Exploring gravastar-like structures with strongly interacting quark matter shell in the framework of $f(Q)$ gravity under conformal symmetry

Abstract

In this work, we investigate gravastar-like structures in static and spherically symmetric space-time within the framework of $f(Q)$ gravity coupled with conformal symmetry. We have modified the conventional gravastar model by introducing a strongly interacting quark matter shell which maintains the apex of causal limit through the EoS, $p=\rho -2B_g$, where, $B_g$ is the bag constant. Non-singular and non-vanishing solutions for the interior and shell regions are obtained, respectively. We have used the Israel junction condition to evaluate the mass of the thin shell for different choices of characteristic radii. Interestingly, the mass of the shell is independent of the matter distribution in the shell region. We found that for radii 9.009, 10.009 and 11.009, the mass increases as $1.80,1.95$ and $2.28M_{\odot }$. The physical features, such as, proper length, energy and entropy of the shell region are studied within the parameter space. Surface redshift calculations were used to validate the proposed model.

20 pages, 10 figures