Singular Shell Embedded into a Cosmological Model

Author: Grøn Øyvind   Rippis Peter D.  

Publisher: Springer Publishing Company

ISSN: 0001-7701

Source: General Relativity and Gravitation, Vol.35, Iss.12, 2003-12, pp. : 2189-2215

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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-Lemaître-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).