Plane symmetric analogue of NUT space

Abstract

In this article on the basis of a new definition of spacetime symmetry, which is in accordance with the symmetry of the curvature invariants, we investigate exact vacuum solutions of Einstein field equations corresponding to both static and stationary plane symmetric spacetimes using the concepts of the (1+3)-decomposition or threading formalism. Demanding the presence of a plane symmetric gravitomagnetic field we find a family of two parameter (m and l) solutions, every member of which being the plane symmetric analogue of NUT space.

16 pages, REVTex format, typos corrected,reference added and a conclusion corrected

References in corpus (1)

• The Many Faces of Gravitoelectromagnetism

Cited by in corpus (10)

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• Papapetrou field as the gravitoelectromagnetic field tensor in stationary spacetimes
• Static and stationary dark fluid universes: A gravitoelectromagnetic perspective
• A curious electrovac spacetime as $G=0$ limit of the NUT space