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arxiv: 0712.2831 · v1 · submitted 2007-12-18 · 🌀 gr-qc

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Static plane symmetric relativistic fluids and empty repelling singular boundaries

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classification 🌀 gr-qc
keywords geodesicsmatterplanerepellingsingularstaticsymmetricanalysis
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We present a detailed analysis of the general exact solution of Einstein's equation corresponding to a static and plane symmetric distribution of matter with density proportional to pressure. We study the geodesics in it and we show that this simple spacetime exhibits very curious properties. In particular, it has a free of matter repelling singular boundary and all geodesics bounce off it.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  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.