Compact Objects by Gravitational Decoupling in f(R) Gravity

TL;DR

This paper develops anisotropic stellar models within f(R) gravity using gravitational decoupling, extending known solutions and analyzing their physical viability for specific star parameters.

Contribution

It introduces a method to generate anisotropic solutions in f(R) gravity via gravitational decoupling, extending isotropic models with new physical insights.

Findings

One of the solutions satisfies all physical viability criteria.

The decoupling parameter influences stability and physical acceptability.

Matching conditions determine model parameters for star Her X-I.

Abstract

The objective of this paper is to discuss anisotropic solutions representing static spherical self-gravitating systems in $f(R)$ theory. We employ the extended gravitational decoupling approach and transform temporal as well as radial metric potentials which decomposes the system of non-linear field equations into two arrays: one set corresponding to seed source and the other one involves additional source terms. The domain of the isotropic solution is extended in the background of $f(R)$ Starobinsky model by employing the metric potentials of Krori-Barua spacetime. We determine two anisotropic solutions by employing some physical constraints on the extra source. The values of unknown constants are computed by matching the interior and exterior spacetimes. We inspect the physical viability, equilibrium and stability of the obtained solutions corresponding to the star Her X-I. It is observed that one of the two extensions satisfies all the necessary physical requirements for particular values of the decoupling parameter.