Cracking and overturning of Finch–Skea stellar objects obeying Karmarkar conditions in f(R,T) gravity

Abstract

This work employs the cracking approach to analyze the implications of density fluctuations on anisotropic, spherically symmetric stellar models within $f(R,T)$ gravity. This analysis presents the field equations and derives a corresponding equation for the equilibrium state of anisotropic stellar configurations under $f(R,T)$ gravity. Further, we employed the Karmarkar conditions in conjunction with the Finch–Skea ansatz to solve corresponding equations. Additionally, we established a comprehensive framework for locating the cracking and overturning points by disrupting the configuration through local density fluctuation. The analytical framework to analyze the cracking has been deployed to the stars: SAXJ1808.4-3658, SMCX-1, 4U1538-52, EXO 1785-248, and 4U 1728-34 to assess the feasibility of the presented technique. This analysis concludes that cracking emerges in different regions of the above-mentioned stellar models. Significantly, this analysis provides notable insights into the structural dynamics of Finch–Skea stellar structures by locating the regions impacted by density disruptions, thus demonstrating the efficacy of the cracking approach.