Investigation of Scalar Potential and Cracking on f ( R ) Theory of Gravity

The present work aims to locate stable regions in isotropic stellar objects employing the cracking framework in f(R, 𝜙, X) gravity, where X represents the kinetic term and 𝜙 is the scalar field. To achieve this, we establish a general formalism to characterize cracking in an isotropic fluid distribution. A perturbative scheme is employed to analyze the radial force profile, since cracking phenomenon is associated with the reversals in the direction of radial forces due to perturbations. The stellar interior is modeled using the Krori-Barua metric, which offers an appropriate framework for the analysis. Further, the proposed framework is evaluated using the empirical data of realistic compact objects, including RXJ1856-37, SAX J1808.4-3658, PSR J1614-2230, Her X-1, Vela X-1, 4U 1820-30, and Cen X-3. For these stars, the force distribution profiles are analyzed to find possible stability regions, and cracking intervals are determined to investigate the impact of different model parameters. Notably, this method offers an alternate approach to examine the stability and structural behavior of compact stars under fluctuations.