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Spherically Symmetric C3 Matching in General Relativity
Version 1
: Received: 26 June 2023 / Approved: 27 June 2023 / Online: 28 June 2023 (02:13:12 CEST)
A peer-reviewed article of this Preprint also exists.
Quevedo, H. Spherically Symmetric C3 Matching in General Relativity. Universe 2023, 9, 419. Quevedo, H. Spherically Symmetric C3 Matching in General Relativity. Universe 2023, 9, 419.
Abstract
We study the problem of matching interior and exterior solutions of Einstein’s equations along a particular hypersuface. We present the main aspects of the C3 matching approach that involves third-order derivatives of the corresponding metric tensors in contrast to the standard matching procedures known in general relativity, which impose conditions on the second-order derivatives only. The C3 alternative approach does not depend on coordinates and allows us to determine the matching surface by using the invariant properties of the eigenvalues of the curvature tensor.
Keywords
Exact solutions; matching conditions; curvature eigenvalues
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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