Rotating, inhomogeneous dust interior for the BTZ black hole
Abstract
We present exact solutions describing rotating, inhomogeneous dust with generic initial data in 2+1 dimensional antide Sitter spacetime and show how they are smoothly matched to the BanadosTeitelboimZanelli (BTZ) solution in the exterior. The metrics, which are the rotational analogues of the 2+1 dimensional LeMaitreTolmanBondi family, are described by their angular momentum and one additional constant which, together with the angular momentum, determines the energy density of the dust cloud. The weak energy condition gives a constraint on the angular momentum profile inside the cloud. Solutions can be stationary or time dependent, but only the timedependent solutions can be matched consistently to a BTZ exterior. No singularity is formed in either the stationary or the timedependent cases.
 Authors:

 RWC and Department of Physics, University of Cincinnati, Cincinnati, Ohio 452210011 (United States)
 Publication Date:
 OSTI Identifier:
 21250388
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 78; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.78.024038; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ANGULAR MOMENTUM; BLACK HOLES; COSMIC DUST; DE SITTER GROUP; ENERGY DENSITY; EXACT SOLUTIONS; METRICS; ONEDIMENSIONAL CALCULATIONS; ROTATION; SINGULARITY; THREEDIMENSIONAL CALCULATIONS; TIME DEPENDENCE
Citation Formats
Vaz, Cenalo, and Koehler, K R. Rotating, inhomogeneous dust interior for the BTZ black hole. United States: N. p., 2008.
Web. doi:10.1103/PHYSREVD.78.024038.
Vaz, Cenalo, & Koehler, K R. Rotating, inhomogeneous dust interior for the BTZ black hole. United States. doi:10.1103/PHYSREVD.78.024038.
Vaz, Cenalo, and Koehler, K R. Tue .
"Rotating, inhomogeneous dust interior for the BTZ black hole". United States. doi:10.1103/PHYSREVD.78.024038.
@article{osti_21250388,
title = {Rotating, inhomogeneous dust interior for the BTZ black hole},
author = {Vaz, Cenalo and Koehler, K R},
abstractNote = {We present exact solutions describing rotating, inhomogeneous dust with generic initial data in 2+1 dimensional antide Sitter spacetime and show how they are smoothly matched to the BanadosTeitelboimZanelli (BTZ) solution in the exterior. The metrics, which are the rotational analogues of the 2+1 dimensional LeMaitreTolmanBondi family, are described by their angular momentum and one additional constant which, together with the angular momentum, determines the energy density of the dust cloud. The weak energy condition gives a constraint on the angular momentum profile inside the cloud. Solutions can be stationary or time dependent, but only the timedependent solutions can be matched consistently to a BTZ exterior. No singularity is formed in either the stationary or the timedependent cases.},
doi = {10.1103/PHYSREVD.78.024038},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 2,
volume = 78,
place = {United States},
year = {2008},
month = {7}
}