Journal ArticleDOI
Stability of a Schwarzschild Singularity
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.read more
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Torsional oscillations of magnetized relativistic stars
TL;DR: In this paper, the authors derived the linearized perturbation equations that govern torsional oscillations coupled to the oscillations of a magnetic field, when variations in the metric are neglected (Cowling approximation).
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Horizon Instability of Extremal Black Holes
TL;DR: This paper showed that translation invariant derivatives of generic solutions to the wave equation do not decay along such horizons as advanced time tends to infinity, and in fact, higher order derivatives blow up.
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Quasinormal modes of black holes in Einstein-power-Maxwell theory
TL;DR: In this paper, the spectrum of quasinormal frequencies of four-dimensional (4D) charged black holes (BHs) in EpM theory was computed and an analytical expression for the spectrum in the eikonal limit was provided.
Journal ArticleDOI
New tensor spherical harmonics, for application to the partial differential equations of mathematical physics
TL;DR: Rank-A cartesian-tensor spherical harmonics are defined recursively by the ClebschGordan coupling of rank-k-1 tensor harmonics with certain complex basis vectors as mentioned in this paper.
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A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method
TL;DR: In this article, an approach to obtaining black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM) was discussed, initially developed to solve second order ordinary differential equations.