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
Characteristic Evolution and Matching
TL;DR: The development of numerical evolution codes for general relativity based upon the characteristic initial-value problem is reviewed and the ultimate application of characteristic evolution is to eliminate the role of this outer boundary by constructing a global solution via Cauchy-characteristic matching.
Journal ArticleDOI
Stability of Black Holes and Black Branes
Stefan Hollands,Robert M. Wald +1 more
TL;DR: In this article, a new criterion for the dynamical stability of black holes in D ≥ 4 spacetime dimensions in general relativity with respect to axisymmetric perturbations is established: Dynamical stability is equivalent to the positivity of the canonical energy.
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The Phase Transition between Caged Black Holes and Black Strings - A Review
TL;DR: In this article, a full phase diagram was determined numerically, confirming earlier predictions for a merger of the black-hole and black string phases and giving very strong evidence that the end-state of the Gregory-Laflamme instability is a black hole (in the dimension range 4
Journal ArticleDOI
Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
Yi Pan,Alessandra Buonanno,Alessandra Buonanno,Michael Boyle,Luisa T. Buchman,Lawrence E. Kidder,Harald P. Pfeiffer,Mark A. Scheel +7 more
TL;DR: In this article, an effective-one-body (EOB) model is calibrated to numerical-relativity simulations of mass ratios 1, 2, 3, 4, and 6, by maximizing phase and amplitude agreement of the leading (2, 2) mode and of the subleading modes ( 2, 1), (3, 3), (4, 4) and (5, 5).
Journal ArticleDOI
The phase transition between caged black holes and black strings
TL;DR: In this paper, a full phase diagram was determined numerically, confirming earlier predictions for a merger of the black-hole and black-string phases and giving very strong evidence that the end-state of the Gregory-Laflamme instability is a black hole (in the dimension range 5 ⩽ D ⌽ 13 ).