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
Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation
Leor Barack,Carlos O. Lousto +1 more
TL;DR: In this article, the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge is reformulated in the form of tensor-harmonic models.
Journal ArticleDOI
Simulations of unequal-mass black hole binaries with spectral methods
TL;DR: In this article, a pseudospectral root-finding procedure was proposed to ensure the initial data had the desired masses and spins, and the dual coordinate frame method and eccentricity removal were extended to asymmetric binaries.
Journal ArticleDOI
Exploring New Physics Frontiers Through Numerical Relativity
TL;DR: In this article, the authors review techniques for solving Einstein's equations in generic spacetimes, focusing on fully nonlinear evolutions but also on how to benchmark those results with perturbative approaches.
Proceedings ArticleDOI
The black hole stability problem for linear scalar perturbations
TL;DR: In this paper, a review of the recent work on linear stability for scalar perturbations of Kerr spacetimes is presented, where the essential elements of a proof of definitive decay bounds for solutions of the scalar wave equation are presented.
Journal ArticleDOI
Perturbation Theory in Lemaitre-Tolman-Bondi Cosmology
TL;DR: In this paper, it is shown that scalar, vector and tensor perturbations interact, and that the natural gauge invariant variables in Lema?tre-tre-Tolman-Bondi cosmology do not correspond straightforwardly to the usual Bardeen variables, in the limit of spatial homogeneity.