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Spherically Symmetric Dynamical Horizons (2006)
| Venue: | Class. Quantum Grav |
| Citations: | 4 - 0 self |
BibTeX
@ARTICLE{Bartnik06sphericallysymmetric,
author = {Robert Bartnik and James Isenberg},
title = {Spherically Symmetric Dynamical Horizons},
journal = {Class. Quantum Grav},
year = {2006}
}
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Abstract
We study spherically symmetric dynamical horizons (SSDH) in spherically symmetric Einstein/matter spacetimes. We first determine sufficient and necessary conditions for an initial data set for the gravitational and matter fields to satisfy the dynamical horizon condition in the spacetime development. The constraint equations reduce to a single second order linear “master ” equation, which leads to a systematic construction of all SSDH initial data sets with certain boundedness conditions. Turning from construction to existence, we find necessary and sufficient conditions for a given spherically symmetric spacetime to contain a SSDH.
Keyphrases
symmetric dynamical horizon constraint equation sufficient condition necessary condition systematic construction symmetric einstein matter spacetimes dynamical horizon condition certain boundedness condition matter field symmetric spacetime initial data set spacetime development ssdh initial data set
