Taub's plane-symmetric vacuum spacetime revisited

Details Taub's plane-symmetric vacuum spacetime revisited Taub's plane-symmetric vacuum spacetime revisited

1996-08-23

arxiv.org/abs/gr-qc/9608058v1

Phys.Rev. D55 (1997) 3431-3439

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

plain LaTex, four Postscript figures

Scientific paper

10.1103/PhysRevD.55.3431

The gravitational properties of the {\em only} static plane-symmetric vacuum solution of Einstein's field equations without cosmological term (Taub's solution, for brevity) are presented: some already known properties (geodesics, weak field limit and pertainment to the Schwarzschild family of spacetimes) are reviewed in a physically much more transparent way, as well as new results about its asymptotic structure, possible matchings and nature of the source are furnished. The main results point to the fact that the solution must be interpreted as representing the exterior gravitational field due to a {\em negative} mass distribution, confirming previous statements to that effect in the literature. Some analogies to Kasner's spatially homogeneous cosmological model are also referred to.

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