An Interior model of Charged Fluid Spheres
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arXiv
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| Format: | Preprint |
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2026
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| author | O. V, Naren Babu R, Hemalatha. Karuppath, Narayanankutty C, Sabu M. |
| author_facet | O. V, Naren Babu R, Hemalatha. Karuppath, Narayanankutty C, Sabu M. |
| contents | 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 $ρ_{a}= 2*10^{14} gm*cm^{-3}$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02782 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An Interior model of Charged Fluid Spheres O. V, Naren Babu R, Hemalatha. Karuppath, Narayanankutty C, Sabu M. General Relativity and Quantum Cosmology 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 $ρ_{a}= 2*10^{14} gm*cm^{-3}$, 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. |
| title | An Interior model of Charged Fluid Spheres |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.02782 |