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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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An electromagnetic extension of the Schwarzschild interior solution and the corresponding Buchdahl limit

TL;DR: In this article, a model for a charged star as a generalization of the uniform density Schwarzschild interior solution is presented. But the model is based on the Vaidya and Tikekar ansatz (Astrophys Astron 3:325, 1982).
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An exact solution of einstein equations for interior field of an anisotropic fluid sphere

TL;DR: In this article, an anisotropic relativistic fluid sphere with variable density, which decreases along the radius and is maximum at the centre, is discussed, and a spherically symmetric static space-time with spheroidal physical 3-space is considered.
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Pulsar PSR B0943$$+$$10 as an isotropic Vaidya–Tikekar-type compact star

TL;DR: In this article , a model for well behaved isotropic compact star in the presence of charged perfect fluid, by considering a static and spherically symmetric metric in Schwarzschild's canonical coordinate system, was constructed.
Journal ArticleDOI

Report on the physical characteristics of Vaidya‐Tikekar's exact relativistic model for a superdense star

TL;DR: Vaidya P.C. et Tikekar R. as discussed by the authors studied des proprietes physiques and de la stabilite du modele d'etoile superdense de VaidyaP.C., Tikekara R.
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?]}