https://doi.org/10.1140/epjc/s10052-020-8005-8
Regular Article - Theoretical Physics
Non-singular solution for anisotropic model by gravitational decoupling in the framework of complete geometric deformation (CGD)
1
Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman
2
Department of Physics, National Defence Academy, Khadakwasla, Pune, 411023, India
* e-mail: sunil@unizwa.edu.om
Received:
1
March
2020
Accepted:
30
April
2020
Published online:
19
May
2020
We presented a non-singular solution of Einstein’s field equations using gravitational decoupling by means of complete geometric deformation (CGD) in the anisotropic domain for compact star models. In this approach both the gravitational potentials are deformed as 
and 
, where 
is a coupling constant. Then we solve more complex field equations under above transformations by using a particular form of deformation function h(r) for two different cases namely the mimic constraint for the pressure 
and the mimic constraint for the density 
(Ovalle in Phys Lett B 788:213, 2019). The compact star models have been constructed by taking 
for two different non-zero values of . Moreover, the boundary conditions are also performed for the said complete geometric deformation in the presence of anisotropic matter distribution. We also find pressure, density, anisotropy and causality conditions that are physically acceptable throughout the model. The 
curve is also presented to support our model for describing a realistic compact object such as neutron stars.
© The Author(s), 2020
