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Static plane symmetric relativistic fluids and empty repelling singular boundaries

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abstract

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.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

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Static plane symmetric solutions in $f(Q)$ gravity

gr-qc · 2025-12-22 · 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.

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  • Static plane symmetric solutions in $f(Q)$ gravity gr-qc · 2025-12-22 · unverdicted · none · ref 40 · internal anchor

    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.