Black Hole solutions in a cosmological spacetime background

Abstract

We propose and analyze a new metric that has two conformal factors a(t) and b(t) that combine the expansion of the universe and its effects on the spatial and temporal part of the Schwarzschild metric in isotropic coordinates. We present the solutions, their descriptions and we comment on their shortcomings. In the spatially flat case of an expanding universe, we derive from the proposed metric the special solutions of the field equations for the dust approximation and the McVittie metric. We show that the presence of a black hole does not modify the a(t) proportional to t^{2/3} law for dust and H=constant for dark energy.

4 pages

References in corpus (6)

• Cosmological expansion and local physics
• McVittie's Legacy: Black Holes in an Expanding Universe
• How the expansion of the universe determines the causal structure of McVittie spacetimes
• Black-hole solution without curvature singularity
• Can an evolving Universe host a static event horizon?
• Quantization of Black Holes entropy and its cosmological consequences

Cited by in corpus (1)

• Nonstatic Reissner-Nordström metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation