논문
Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
- 저자오정근,오정근
- 학술지PHYS REV D 79
- 등재유형
- 게재일자(2009)
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 co-rotating 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.
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 co-rotating 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.
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 co-rotating 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.
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 co-rotating 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.
