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arXiv · 2601.02782

An Interior model of Charged Fluid Spheres

Naren Babu O. V·Hemalatha. R·Narayanankutty Karuppath·Sabu M. C
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Abstract

At constant time $t$, we examine the Vaidya-Tikekar metric characterising a three-dimensional, extremely dense spheroidal star configuration. The static, spherically symmetric solution of Einstein's field equations can be expressed in analytic closed form utilising a hypergeometric series. A relativistic, superdense state of matter at a constant $t$ is represented by the resultant model, which describes the geometry of a three-spheroid. Assuming a stellar density of $\rho_{a}= 2*10^{14} gm*cm^{-3}$, we investigate configurations whose total mass and radius vary over a range of well-defined values of the density variation parameter. Similar to an uncharged neutron star, all models possess the same total mass and boundary radius. The hypergeometric solution leads to a new class of exact, physically acceptable solutions. We show that the model satisfies the conditions of hydrostatic equilibrium and fulfils all standard energy conditions, which are verified throughout the analysis.

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Naren Babu O. V, Hemalatha. R, Narayanankutty Karuppath, Sabu M. C. 2026-01-06. An Interior model of Charged Fluid Spheres. https://arxiv.org/abs/2601.02782

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