https://doi.org/10.1140/epjp/i2014-14230-0
Regular Article
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
* e-mail: oyvind.gron@hioa.no
Received:
14
August
2013
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