Study of the matching of solutions of the Einstein equations according to Darmois

Details Study of the matching of solutions of the Einstein equations according to Darmois Study of the matching of solutions of the Einstein equations according to Darmois

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...427..947b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 427, no. 2, p. 947-950

Physics

Einstein Equations, Field Theory (Physics), Gravitation Theory, Gravitational Fields, Relativity, Stellar Models, Density (Mass/Volume), Mass Distribution, Neutron Stars, Stellar Gravitation

Scientific paper

In this work we study the matching conditions for Einstein's gravitational field equations between two spherically symmetric spacetimes: interior-a matter distribution (e.g., a star) that occupies a well-defined region in space, and exterior-a vacuum region. This interior-exterior matching of solutions set up candidates for star models; here we consider the following matter distributions: (a) Oppenheimer-Snyder, (b) Friedmann-Robertson-Walker, (c) Tolman III (T3), (d) Tolman IV (T4), (e) a layer model T3 + T4. The results from (e) are applied to a typical neutron star, obtaining a very interesting result.

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