A point mass in an isotropic universe: III. The region Rleq 2 m

1999/07/05 by Brien C. Nolan, Brien C Nolan · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #gr-qc

paper · pdf · doi:10.1088/0264-9381/16/10/310

published as Class.Quant.Grav. 16 (1999) 3183-3191 · Revtex, 11pp. To appear in Class.Quant.Grav. Paper II appeared as Class. Quant. Grav. 16 (1999) 1227

arxiv created 1999/07/05 · openalex publication_date 1999/08/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

McVittie's solution of Einstein's field equations, representing a point mass embedded in an isotropic universe, possesses a scalar curvature singularity at proper radius R = 2 m . The singularity is spacelike and precedes, in the expanding case, all other events in the spacetime. It is shown here that this singularity is gravitationally weak, and the possible structure of the region R 2 m is investigated. A characterization of this solution which does not involve asymptotics is given.

Citations

• The Mass-Particle in an Expanding Universe

Cited by

• McVittie’s legacy: Black holes in an expanding universe
• Black hole in asymmetric cosmological bounce
• Axially symmetric equilibrium regions of Friedmann–Lemaître–Robertson–Walker universes
• Maximum force and cosmic censorship
• Hawking radiation and thermodynamics of dynamical black holes in a phantom-dominated universe
• Direct detection of universal expansion by holonomy in the McVittie spacetime
• Influence of global cosmological expansion on local dynamics and kinematics