https://doi.org/10.1140/epjc/s10052-020-7956-0
Regular Article - Theoretical Physics
Relativistic anisotropic fluid spheres satisfying a non-linear equation of state
1
Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
2
Bijective Physics Institute, Idrija, Slovenia
3
Maritime University of the Caribbean, Department of Basic Sciences, Catia la Mar, Venezuela
4
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla, 4059, Valparaíso, Chile
5
Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile
* e-mail: francisco.tello@ua.cl
Received:
4
January
2020
Accepted:
21
April
2020
Published online:
6
May
2020
In this work, a spherically symmetric and static relativistic anisotropic fluid sphere solution of the Einstein field equations is provided. To build this particular model, we have imposed metric potential 
and an equation of state. Specifically, the so-called modified generalized Chaplygin equation of state with 
and depending on two parameters, namely, A and B. These ingredients close the problem, at least mathematically. However, to check the feasibility of the model, a complete physical analysis has been performed. Thus, we analyze the obtained geometry and the main physical observables, such as the density 
, the radial 
, and tangential 
pressures as well as the anisotropy factor 
. Besides, the stability of the system has been checked by means of the velocities of the pressure waves and the relativistic adiabatic index. It is found that the configuration is stable in considering the adiabatic index criteria and is under hydrostatic balance. Finally, to mimic a realistic compact object, we have imposed the radius to be 
. With this information and taking different values of the parameter A the total mass of the object has been determined. The resulting numerical values for the principal variables of the model established that the structure could represent a quark (strange) star mixed with dark energy.
© The Author(s), 2020
