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Title: 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 anti-de Sitter space-time and show how they are smoothly matched to the Banados-Teitelboim-Zanelli (BTZ) solution in the exterior. The metrics, which are the rotational analogues of the 2+1 dimensional LeMaitre-Tolman-Bondi 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 time-dependent solutions can be matched consistently to a BTZ exterior. No singularity is formed in either the stationary or the time-dependent cases.

Authors:
;  [1]
  1. RWC and Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011 (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 0556-2821
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; ONE-DIMENSIONAL CALCULATIONS; ROTATION; SINGULARITY; THREE-DIMENSIONAL 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 anti-de Sitter space-time and show how they are smoothly matched to the Banados-Teitelboim-Zanelli (BTZ) solution in the exterior. The metrics, which are the rotational analogues of the 2+1 dimensional LeMaitre-Tolman-Bondi 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 time-dependent solutions can be matched consistently to a BTZ exterior. No singularity is formed in either the stationary or the time-dependent cases.},
doi = {10.1103/PHYSREVD.78.024038},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 78,
place = {United States},
year = {2008},
month = {7}
}