Unified Bertotti-Robinson and Melvin Spacetimes

Abstract

We present a solution for the Einstein-Maxwell (EM) equations which unifies both the magnetic Bertotti-Robinson (BR) and Melvin (ML) solutions as a single metric in the axially symmetric coordinates ${t,ρ,z,φ} $. Depending on the strength of magnetic field the spacetime manifold, unlike the cases of separate BR and ML spacetime, develops singularity on the symmetry axis ($ρ=0$). Our analysis shows, beside other things that there are regions inaccessible to all null geodesics.

8 pages 3 figures, major revision