Singular shell embedded into a cosmological model
General Relativity and Quantum Cosmology
2011-07-19 v3 Astrophysics
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).
Cite
@article{arxiv.gr-qc/0307006,
title = {Singular shell embedded into a cosmological model},
author = {Oyvind Gron and Peter D. Rippis},
journal= {arXiv preprint arXiv:gr-qc/0307006},
year = {2011}
}
Comments
25 pages, 2 figures