Cosmologically inspired Kastor-Traschen solution
arXiv:1307.7508 · doi:10.1103/PhysRevD.89.084024
Abstract
Kastor-Traschen (KT) type solution in a cosmological set up is studied in this article. We examine a hybrid of a KT metric and a Friedmann-Robertson-Walker-Lemaitre (FRWL) solution. The problem is treated in a general number of dimensions D>=4 and we include the cosmological constant Lambda parameter into the Einstein-Maxwell equations. The matter source consists of two fluids - charged dust and neutral fluid with non-vanishing pressure. The equations of motion for the fluid and electromagnetic (EM) field are written down and an exact solution generalising extremely charged Reissner-Nordström black hole to arbitrary spatial curvature parameter is presented. We examine metric and curvature scalars singularities, trapped horizons as well as energy conditions.
Treatment of energy conditions extended, Misner-Sharp mass added, more detailed discussion of trapped horizons and surfaces