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Stability of spherically symmetric timelike thin-shells in general relativity with a variable equation of state

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arxiv 1708.04588 v1 pith:B6DPXDAS submitted 2017-08-03 gr-qc

Stability of spherically symmetric timelike thin-shells in general relativity with a variable equation of state

classification gr-qc
keywords equationfluidspacetimesphericallystatesymmetricthin-shellstimelike
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We study spherically symmetric timelike thin-shells in $3+1-$dimensional bulk spacetime with a variable equation of state for the fluid presented on the shell. In such a fluid the angular pressure $p$ is a function of both surface energy density $\sigma $ and the radius $R$ of the thin-shell. Explicit cases of the thin shells connecting two non-identical cloud of strings spacetimes and a flat Minkowski spacetime to the Schwarzschild metric are investigated.

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Cited by 1 Pith paper

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  1. Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows

    gr-qc 2026-02 conditional novelty 5.0

    Stable static dark-fluid shells separating two Schwarzschild–de Sitter spacetimes exist only for m_+/m_->1 and arise at three scales, imprinting observable black-hole shadow deviations.