https://doi.org/10.1140/epjc/s10052-018-6319-6
Regular Article - Theoretical Physics
Compact anisotropic models in general relativity by gravitational decoupling
1
Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile
2
Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
* e-mail: francisco.tello@ua.cl
Received:
8
August
2018
Accepted:
8
October
2018
Published online:
19
October
2018
Durgapal’s fifth isotropic solution describing spherically symmetric and static matter distribution is extended to an anisotropic scenario. To do so we employ the gravitational decoupling through the minimal geometric deformation scheme. This approach allows to split Einstein’s field equations in two simply set of equations, one corresponding to the isotropic sector and other to the anisotropic sector described by an extra gravitational source. The isotropic sector is solved by the Durgapal’s model and the anisotropic sector is solved once a suitable election on the minimal geometric deformation is imposes. The obtained model is representing some strange stars candidates and fulfill all the requirements in order to be a well behaved physical solution to the Einstein’s field equations.
© The Author(s), 2018
