Analysis of the Sultana-Dyer cosmological black hole solution of the Einstein equations

2009/07/26 by Valerio Faraoni · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.80.044013

published as Phys.Rev.D80:044013,2009 · 7 pages, revtex, 1 figure, to appear in Phys. Rev. D

arxiv created 2009/07/26 · openalex publication_date 2009/08/17 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Sultana-Dyer solution of general relativity representing a black hole embedded in a special cosmological background is analyzed. We find an expanding (weak) spacetime singularity instead of the reported conformal Killing horizon, which is covered by an expanding black hole apparent horizon (internal to a cosmological apparent horizon) for most of the history of the Universe. This singularity was naked early on. The global structure of the solution is studied as well.

Citations

• Extended theories of gravity and their cosmological and astrophysical applications
• The generalized second law in phantom dominated universes in the presence of black holes
• Noether charge and black hole entropy in modified theories of gravity
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
• Particle creation by black holes
• The Mass-Particle in an Expanding Universe
• Generalized second law and phantom cosmology

Cited by

• Generalization of McVittie’s model for an inhomogeneity in a cosmological spacetime
• Clifton's spherical solution in f ( R ) vacuum harbours a naked singularity
• Hawking radiation and thermodynamics of dynamical black holes in a phantom-dominated universe

Related

• Naked Singularity in the Sultana-Dyer Space-Time
• Cosmological Black hole Candidates: A Detailed Analysis of McVittie, Culetu, Sultana-Dyer, and Glass-Mashhoon Spacetimes
• Dynamical Black Hole in the accelerating Universe approaching the future singularity -- Possible origin of (super-)massive black holes
• Conformal cosmological black holes: restoring determinism to Einstein theory
• De Sitter-Invariant Black Holes