An anisotropic model for represent compact stars

Author:

Estevez-Delgado Joaquin1,Cabrera Jose Vega1,Ceballos Joel Arturo Rodriguez2,Paulin-Fuentes Jorge Mauricio3

Affiliation:

1. Facultad de Ciencias Físico Matemáticas de la Universidad Michoacana de San Nicolás de Hidalgo, Edificio B, Ciudad Universitaria, Morelia Michoacán, CP 58040, México

2. Facultad de Químico Farmacobiología de la Universidad Michoacana de San Nicolás de Hidalgo, Tzintzuntzan No. 173, Col. Matamoros, C.P. 58240, Morelia Michoacán, México

3. División Académica de Ciencias Básicas de la Universidad Juárez Autónoma de Tabasco, Carretera Cunduacán-Jalpa Km. 1, Col. La Esmeralda, 86690, Cunduacán, Tabasco, México

Abstract

Starting from a perfect fluid solution we constructed a generalization with anisotropic pressures and regular geometry as well as the pressures, the density and the speed of sound, these are also positive and monotonic decreasing functions. The speed of sound is lower than the speed of light, that is to say, the condition of causality is not broken. The model satisfies all the energy conditions and the radial [Formula: see text] and tangential [Formula: see text] speeds and complies with [Formula: see text] because of this the solution is stable according to the stability criteria related with the concept of cracking. The maximum value of the compactness factor [Formula: see text] which is lower than the Buchdahl limit and associated to neutron stars. In a complementary manner, we realize an analysis of the behavior of a star with a mass of [Formula: see text], with a fixed value of the anisotropy parameter and different compactness values, giving as a result that their central density [Formula: see text] and the superficial density [Formula: see text], the maximum values match the value of greater compactness of the model with a stellar radius of 6506.921 m.

Funder

CIC-UMSNH

PRODEP

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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2. An anisotropic interior solution of Einstein equations;Modern Physics Letters A;2023-04-10

3. Description of the interior of the neutron star in EXO 1785-248 by mean of the Karmarkar condition;International Journal of Geometric Methods in Modern Physics;2023-04-06

4. A viable relativistic charged model of super-dense star LMC X-4;Modern Physics Letters A;2023-03-21

5. On evolution of compact stars from string fluid in Rastall gravity;International Journal of Geometric Methods in Modern Physics;2022-11-29

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