Journal ArticleDOI
Exact model for a relativistic star
TLDR
In this article, a static spherically symmetric model based on an analytic closed-form solution of Einstein's field equations is presented, assuming the density of the order of 2×1014 g/cm−3.Abstract:
Assuming that the physical three‐space in a relativistic superdense star has the geometry of a three‐spheroid, a static spherically symmetric model based on an analytic closed‐form solution of Einstein’s field equations is presented. Assuming the density of the order of 2×1014 g cm−3, estimates of the total mass and size of the stars of the model are obtained for various values of a density‐variation parameter that is suitably defined. The total mass and the boundary radius of each of these models are of the order of the mass and size of a neutron star.read more
Citations
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Static charged perfect fluid spheres in general relativity
TL;DR: In this paper, interior perfect fluid solutions for the Reissner-nordstrom metric are studied on the basis of a new classification scheme, which specifies which two of the characteristics of the fluid are given functions and accordingly picks up one of the three main field equations, the other two being universal.
Journal ArticleDOI
General Solution for a Class of Static Charged Spheres
TL;DR: In this paper, a class of solutions to the Einstein-Maxwell system for a charged sphere with a particular choice of the electric field intensity was proposed, and a qualitative analysis of the physical features of the model was performed.
Journal ArticleDOI
Some charged polytropic models
P. Mafa Takisa,Sunil D. Maharaj +1 more
TL;DR: In this article, a polytropic equation of state with anisotropic pressures and electromagnetic field was used to obtain exact solutions for the relativistic compact stars and a neutral anisotropy gravitating body for a polytrope.
Journal ArticleDOI
Anisotropic compact stars in the Buchdahl model: A comprehensive study
S. K. Maurya,Ayan Banerjee,Mahmood K. Jasim,Jitendra Kumar,Amit Kumar Prasad,Anirudh Pradhan +5 more
TL;DR: In this paper, the authors presented a class of relativistic solutions describing spherically symmetric and static anisotropic stars in hydrostatic equilibrium, including the Vaidya-Tikekar and Finch-Skea solutions.
Journal ArticleDOI
Classes of exact Einstein–Maxwell solutions
TL;DR: In this paper, the conditions of pressure isotropy are reduced to a linear, second-order differential equation which can be solved in general, and exact solutions to the Einstein-Maxwell field equations corresponding to a static spherically symmetric gravitational potential in terms of hypergeometric functions.
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
General Relativistic Fluid Spheres
TL;DR: In this article, a singularity-free elementary algebraic solution of the field equations is presented and exact values obtained from it compared with the limits prescribed by some of the inequalities.
Journal ArticleDOI
Maximum Mass of a Neutron Star
Clifford E. Rhoades,Remo Ruffini +1 more
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?]}
Journal ArticleDOI
Exact Relativistic Model for a Superdense Star
P. C. Vaidya,Ramesh Tikekar +1 more
TL;DR: 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.