Generalizations of the Levi-Civita-Bertotti-Robinson spacetime
Journal article, Peer reviewed
This is a postprint version of a published article. original available at http://dx.doi.org/10.1140/epjp/i2014-14230-0
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OriginalversjonGrøn, Ø., & Johannesen, S. (2014). Generalizations of the Levi-Civita-Bertotti-Robinson spacetime. The European Physical Journal Plus, 129(10), 1-15. http://dx.doi.org/10.1140/epjp/i2014-14230-0
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.