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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

A GPU-Accelerated Mixed-Precision WENO Method for Extremal Black Hole and Gravitational Wave Physics Computations

TL;DR: A novel mixed-precision weighted essentially non-oscillatory (WENO) method for solving the Teukolsky equation, which arises when modeling perturbations of Kerr black holes, and applies this method to study the behavior of the Aretakis charge, that if detected by a gravitational wave observatory like LIGO/Virgo would prove the existence of extremal black holes.
Journal ArticleDOI

Possible confirmation of the existence of ergoregion by the Kerr quasinormal mode in gravitational waves from Pop III massive black hole binary

TL;DR: In this paper, the existence of the Kerr space-time has not been confirmed observationally yet by observing the quasinormal mode in gravitational waves, and the authors show that the confirmation would be possible through observing the quasi-normal mode in the gravitational waves.
Journal ArticleDOI

Gravitational instability of the inner static region of a Reissner-Nordstrom black hole

TL;DR: In this paper, the authors prove that the interior static region of Reissner-Nordstrom black holes is unstable under linear gravitational perturbations, by showing that field perturbation compactly supported within this region will generate a mode that grows exponentially in time.
Journal ArticleDOI

Signatures of the sources in the gravitational waves of a perturbed Schwarzschild black hole

TL;DR: In this paper, the explicit form of perturbation equation for the Ψ4 Weyl scalar, containing the matter source terms, is derived for general type D spacetimes.
Posted Content

Anomalous decay rate of quasinormal modes in Schwarzschild-dS and Schwarzschild-AdS black holes

TL;DR: In this paper, an anomalous decay rate of the quasinormal modes of a massive scalar field in Schwarzschild black holes backgrounds was reported in which the longest-lived modes are the ones with higher angular number.
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