📝 SummarXiv

Abstract

New time-dependent metric tensors with spherical symmetry satisfying the Einstein-Maxwell equations in space-times with FLRW asymptotic behaviour are derived here for the first time. These geometries describe dynamical charged non-rotating black holes hosted by the perfect fluid of the asymptotic FLRW space-times. Their gravitational sources are the stress-energy tensors formed by a contribution of the perfect fluid and an electromagnetic one due to the Coulomb field produced by the time-dependent black-hole charge in the asymptotic FLRW background. The dynamics of these models is determined by the dynamical mass, which may be an arbitrary function of time, and two arbitrary real-valued parameters. The first one simulates the effect of a cosmological constant as in our $\kappa$-models we proposed recently [I. I. Cotaescu, Eur. Phys. J. C (2024) 84:819]. The second parameter relates surprisingly the dynamical black hole charge to the cubic root of the mass function. The role of these parameters is investigated analyzing simple examples of dynamical charged black holes in the matter-dominated universe.