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arxiv: 0905.0896 · v1 · submitted 2009-05-07 · 🌀 gr-qc

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The Gravitational Field of a Plane Slab

Ricardo E. Gamboa Saravi
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classification 🌀 gr-qc
keywords planebelowconstantcorrespondingdensitydiscussdistributioneinstein
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We discuss the exact solution of Einstein's equation corresponding to a static and plane symmetric distribution of matter with constant positive density located below $z=0$ matched to vacuum solutions.

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Cited by 1 Pith paper

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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.