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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Journal ArticleDOI
Are black holes in alternative theories serious astrophysical candidates? The Case for Einstein-Dilaton-Gauss-Bonnet black holes
Paolo Pani,Vitor Cardoso +1 more
TL;DR: In this paper, the authors study dilatonic black holes, which arise in the framework of Gauss-Bonnet couplings and one-loop corrected four-dimensional effective theory of heterotic superstrings at low energies.
Journal ArticleDOI
Spherical Symmetry and Mass‐Energy in General Relativity. I. General Theory
Michael E. Cahill,G. C. McVittie +1 more
TL;DR: In this article, the Bianchi identity is shown to imply that the Misner-Sharp-Hernandez mass function is an integral of two combinations of Einstein's equations for any energymomentum tensor and that mass energy flow is conservative.
Journal ArticleDOI
Quasi-Normal Modes of Stars and Black Holes
TL;DR: In this article, a review of the theory of quasi-normal modes of compact objects from both the mathematical and astrophysical points of view is presented, including perturbations of black holes (Schwarzschild, Reissner-Nordstrom, Kerr and Kerr-Newman) and relativistic stars (non-rotating and slowly rotating).
Journal ArticleDOI
A Gravitational instability in higher dimensions
Gary W. Gibbons,Sean A. Hartnoll +1 more
TL;DR: In this paper, the authors explore a classical instability of spacetimes of dimension $Dg4$ and show that any Ricci flat spacetime may be stabilized by embedding into a higher dimensional spacetime with cosmological constant.
Journal ArticleDOI
Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
TL;DR: The LIGO/Virgo detections of binary black hole mergers marked a watershed moment in astronomy, ushering in the era of precision tests of Kerr dynamics as discussed by the authors.