On the sources of static plane symmetric vacuum space-times

Details On the sources of static plane symmetric vacuum space-times On the sources of static plane symmetric vacuum space-times

1997-06-23

arxiv.org/abs/gr-qc/9706071v1

Phys.Lett.A244:462-466,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1016/S0375-9601(98)00355-7

The static vacuum plane spacetimes are considered, which have two non-trivial solutions: The Taub solution and the Rindler solution. Imposed reflection symmetry, we find that the source for the Taub solution does not satisfy any energy conditions, which is consistent with previous studies, while the source for the Rindler solution satisfies the weak and strong energy conditions (but not the dominant one). It is argued that the counterpart of the Einstein theory to the gravitational field of a massive Newtonian plane should be described by the Rindler solution, which represents also a uniform gravitational field.

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