Generalizations of the Levi-Civita-Bertotti-Robinson spacetime
Oslo and Akershus University College of Applied Sciences, Faculty of Technology, Art and Design, P. O. Box 4 St. Olavs Plass, N-0130, Oslo, Norway
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Revised: 7 September 2014
Accepted: 11 September 2014
Published online: 22 October 2014
The Levi-Civita-Bertotti-Robinson (LBR) solution of Einstein's field equations may be interpreted to describe spacetime in a region without matter outside a charged spherical domain wall. In the present paper we investigate the physical properties of some solutions of the Einstein-Maxwell equations, and show that they are generalizations of the LBR solution. One represents a spacetime with charged dust outside a charged shell, and another one a spacetime with Lorentz-Invariant Vacuum Energy (LIVE) outside a charged shell. The uniqueness of static, spherically symmetric and conformally flat solutions of the Einstein-Maxwell field equations is also discussed.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014