Dynamical Black Holes in the Inflationary Epoch
Milos Ertola Urtubey
In general relativity, black holes are most commonly described by stationary geometries, such as Schwarzschild and Kerr spacetimes. These represent isolated objects in asymptotically flat backgrounds. These solutions, however, neglect the effects of cosmological expansion, which could be significant for black holes formed in the early universe. Dynamical black hole spacetimes coupled to cosmological backgrounds provide a framework through which this issue can be addressed. In this talk, I discuss how black holes evolve during the inflationary epoch, assuming they are dynamically coupled to the cosmological expansion via a generalised McVittie geometry. The combined effects of cosmological coupling, Hawking evaporation and radiation accretion during the subsequent cosmic eras (inflation, radiation, matter and dark energy) are analysed. Requiring the black hole event horizon to remain smaller than the particle horizon at all times yields an upper bound on the mass parameter. Radiation accretion during the radiation era further constrains the parameter space to prevent runaway growth, while Hawking evaporation sets a lower bound on the initial mass to ensure survival through inflation. These findings suggest that only black holes formed within a specific initial mass range during inflation can persist to the present day, achieving a maximum mass of ~ 0.001043 Solar masses.
Location: Spořilov, seminar room