The "Swiss cheese" cosmological model has no extrinsic curvature discontinuity: A comment on the paper by G.A. Baker, Jr. (astro-ph/0003152)

2000/04/06 by Charles C. Dyer, Dyer, Charles C., Chris Oliwa +1 · 1 citation
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #astro-ph #gr-qc

paper · pdf · doi:10.48550/arxiv.astro-ph/0004090

7 pages, no figures, Latex

arxiv created 2000/04/06 · arxiv updated 2009/11/30

Abstract

Contrary to a claim, the Schwarzschild solution insertion in an expanding universe model, the so called "Swiss cheese" model, does not possess an extrinsic curvature discontinuity. We show that both the intrinsic metric and the extrinsic curvature are continuous, and point out the error that led to the claim.

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• Stability of Thin Shell and Wormhole Configurations: Schwarzschild, Schwarzschild -- (Anti-) de Sitter, and FLRW Spacetimes

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