Cosmologically inspired Kastor-Traschen solution

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.