Time-asymmetric initial data for n black holes

2006 ◽  
pp. 143-153
Author(s):  
Anil D. Kulkarni
Keyword(s):  
Black Holes ◽  
Initial Data

scholarly journals New conformally flat initial data for spinning black holes

2002 ◽  
Vol 65 (10) ◽  
Author(s):  
Sergio Dain ◽  
Carlos O. Lousto ◽  
Ryoji Takahashi
Keyword(s):  
Black Holes ◽  
Initial Data ◽  
Conformally Flat

scholarly journals Initial data for perturbed Kerr black holes on hyperboloidal slices

2014 ◽  
Vol 31 (16) ◽  
pp. 165001 ◽  
Author(s):  
David Schinkel ◽  
Rodrigo Panosso Macedo ◽  
Marcus Ansorg
Keyword(s):  
Black Holes ◽  
Initial Data ◽  
Kerr Black Holes

scholarly journals Close limit evolution of Kerr-Schild type initial data for binary black holes

2002 ◽  
Vol 65 (6) ◽  
Author(s):  
Olivier Sarbach ◽  
Manuel Tiglio ◽  
Jorge Pullin
Keyword(s):  
Black Holes ◽  
Initial Data ◽  
Binary Black Holes

scholarly journals GENERICITY ASPECTS IN GRAVITATIONAL COLLAPSE TO BLACK HOLES AND NAKED SINGULARITIES

2012 ◽  
Vol 21 (08) ◽  
pp. 1250066 ◽  
Author(s):  
PANKAJ S. JOSHI ◽  
DANIELE MALAFARINA ◽  
RAVINDRA V. SARAYKAR
Keyword(s):  
Black Holes ◽  
Initial Data ◽  
Gravitational Collapse ◽  
Naked Singularity ◽  
Matter Field ◽  
Einstein Equations ◽  
Type I ◽  
Naked Singularities ◽  
Physical Conditions ◽  
Perfect Fluids

Here we investigate the genericity and stability aspects for naked singularities and black holes that arise as the final states for a complete gravitational collapse of a spherical massive matter cloud. The form of the matter considered is a general Type I matter field, which includes most of the physically reasonable matter fields such as dust, perfect fluids and such other physically interesting forms of matter widely used in gravitation theory. Here, we first study in some detail the effects of small pressure perturbations in an otherwise pressure-free collapse scenario, and examine how a collapse evolution that was going to the black hole endstate would be modified and go to a naked singularity, once small pressures are introduced in the initial data. This allows us to understand the distribution of black holes and naked singularities in the initial data space. Collapse is examined in terms of the evolutions allowed by Einstein equations, under suitable physical conditions and as evolving from a regular initial data. We then show that both black holes and naked singularities are generic outcomes of a complete collapse, when genericity is defined in a suitable sense in an appropriate space.

Three-dimensional initial data for the collision of two black holes

1993 ◽  
Vol 47 (4) ◽  
pp. 1471-1490 ◽  
Author(s):  
Gregory B. Cook ◽  
Matthew W. Choptuik ◽  
Mark R. Dubal ◽  
Scott Klasky ◽  
Richard A. Matzner ◽  
...  
Keyword(s):  
Black Holes ◽  
Initial Data ◽  
Three Dimensional

The internal evolution of black holes

1994 ◽  
Vol 72 (11-12) ◽  
pp. 755-759 ◽  
Author(s):  
Alfio Bonanno ◽  
Serge Droz ◽  
Werner Israel ◽  
Sharon Morsink
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Initial Data ◽  
Progress Report ◽  
Inner Horizon ◽  
Evolutionary Problem ◽  
Open Questions ◽  
Physical Laws ◽  
Internal Evolution

Determining the inner structure of a black hole is really an evolutionary problem, with precisely known initial data. The evolution can in principle be followed to within Planck distances of the singularity at the inner horizon, using only well-established physical laws. This article is a progress report and a review of open questions.

scholarly journals Existence of initial data containing isolated black holes

2005 ◽  
Vol 71 (6) ◽  
Author(s):  
Sergio Dain ◽  
José Luis Jaramillo ◽  
Badri Krishnan
Keyword(s):  
Black Holes ◽  
Initial Data

scholarly journals Trumpet-puncture initial data for black holes

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
Jason D. Immerman ◽  
Thomas W. Baumgarte
Keyword(s):  
Black Holes ◽  
Initial Data

scholarly journals Black hole initial data by numerical integration of the parabolic–hyperbolic form of the constraints

2021 ◽  
Author(s):  
Anna Nakonieczna ◽  
Łukasz Nakonieczny ◽  
István Rácz
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Initial Data ◽  
Fourth Order ◽  
Main Part ◽  
Strong Field ◽  
Method Of Lines ◽  
Time Integration ◽  
The Method Of Lines ◽  
Hyperbolic Form

The parabolic–hyperbolic form of the constraints is integrated numerically. The applied numerical stencil is fourth-order accurate (in the spatial directions) while “time”-integration is made by using the method of lines with a fourth-order order accurate Runge–Kutta scheme. The proper implementation of the applied numerical method is verified by convergence tests and monitoring the relative and absolute errors is determined by comparing numerically and analytically known solutions of the constraints involving boosted and spinning vacuum single black hole configurations. The main part of our investigations is, however, centered on the construction of initial data for distorted black holes which, in certain cases, have non-negligible gravitational wave content. Remarkably, the applied new method is unprecedented in that it allows to construct initial data for highly boosted and spinning black holes, essentially for the full physical allowed ranges of these parameters. In addition, the use of the evolutionary form of the constraints is free from applying any sort of boundary conditions in the strong field regime.

scholarly journals Comparing initial-data sets for binary black holes

2002 ◽  
Vol 66 (2) ◽  
Author(s):  
Harald P. Pfeiffer ◽  
Gregory B. Cook ◽  
Saul A. Teukolsky
Keyword(s):  
Black Holes ◽  
Initial Data ◽  
Data Sets ◽  
Binary Black Holes
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