Role of angular momentum and cosmic censorship in (2+1)-dimensional rotating shell collapse

Journal Article · Sun Mar 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.064005· OSTI ID:21260156

Mann, Robert B ^[1]; Oh, John J ^[2]; Park, Mu-In ^[3]

---

1. Department of Physics and Astronomy, University of Waterloo, Waterloo , Ontario, N2L 3G1 (Canada)
2. Division of Interdisciplinary Mathematics, National Institute for Mathematical Sciences, Daejeon , 304-350 (Korea, Republic of)
3. Research Institute of Physics and Chemistry, Chonbuk National University, Chonju, 561-756 (Korea, Republic of)

We study the gravitational collapse problem of rotating shells in three-dimensional Einstein gravity with and without a cosmological constant. Taking the exterior and interior metrics to be those of stationary metrics with asymptotically constant curvature, we solve the equations of motion for the shells from the Darmois-Israel junction conditions in the corotating frame. We study various collapse scenarios with arbitrary angular momentum for a variety of geometric configurations, including anti-de Sitter, de Sitter, and flat spaces. We find that the collapsing shells can form a BTZ black hole, a three-dimensional Kerr-dS spacetime, and an horizonless geometry of point masses under certain initial conditions. For pressureless dust shells, the curvature singularity is not formed due to the angular momentum barrier near the origin. However when the shell pressure is nonvanishing, we find that for all types of shells with polytropic-type equations of state (including the perfect fluid and the generalized Chaplygin gas), collapse to a naked singularity is possible under generic initial conditions. We conclude that in three dimensions angular momentum does not in general guard against violation of cosmic censorship.

• OSTI ID: 21260156
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BLACK HOLES
CONFIGURATION
COSMOLOGICAL CONSTANT
DE SITTER GROUP
EQUATIONS OF MOTION
EQUATIONS OF STATE
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL COLLAPSE
IDEAL FLOW
KERR METRIC
MASS
METRICS
ONE-DIMENSIONAL CALCULATIONS
SINGULARITY
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS