A 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 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.

16 pages, no figures

References in corpus (24)

• Geometry of the 2+1 Black Hole
• Black Hole Entropy from Near-Horizon Microstates
• Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
• Dimensionally Continued Black Holes
• Critical phenomena in gravitational collapse (Physics Reports)
• Gravitationally Collapsing Dust in $(2+1)$ Dimensions
• Exact solutions for null fluid collapse
• Gravitational collapse in 2+1 dimensional AdS spacetime
• Initial data and the end state of spherically symmetric gravitational collapse
• On the Occurrence of Naked Singularity in Spherically Symmetric Gravitational Collapse
• Geodesic Structure of the 2 + 1 Black Hole
• The final fate of spherical inhomogeneous dust collapse II: Initial data and causal structure of singularity
• Collapse of a Scalar Field in 2+1 Gravity
• Initial Data and the Final Fate of Inhomogeneous Dust Collapse
• Mass Spectrum and Statistical Entropy of the BTZ black hole from Canonical Quantum Gravity
• Black holes vs. naked singularities formation in collapsing Einstein's clusters
• On the global visibility of singularity in quasi-spherical collapse
• Interior Structure of a Charged Spinning Black Hole in $(2+1)$-Dimensions
• Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
• Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
• Black hole solutions in 2+1 dimensions
• Wilson Loops and Black Holes in 2+1 Dimensions
• Solution generating with perfect fluids
• Null Geodesic Expansion in Spherical Gravitational Collapse

Cited by in corpus (6)

• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Collapsing thin shells with rotation
• Gravitational collapse with rotating thin shells and cosmic censorship
• Scanning the parameter space of collapsing rotating thin shells
• Canonical Chern-Simons Gravity
• The two-body problem in 2+1 spacetime dimensions with negative cosmological constant: two point particles