Multi Shell Model for Majumdar-Papapetrau Spacetimes

TL;DR

This paper constructs exact Einstein-Maxwell solutions with charged dust on thin shells, removing singularities in multi-black hole spacetimes, and provides explicit double shell examples with density calculations.

Contribution

It introduces a method to eliminate singularities in Majumdar-Papapetrou solutions by embedding matter on thin shells, offering new explicit solutions.

Findings

Singularity removal in multi-black hole solutions

Explicit double shell solutions with density profiles

Method for constructing regular Einstein-Maxwell spacetimes

Abstract

Exact solutions to static and non-static Einstein-Maxwell equations in the presence of extremely charged dust embedded on thin shells are constructed. Singularities of multi-black hole Majumdar-Papapetrou and Kastor-Trashen solutions are removed by placing the matter on thin shells. Double spherical thin shell solution is given as an illustration and the matter densitiies on the shells are derived.