Black Hole in a Radiation-Dominated Universe

Understand

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.