Rotating, inhomogeneous dust interior for the BTZ black hole

Journal Article · Tue Jul 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.024038· OSTI ID:21250388

Vaz, Cenalo; Koehler, K R ^[1]

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1. RWC and Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011 (United States)

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.

• OSTI ID: 21250388
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 2; Other Information: DOI: 10.1103/PhysRevD.78.024038; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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