Gravitational Collapse with a Cosmological Constant

Abstract

We consider the effect of a positive cosmological constant on spherical gravitational collapse to a black hole for a few simple, analytic cases. We construct the complete Oppenheimer-Snyder-deSitter (OSdS) spacetime, the generalization of the Oppenheimer-Snyder solution for collapse from rest of a homogeneous dust ball in an exterior vacuum. In OSdS collapse, the cosmological constant may affect the onset of collapse and decelerate the implosion initially, but it plays a diminishing role as the collapse proceeds. We also construct spacetimes in which a collapsing dust ball can bounce, or hover in unstable equilibrium, due to the repulsive force of the cosmological constant. We explore the causal structure of the different spacetimes and identify any cosmological and black hole event horizons which may be present.

7 pages, 10 figures; To appear in Phys. Rev. D

References in corpus (2)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Evidence for a Positive Cosmological Constant from Flows of Galaxies and Distant Supernovae

Cited by in corpus (34)

• Asymptotics with a positive cosmological constant: I. Basic framework
• Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
• Gravitational Collapse of Dust with a Cosmological Constant
• Gravitational Perfect Fluid Collapse With Cosmological Constant
• Gravitational Collapse and Cosmological Constant
• Implications of a positive cosmological constant for general relativity
• Effects of Electromagnetic Field on Gravitational Collapse
• Gravitational collapse in asymptotically Anti-de Sitter/de Sitter backgrounds
• Gravitational Collapse: Expanding and Collapsing Regions
• Gravitational Charged Perfect Fluid Collapse in Friedmann Universe Models
• Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
• Naked singularities in Tolman-Bondi-de Sitter collapse
• The relation between general relativity and a class of Hořava gravity theories
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Spherically Symmetric Gravitational Collapse
• Is gravitational collapse possible in $f(R)$ gravity?
• On the global structure of Kerr-de Sitter spacetimes
• Higher dimensional dust collapse with a cosmological constant
• Strong curvature singularities in quasispherical asymptotically de Sitter dust collapse
• Naked Singularities in the Charged Vaidya-deSitter Spacetime
• Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity
• The Entropy of the Microwave Background and the Acceleration of the Universe
• On the behavior of causal geodesics on a Kerr-de Sitter spacetime
• Gravitational collapse of anisotropic stars
• Lorentz violation with an invariant minimum speed as foundation of the Gravitational Bose Einstein Condensate of a Dark Energy Star
• Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter
• Gravothermal Phase Transition, Black Holes and Space Dimensionality
• Quantum Oppenheimer-Snyder models in loop quantum cosmology with Lorentz term
• Gravitational Collapse: Generalizing Oppenheimer-Snyder and a Conjecture on Horizon Formation Time
• Gravitational collapse and odd-parity black hole perturbations in Minimal Theory of Bigravity
• Gravitational collapse of spherical shells of fluid in the isotropic homogeneous universe
• An analytic model for gravitational collapse of spherical matter under mixed pressure
• Compact Object with a Local Dark Energy Shell
• Connection between Symmetrical Special Relativity and the Gravitational Bose Einstein Condensate of a Gravastar/Dark Energy Star: Are there singularities in spacetime like black holes?