Abstract

ESTEVEZ-DELGADO, G. et al. A charged perfect fluid model with high compactness. Rev. mex. fis. [online]. 2019, vol.65, n.4, pp.382-391.  Epub May 06, 2020. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.65.382.

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 / c2R ≤ 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 Mʘ for different values of the charge parameter, obtaining an interval for the central density ρc ≈ (7.9545, 2.7279)1019 Kg/m3 characteristic of compact stars.

Keywords : Exact solutions; perfect fluid; stars solutions; 04.40.Nr; 04.20.Jb; 04.20.Dw.

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