https://doi.org/10.1140/epjc/s10052-020-08491-w
Regular Article - Theoretical Physics
An EGD model in the background of embedding class I space–time
1
Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman
2
Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
a
sunil@unizwa.edu.om
b
francisco.tello@ua.cl
Received:
26
July
2020
Accepted:
20
September
2020
Published online:
6
October
2020
This work is devoted to the study of relativistic anisotropic compact objects. To obtain this class of solutions of the Einstein field equations, we have developed a general scheme to generate the metric of the space–time describing the interior of the compact structure. This approach is based on the class I space–time and the extended gravitational decoupling by means of an extended geometric deformation (EGD). The class I condition provides a differential equation relating both metric potential and
, whilst the EGD translates the metric potentials to
and
, where h(r) and f(r) are the deformation functions and
a dimensionless constant. In this case the pair
represents the seed solution satisfying the class I condition without any deformation. Once the deformed metric potentials are inserted into the class I, the main task is to obtain h(r) or f(r). So, in this case a particular ansatz for h(r) is considered in conjunction with
to get f(r). In order to check feasibility of our model, we have performed a thoroughly physical, mathematical and graphical analysis.
© The Author(s) 2020
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