A new class of relativistic stellar models

Details A new class of relativistic stellar models A new class of relativistic stellar models

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ap%26ss.225..137h&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 225, no. 1, p. 137-149

Mathematics

Field Theory (Physics), Ideal Fluids, Relativity, Schwarzschild Metric, Spheres, Stellar Models, Analysis (Mathematics), Boundary Conditions, Computerized Simulation, Data Reduction, Isotropy

Scientific paper

Einstein field equations for a static and spherically symmetric perfect fluid are considered. A formulation given by Patino and Rago is used to obtain a class of nine solutions, two of them are Tolman solutions I, IV and the remaining seven are new. The solutions are the correct ones corresponding to expressions derived by Patino and Rago which have been shown by Knutsen to be incorrect. Similar to Tolan solution IV each of the new solutions satisfies energy conditions inside a sphere in some range of two independent parameters. Besides, each solution could be matched to the exterior Schwarzschild solution at a boundary where the pressure vanishes and thus the solutions constitute a class of new physically reasonable stellar models.

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