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arXiv · 1211.6983

Unified Bertotti-Robinson and Melvin Spacetimes

M. Halilsoy·S. Habib Mazharimousavi
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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.

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M. Halilsoy, S. Habib Mazharimousavi. 2013-08-14. Unified Bertotti-Robinson and Melvin Spacetimes. https://doi.org/10.1103/physrevd.88.064021

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