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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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Barrow fractal entropy and the black hole quasinormal modes

TL;DR: Using the Boltzmann-gibbs statistical mechanics together with the quasinormal modes of the black holes and the Bekenstein-Hawking area entropy law, the authors in this paper determined univocally the lowest possible value for the spin j, which is j m i n = 1, in the framework of the Loop Quantum Gravity theory.
Journal ArticleDOI

An extension of Newton's apsidal precession theorem

TL;DR: In this paper, a general function for the apsidal angle, dependent only on e and N as the potential is spherically symmetric, is derived and approximate ways of the solution of this equation, in the neighbourhood of N = 2.
Journal ArticleDOI

Nonradial oscillations of neutron stars with a solid crust - Analysis in the relativistic Cowling approximation

TL;DR: In this paper, the relativistic effects on nonradial oscillations of neutron stars with a solid crust and a fluid core were computed in relativistically approximated Cowling approximations, where all metric perturbations are ignored.
Journal ArticleDOI

Gauge and Averaging in Gravitational Self-force

TL;DR: In this paper, it was shown that the self-force is always given by the angle average of the bare gravitational force, and that the same mode-by-mode subtraction may be performed in all parity-regular gauges.
Journal ArticleDOI

Existence and Instability of Novel Hairy Black Holes in Shift-symmetric Horndeski Theories

TL;DR: In this paper, it was shown that scalar perturbations around black hole backgrounds inevitably have gradient instabilities, and this newly discovered instability rules out black holes with time-dependent scalar hair in Horndeski theories.
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