Eur. Phys. J. Plus (2020) 135: 204
https://doi.org/10.1140/epjp/s13360-020-00212-2

Regular Article

Strange stars in the presence of quintessence

¹ Facultad de Ciencias Físico Matemáticas de la Universidad Michoacana de San Nicolás de Hidalgo, Edificio B, Ciudad Universitaria, C.P. 58030, Morelia, Michoacán, Mexico
² Centro de Investigación en Ingeniería y Ciencias aplicadas de la Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Colonia Chamilpa, C.P. 62209, Cuernavaca, Morelos, Mexico
³ Facultad de Químico Farmacobiología de la Universidad Michoacana de San Nicolás de Hidalgo, Tzintzuntzan No. 173, Col. Matamoros, C.P. 58240, Morelia, Michoacán, Mexico
⁴ Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario 100, Colonia Centro, C.P. 50000, Toluca, Estado de México, Mexico

^* e-mail: joaquin@fismat.umich.mx

Received: 11 December 2019
Accepted: 12 January 2020
Published online: 3 February 2020

Abstract

In this work, starting from the solution for Einstein’s equations in a static and spherically symmetrical space time, we present a quintessence model which describes compact stars. The model for the star has anisotropic pressures given by the state equations and , where is the density on the surface of the star and the parameter of the quintessence matter is such that . The densities and pressures are positive, finite and monotonically decreasing as functions of the radial distance. The solution satisfies the condition of causality, and the maximum compactness of the model is the result of satisfying the stability condition ; for this value, the tangential speed of sound in the center is equal to the speed of light. On the other hand, the maximum density of the quintessence occurs for the compactness ; meanwhile, the maximum values of the other functions are obtained for the maximum compactness. As a verification of the applicability of our model, considering the observational data of the strange star candidate 4U 1608–52, with mass and radius  km, we described this for some masses and radii  km),  km) and  km), and the greatest central density was obtained for the greatest compactness and is independent of the quintessence parameter; however, this value does have an effect on the value of the tangential speed of sound.