Embedded class-I solution of compact stars in f (R) gravity with Karmarkar condition

This paper's main aim is to investigate the existence of a new classification of embedded class-I solutions of compact stars, by using Karmarkar condition in f (R) gravity background. To achieve that goal, we consider two different models of the f (R) theory of gravity for the static spherically symmetric spacetime by considering anisotropic matter distribution. Further, we employ Karmarkar condition to relate the two components of metric potentials g(rr) and g(tt). We assume a particular model for one metric potential and obtain the second one by Karmarkar condition. Moreover, we also calculate the values of constant parameters by using the observational data of these compact stars, namely, Vela X - 1, PSR J1614 - 2230, 4U 1608 - 52, Cen X - 3 and 4U 1820-30. We perform different physical tests like variational behavior of energy density and pressure components, stability and equilibrium conditions, energy constraints, mass function and adiabatic index to check the viability of f (R) gravity models. All these physical attributes indicate the consistent behavior of our models. Our investigation also suggests that f (R) theory of gravity appears as a suitable theory in describing the viability of a new classification of embedded class-I solutions of compact objects. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

This study investigates a new classification of embedded class-I solutions of compact stars using the Karmarkar condition in f(R) gravity background. By considering different models of f(R) theory of gravity and conducting physical tests, the study confirms the viability of the models in describing the behavior of compact objects.