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Journal ArticleDOI

Exact Relativistic Model for a Superdense Star

TLDR
In this article, a static spherically symmetric model based on an exact solution of Einstein's equations is given which will permit densities of the order of 2 × 1014 gm cm-3, radii of a few kilometers and masses up to about four times the solar mass.
Abstract
Assuming that the physical 3-spacet = const in a superdense star is spheroidal, a static spherically symmetric model based on an exact solution of Einstein’s equations is given which will permit densities of the order of 2 × 1014 gm cm-3, radii of the order of a few kilometers and masses up to about four times the solar mass.

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Citations
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Distinct Classes of Compact Stars Based On Geometrically Deduced Equations of State

TL;DR: In this paper, the properties of compact objects like neutron stars are computed based on equation of state (EOS) deduced from a core-envelope model of superdense stars.
Journal ArticleDOI

Inheriting geodesic flows

TL;DR: In this article, the authors investigated the propagation equations for the expansion, vorticity and shear for perfect fluid space-times which are geodesic, assuming that space-time admits a conformal Killing vector which is inheriting so that fluid flow lines are mapped conformally.
References
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Journal ArticleDOI

Static Solutions of Einstein's Field Equations for Spheres of Fluid

TL;DR: In this article, a method is developed for treating Einstein's field equations, applied to static spheres of fluid, in such a manner as to provide explicit solutions in terms of known analytic functions.
Journal ArticleDOI

Maximum Mass of a Neutron Star

TL;DR: On the basis of the theory of relativity, the principle of causality, and Le Chatelier's principle, it was shown in this article that the maximum mass of the equilibrium configuration of a neutron star cannot be larger than $3.2{M}_{[m?]}