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arxiv: 0804.2931 · v3 · submitted 2008-04-18 · 🌀 gr-qc · astro-ph· hep-th· math-ph· math.MP

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A new class of plane symmetric solution

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classification 🌀 gr-qc astro-phhep-thmath-phmath.MP
keywords solutionclassconditionsmetricplanesymmetricanalyzedclassical
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A new class of static plane symmetric solution of Einstein field equation generated by a perfect fluid source is put forward. A special family of this new solution is investigated in detail. The constraints on the parameters by different energy conditions are studied. The classical stability of this solution is discussed. The junction conditions matching to Minkowski metric and Taub metric are analyzed respectively.

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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.