Anisotropic Compact Objects with Holographic background in non-linear f ( Q ) gravity

In this paper, we report a study on the structure of realistic compact stars within the framework of symmetric teleparallel gravity by considering non-linear functional forms of f(Q), where Q is the non-metricity scalar. Incorporating a holographic background with Hubble horizon as the IR cutoff, adopted as a particular case of the highly generalized Nojiri-Odintsov cutoff (The European Physical Journal C, 2017, 77, p.528.), we demonstrate the behaviour of anisotropic stellar configurations and analyze their physical viability through various energy conditions and stability criteria. The mass-radius relation, redshift, and other observable quantities are computed and are found to remain within observational bounds. With the help of TOV equation force equilibrium condition has also been established. The results obtained in this paper lead us to conclude that both the non-linear forms, i.e., polynomial and logarithmic models of f(Q) gravity, could describe compact stars. This offers a broader theoretical foundation for understanding realistic ultra-dense astrophysical objects. The study reported in this paper highlights the potential of extended symmetric teleparallel gravity in modeling anisotropic compact stars within the context of a holographic dark energy framework.