Regular Article - Theoretical Physics
Regularity condition on the anisotropy induced by gravitational decoupling in the framework of MGD
Grupo de Campos y Partículas, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, 1041, Caracas, Venezuela
2 School of Physical Sciences and Nanotechnology, Yachay Tech University, 100119, Urcuquí, Ecuador
3 Departamento de Física, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito, Quito, Ecuador
Accepted: 14 February 2020
Published online: 26 February 2020
We use gravitational decoupling to establish a connection between the minimal geometric deformation approach and the standard method for obtaining anisotropic fluid solutions. Motivated by the relations that appear in the framework of minimal geometric deformation, we give an anisotropy factor that allows us to solve the quasi–Einstein equations associated to the decoupling sector. We illustrate this by building an anisotropic extension of the well known Tolman IV solution, providing in this way an exact and physically acceptable solution that represents the behavior of compact objects. We show that, in this way, it is not necessary to use the usual mimic constraint conditions. Our solution is free from physical and geometrical singularities, as expected. We have presented the main physical characteristics of our solution both analytically and graphically and verified the viability of the solution obtained by studying the usual criteria of physical acceptability.
© The Author(s) 2020
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