Electromagnetic Mass in $(n+2)$ Dimensional Space-times

TL;DR

This paper derives solutions to Einstein-Maxwell equations in higher-dimensional static spherically symmetric space-times, exploring electromagnetic mass models where gravitational mass depends on charge density, with implications for flat space-time conditions.

Contribution

It provides new exact solutions under specific conditions in higher dimensions, linking electromagnetic charge to gravitational mass and space-time flatness.

Findings

Solutions satisfy electromagnetic mass criteria

Gravitational mass vanishes with zero charge density

Space-time becomes flat when charge density is zero

Abstract

Einstein-Maxwell field equations correspoding to higher dimensional description of static spherically symmetric space-time have been solved under two specific set of conditions, viz., (i) $\rho \ne 0$, $\nu^\prime= 0$ and (ii) $\rho=0$, $ \nu^\prime\ne 0$ where $\rho$ and $\nu$ represent the mass density and metric potential. The solution sets thus obtained satisfy the criteria of being electromagnetic mass model such that the gravitational mass vanishes for the vanishing charge density $\sigma$ and also the space-time becomes flat. Physical features related to other parameters also have been discussed.