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 $t,\rho ,z,\phi$. 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 ($\rho =0$). Our analysis shows, beside other things that there are regions inaccessible to all null geodesics.

8 pages 3 figures, major revision

References in corpus (2)

• A new look at the Plebanski-Demianski family of solutions
• Bertotti-Robinson and Melvin Spacetimes

Cited by in corpus (7)

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• Static and Dynamic Melvin Universes
• Uniqueness of dark matter magnetized static black hole spacetime
• Interpolating the Schwarzschild and de-Sitter metrics