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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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Journal ArticleDOI

Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects.

TL;DR: In this article, the authors demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution.
Journal ArticleDOI

Anisotropic generalization of Buchdahl bound for specific stellar models

TL;DR: In this paper, the authors make a generalization of the Buchdahl limit by incorporating an anisotropic effect for a selected class of exact solutions describing stellar objects and show a direct link between the maximum allowed compactness and pressure anisotropy vi-a-vis geometry of the associated 3-space.
Journal ArticleDOI

Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects

TL;DR: In this article, the authors demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution.
Journal ArticleDOI

Isotropic uncharged model with compactness and stable configurations

TL;DR: In this article, the authors obtained a new exact model for relativistic stellar object by solving Einstein's field equation with help of Buchdahl metric, which is capable to represent some known compact stars like Her X-1,4U 1538-52 and SAX J1808.4-3658.
Journal ArticleDOI

Relativistic models for anisotropic compact stars: A review

TL;DR: In this article , the authors present a simple classification scheme for static and spherically symmetric anisotropic fluid solutions, and discuss different ways of generating a static sphyno-symmetric fluid model.
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?]}