of Thorne's hoop conjecture.
Posted Content

Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole

Pieter Blue, +1 more
TL;DR: In this article, the authors studied the decoupled wave equation in the exterior of a spherically symmetric, Schwarzschild, black hole and showed that the high angular momentum components of a solution decay sufficiently fast, particularly for low regularity initial data.
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