On self‐similar Tolman models

The self‐similar spherically symmetric solutions of the Einstein field equation for the case of dust are identified. These form a subclass of the Tolman models. These self‐similar models contain the solution recently presented by Chi [J. Math. Phys. 2 8, 1539 (1987)], thereby refuting the claim of h...

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Veröffentlicht in:	J. Math. Phys. (N.Y.); (United States) 1988-06, Vol.29 (6), p.1443-1444
1. Verfasser:	Maharaj, S. D.
Format:	Artikel
Sprache:	eng
Schlagworte:	657003 - Theoretical & Mathematical Physics- Relativity & Gravitation ANALYTICAL SOLUTION ASTROPHYSICS ASYMPTOTIC SOLUTIONS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS EINSTEIN FIELD EQUATIONS EQUATIONS ERUPTIVE VARIABLE STARS Exact sciences and technology FIELD EQUATIONS FIELD THEORIES FUNCTIONS General relativity and gravitation GENERAL RELATIVITY THEORY METRICS Physics Self-graviting systems continuous media and classical fields in curved spacetime SHOCK WAVES STARS SUPERNOVAE SYMMETRY VARIABLE STARS
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Zusammenfassung:	The self‐similar spherically symmetric solutions of the Einstein field equation for the case of dust are identified. These form a subclass of the Tolman models. These self‐similar models contain the solution recently presented by Chi [J. Math. Phys. 2 8, 1539 (1987)], thereby refuting the claim of having found a new solution to the Einstein field equations.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.527938