https://doi.org/10.1140/epjc/s10052-022-10030-8
Regular Article - Theoretical Physics
Isotropization of embedding Class I spacetime and anisotropic system generated by complexity factor in the framework of gravitational decoupling
1
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, Sultanate of Oman
2
Department of Mathematics, Durban University of Technology, 4000, Durban, South Africa
3
Amity institute of Applied Sciences, Amity University, Uttar Pradesh, India
Received:
24
December
2021
Accepted:
11
January
2022
Published online:
2
February
2022
In this work, we present a hierarchical solution-generating technique employing the Minimum Gravitational Decoupling (MGD) Method and the generalized concept of Complexity as applied to Class I spacetime for bounded compact objects in classical general relativity. Starting off with an anisotropic seed solution described by Class I spacetime, we apply the MGD technique with the constraint that the effective anisotropy vanishes which leads to an isotropic model. In addition, we produce a second family of solutions in which the Complexity factor [Herrera (Phys Rev D 97:044010, 2018)] for the seed solution and its MGD counterpart are the same. We discuss the physical plausibility of both classes of solutions as candidates for physically realizable compact objects.
© The Author(s) 2022
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