Singular Shell Embedded into a Cosmological Model
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).
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- December 2003
- DOI:
- 10.1023/A:1027353707603
- arXiv:
- arXiv:gr-qc/0307006
- Bibcode:
- 2003GReGr..35.2189G
- Keywords:
-
- General Relativity and Quantum Cosmology;
- Astrophysics
- E-Print:
- 25 pages, 2 figures