Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 68, Issue 3, Pages 397-406Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-007-0043-3
Keywords
relativistic stellar models; superdense stars; strange stars; equation of state; general relativity
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The superdense stars with mass-to-size ratio exceeding 0.3 are expected to be made of strange matter. Assuming that the 3-space of the interior space-time of a strange star is that of a three-paraboloid immersed in a four-dimensional Euclidean space, we obtain a two-parameter family of their physically viable relativistic models. This ansatz determines density distribution of the interior self-gravitating matter up to one unknown parameter. The Einstein's field equations determine the fluid pressure and the remaining geometrical variables. The information about mass-to-size ratio together with the conventional boundary conditions lead to the determination of total mass, radius and other parameters of the stellar configuration.
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