Cosmologically inspired Kastor-Traschen solution
Martin \v{C}erm\'ak, Martin Zouhar

TL;DR
This paper explores a cosmologically inspired Kastor-Traschen solution in higher dimensions, combining charged dust and neutral fluids within Einstein-Maxwell equations, revealing exact solutions and analyzing their singularities and horizons.
Contribution
It introduces a generalized KT solution incorporating a cosmological constant and multiple fluids, extending previous models to higher dimensions and arbitrary spatial curvature.
Findings
Derived exact solutions for charged and neutral fluids in a cosmological setting.
Analyzed singularities, horizons, and energy conditions of the solutions.
Extended the KT solution to arbitrary dimensions and included a cosmological constant.
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-Nordstr\"{o}m black hole to arbitrary spatial curvature parameter is presented. We examine metric and curvature scalars singularities, trapped horizons as well as energy conditions.
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