Complexity and impact of EOS parameter on compact stellar objects under Finch–Skea geometry

In the present work, we have studied the effect of equation of state (EOS henceforth) parameter on the complexity of static, self-gravitating systems. Utilizing the notion of complexity of static, spherically symmetric stars in general relativity as defined by Herrera (Phys Rev D 97:044010, 2018), we have investigated four types of EOS parameters of anisotropic stellar models. The models under consideration are the: (i) Sharma et al. configuration (arXiv:2402.05461 [gr-qc], 2024) assuming a linear EOS, (ii) Paul et al. compact object (Eur Phys J Plus 137:525, 2022) invoking a colour-flavour-locked EOS, (iii) Bhar anisotropic star (Astrophys Space Sci 359:41, 2015) employing a Chaplygin EOS and (iv) Sharma and Ratanpal stellar object (Int J Mod Phys D 22(13):1350074, 2013) assuming a quadratic EOS. All of these models share the Finch–Skea (FS) geometry for the interior spacetime. Our work shows that the complexity factor is strengthened as the EOS parameters increase for each of the equation of states under investigation.