Journal ArticleDOI
Exact Relativistic Model for a Superdense Star
P. C. Vaidya,Ramesh Tikekar +1 more
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.read more
Citations
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Journal ArticleDOI
Role of pressure anisotropy on relativistic compact stars
TL;DR: In this article, a compact spherically symmetric relativistic body with anisotropic particle pressure profiles was investigated, and the results satisfied all the required elementary conditions for a physically acceptable stellar model.
Journal ArticleDOI
Tikekar superdense stars in electric fields
K. Komathiraj,Sunil D. Maharaj +1 more
TL;DR: In this paper, the authors presented exact solutions to the Einstein-Maxwell system of equations with a specified form of the electric field intensity by assuming that the hypersurface {t=constant} are spheroidal.
Journal ArticleDOI
Relativistic stellar model admitting a quadratic equation of state
Ranjan Sharma,B. S. Ratanpal +1 more
TL;DR: In this paper, a class of solutions describing the interior of a static spherically symmetric compact anisotropic star is reported by utilizing the Finch and Skea [Class.6 (1989) 467] ansatz for the metric potential grr which has a clear geometric interpretation for the associated background spacetime.
Journal ArticleDOI
Exact solutions for the Tikekar superdense star
Sunil D. Maharaj,P. G. L. Leach +1 more
TL;DR: In this paper, Tikekar's relativistic model for superdense stars was analyzed in terms of polynomials and algebraic functions and the results showed that the solution of the Einstein field equations is reduced to integrating a second order ordinary differential equation.
Journal ArticleDOI
The Role of pressure anisotropy on the maximum mass of cold compact stars
TL;DR: In this article, the physical features of a class of exact solutions for cold compact anisotropic stars were studied in the Vaidya-Tikekar model and the effect of pressure anisotropy on the maximum mass and surface red-shift was analyzed.
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
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?]}