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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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On charged analogues of buchdahl's type fluid spheres

TL;DR: In this article, the charged analogues of Buchdahl's type fluid spheres have been obtained by considering a particular form of electric field intensity in the process of the Einstein-Maxwell field equations.
Journal ArticleDOI

Relativistic star solutions in higher-dimensional pseudospheroidal space-time

TL;DR: In this paper, the authors obtained relativistic solutions of a class of compact stars in hydrostatic equilibrium in higher dimensions by assuming a pseudospheroidal geometry for the spacetime.
Journal ArticleDOI

Relativistic strange stars with anisotropy

TL;DR: In this paper, the authors analyzed the effect of pressure anisotropy on the Bag parameter for a compact star described by Vaidya-Tikekar metric and determined the values of B inside and on surface of the star.
Journal ArticleDOI

Symmetry, Singularities and Integrability in Complex Dynamics I: The Reduction Problem

TL;DR: In this article, the authors show that quadratic systems generated using Yang-Baxter equations are integrable in a sense, but display a deterioration in the possession of the Painleve property as the number of equations in each "integrable" system increases.
Journal ArticleDOI

Relativistic solution for a class of static compact charged star in pseudo-spheroidal spacetime

TL;DR: In this paper, the relativistic solution for the theory is used to obtain models for charged compact objects; thereafter, a qualitative analysis of the physical aspects of compact objects are studied.
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?]}