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Singular shell embedded into a cosmological model

Oyvind Gron·Peter D. Rippis
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Abstract

We generalize Israel's formalism to cover singular shells embedded in a non-vacuum Universe. That is, we deduce the relativistic equation of motion for a thin shell embedded in a Schwarzschild/Friedmann-Lemaitre-Robertson-Walker spacetime. Also, we review the embedding of a Schwarzschild mass into a cosmological model using "curvature" coordinates and give solutions with (Sch/FLRW) and without the embedded mass (FLRW).

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Oyvind Gron, Peter D. Rippis. 2003-11-07. Singular shell embedded into a cosmological model. https://doi.org/10.1023/a%3A1027353707603

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