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

TL;DR

This paper refutes a previous claim by demonstrating that the 'Swiss cheese' cosmological model maintains continuous intrinsic and extrinsic curvature, correcting an earlier misconception about its geometric properties.

Contribution

It clarifies that the 'Swiss cheese' model has no extrinsic curvature discontinuity, correcting prior assertions and emphasizing the model's geometric consistency.

Findings

Both intrinsic metric and extrinsic curvature are continuous in the model

The previous claim of discontinuity was based on an error

The model's geometric properties are consistent with general relativity

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.