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arxiv: gr-qc/9608058 · v1 · submitted 1996-08-23 · 🌀 gr-qc

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Taub's plane-symmetric vacuum spacetime revisited

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classification 🌀 gr-qc
keywords fieldsolutioncosmologicalgravitationalplane-symmetricpropertiesresultssome
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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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  1. Static plane symmetric solutions in $f(Q)$ gravity

    gr-qc 2025-12 unverdicted novelty 5.0

    f(Q) gravity yields Taub-de Sitter-like plane symmetric vacuum solutions, and quadratic models support isotropic slabs where maximum pressure is offset from the center with thickness and pressure increasing for negative α.