A Rotating, Inhomogeneous Dust Interior for the BTZ Black Hole

Details A Rotating, Inhomogeneous Dust Interior for the BTZ Black Hole A Rotating, Inhomogeneous Dust Interior for the BTZ Black Hole

2008-05-13

arxiv.org/abs/0805.1908v1

Phys.Rev.D78:024038,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figures

Scientific paper

10.1103/PhysRevD.78.024038

We present exact solutions describing rotating, inhomogeneous dust with generic initial data in 2+1 dimensional AdS spacetime 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 (LTB) 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.

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