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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

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

TL;DR: In this paper, the authors analyzed the fermionic quasinormal modes of the BTZ black hole in the presence of space-time noncommutativity and showed that the horizon temperatures in the dual CFT are modified due to non-commutative contributions.

Analytical solution of linear ordinary differential equations by differential transfer

Sina Khorasani, +1 more
TL;DR: In this paper, a new analytical method for exact solution of homogeneous linear ordinary differential equations with arbitrary order and variable coefficients was proposed, based on the definition of jump transfer matrices and their extension into limiting differential form.
Journal ArticleDOI

A simple test for stability of black hole by $S$-deformation

TL;DR: In this article, a sufficient condition for proving the stability of a black hole when the master equation for linear perturbation takes the form of the Schrodinger equation was studied, and it was shown that it is easy to find a regular deformation function by numerically solving the differential equation such that the deformed potential vanishes everywhere, when the spacetime is stable.
Journal ArticleDOI

Static response and Love numbers of Schwarzschild black holes

TL;DR: In this article, the authors derived the quadratic action for the physical degrees of freedom of massless spin-0, spin-1, and spin-2 perturbations on a Schwarzschild--(A)dS background in arbitrary dimensions.
Journal ArticleDOI

Mass-radius relation for neutron stars in f (R )=R +α R 2 gravity: A comparison between purely metric and torsion formulations

TL;DR: In this article, the mass-radius relation in both metric and torsional f(R)=R+αR2 gravity models is investigated, and it is shown that torsion effects decrease the compactness and total mass of neutron stars with respect to the general relativity predictions, therefore mimicking the effects of a repulsive massive field.
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