Black Hole in a Radiation-Dominated Universe

Abstract

We study a black hole in an expanding Universe during the radiation-dominated stage. In the case when the black hole radius is much smaller than the cosmological horizon, we present a solution of the Einstein equations for the metric, the matter density and velocity distributions. At distances much smaller than the cosmological horizon the solution features quasi-stationary accretion, while at large distances the solution asymptotes the homogeneous radiation dominated FLRW. We discuss how our solution is related to the McVittie solution. The obtained results can be applied, in particular, for the formation of dark matter density spikes around primordial black holes, and for the evolution of dark matter clumps during the radiation-dominated stage.

arXiv comment7 pages, 3 figures, minor corrections in the text with respect to the published version

References in corpus (14)

• Black hole mass decreasing due to phantom energy accretion
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• Cosmological expansion and local physics
• The Accretion of Dark Energy onto a Black Hole
• Curvature profiles as initial conditions for primordial black hole formation
• Black holes in the presence of dark energy
• Exact solution for scalar field collapse
• Dark Matter Density Spikes around Primordial Black Holes
• Time-dependent spherically symmetric covariant Galileons
• Turnaround radius in an accelerated universe with quasi-local mass
• Backreaction of accreting matter onto a black hole in the Eddington-Finkelstein coordinates
• Can a primordial black hole or wormhole grow as fast as the universe?
• Time dependent black holes and scalar hair
• Self-consistent initial conditions for primordial black hole formation

Cited by in corpus (8)

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• Dark matter around primordial black hole at the radiation-dominated stage
• Catastrophic fate of Schwarzschild black holes in a thermal bath
• Evolution of the DM distribution function in the density spikes around PBHs
• Cosmological black holes are not described by the Thakurta metric: LIGO-Virgo bounds on PBHs remain unchanged
• Magnetized dynamical black holes
• Dynamical axisymmetric compact objects in General Relativity