Abstract
In this paper, we explore viability of stellar structures within the framework of modified Rastall \(f(Q)\) gravity, where \(Q\) represents non-metricity. We use the Karmarkar condition to evaluate the metric components of the spherical structure. Using the modified Rastall \(f(Q)\) gravity, we construct field equations that include a function \(h(Q)\) . We examine this function under two different scenarios. In the first scenario, we consider a hybrid gravity model along with a linear equation of state to evaluate \(h(Q)\) . In the second scenario, we use the hybrid form of \(f(Q)\) but this time we take \(h(Q)\) in logarithmic form. Our objective is to assess possible modifications in gravity by evaluating both cases for different values of \(\eta \) and \(\zeta \) , through which gravity model transitions into hybrid, power-law and exponential forms. We then analyze different physical features of these models that indicate the acceptability and stability of the stellar objects. We use the observational data specifically, the mass and radius of the PSR J1416-2230 star. It is found that all cases exhibit stable and physically acceptable behavior except the exponential-logarithmic case.
