Generating conjecture and Einstein-Maxwell field of plane symmetry
J. Fikar, J. Horsky
TL;DR
This paper derives exact Einstein-Maxwell solutions with plane symmetry, including a charged infinite thin plane, and analyzes their properties through analytical extension and Penrose diagrams.
Contribution
It presents new exact solutions for Einstein-Maxwell equations with plane symmetry, including a charged thin plane, and explores their global structure.
Findings
Found electro-vacuum solutions with plane symmetry
Established equivalence to McVittie solution for a charged plane
Constructed Penrose conformal diagram for the solutions
Abstract
For the plane symmetry we have found the electro-vacuum exact solutions of the Einstein-Maxwell equations and we have shown that one of them is equivalent to the McVittie solution of a charged infinite thin plane. The analytical extension has been accomplished and the Penrose conformal diagram has been obtained as well.
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