A charged perfect fluid model with high compactness
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G. Estevez-Delgado [1] ; J. Estevez-Delgado [1] ; M. Pineda Durán [4] ; N. Montelongo García [2] ; J.M. Paulin-Fuentes [3]
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[1] Universidad Michoacana de San Nicolás de Hidalgo
Universidad Michoacana de San Nicolás de Hidalgo
México
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[2] Instituto Tecnológico de Morelia
Instituto Tecnológico de Morelia
México
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[3] Universidad Juárez Autónoma de Tabasco
Universidad Juárez Autónoma de Tabasco
México
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[4] Instituto Tecnológico Superior de Tocámbaro, Michoacán, México
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- Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 65, Nº. 4, 2019, págs. 382-391
- Idioma: inglés
- Enlaces
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Resumen
A relativistic, static and spherically symmetrical stellar model is presented, constituted by a perfect charged fluid. This represents a generalization to the case of a perfect neutral fluid, whose construction is made through the solution to the Einstein-Maxwell equations proposing a form for the gravitational potential gtt and the electric field. The choice of electric field implies that this model supports values of compactness u = GM/c^(2)R ≤ 0.5337972212, wich are higher than the case without electric charge (u ≤ 0.3581350065), being this feature of relevance to represent compact stars. In addition, density and pressure are positive functions, bounded and decreasing monotones while the electric field is a monotonously increasing function as well as satisfying the condition of causality, so the model is physically acceptable. Additionally, the internal behavior of the hydrostatic functions and their values are obtained taking as data the corresponding to a star of 1 Mꙩ for different values of the charge parameter, obtaining an interval for the central density ρc ≈ (7.9545, 2.7279)10^(19) Kg/m^(3) characteristic of compact stars.
