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
The wave equation on the Schwarzschild metric II. Local decay for the spin-2 Regge–Wheeler equation
Pieter Blue,Avy Soffer +1 more
TL;DR: In this paper, it was shown that the weighted norms of solutions are in L 2 of time and space and applied uniformly to all relevant spherical harmonics, using commutator methods.
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Effective Field Theory of Black Hole Quasinormal Modes in Scalar-Tensor Theories
TL;DR: In this paper, the authors introduce an effective description for perturbations around spherically symmetric spacetimes in the context of scalar-tensor theories, which they apply to study quasi-normal modes for black holes with scalar hair.
Journal ArticleDOI
Multipole expansions for energy and momenta carried by gravitational waves
TL;DR: In this article, the energy, linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spin-weighted spherical harmonics decomposition of the Weyl scalar was derived.
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Connection between the shadow radius and quasinormal modes in rotating spacetimes
TL;DR: In this paper, a geometric-optics correspondence between the parameters of a quasinormal mode and the conserved quantities along geodesics is proposed to calculate the typical shadow radius for asymptotically flat and rotating black holes when viewed from the equatorial plane.
Journal ArticleDOI
Exact gravitational quasinormal frequencies of topological black holes
Danny Birmingham,Susan Mokhtari +1 more
TL;DR: In this article, the exact gravitational quasinormal frequencies for massless topological black holes in $d$-dimensional anti-de Sitter space were derived using the gauge invariant formalism for gravitational perturbations derived by Kodama and Ishibashi.