30 Apr 2024 | Faisal Javed, Arfa Waseem, G. Mustafa, Fairouz Tchier, Farruh Atamurotov, Bobomurad Ahmedov, and Ahmadjon Abdujabbarov
This study explores the effects of charge on gravastars, a theoretical alternative to black holes, within the framework of $f(Q)$ gravity, a modified theory of gravity that includes a function of the non-metricity scalar $Q$. The gravastar is divided into three regions: the internal domain, the intermediate shell, and the external domain. Using a specific $f(Q)$ gravity model with conformal Killing vectors, the study finds that the inner domain exerts a repulsive force on the spherical shell due to pressure being equivalent to negative energy density. The intermediate shell, composed of ultrarelativistic plasma and pressure proportional to energy density, balances this repulsive force. For the exterior region, two approaches are used: calculating the vacuum exact solution and considering the Reissner-Nordström metric. The stability constraints for both scenarios are investigated, and the results show that charged gravastar solutions with non-singular physical parameters, including length, energy, entropy, and equation of state (EoS) parameter, are physically realistic. The study also discusses the physical attributes of charged gravastars, such as the EoS parameter, proper length, energy content, and entropy, which are found to be proportional to the thickness of the shell. The findings contribute to a deeper understanding of the stability and properties of charged gravastars in the context of $f(Q)$ gravity.This study explores the effects of charge on gravastars, a theoretical alternative to black holes, within the framework of $f(Q)$ gravity, a modified theory of gravity that includes a function of the non-metricity scalar $Q$. The gravastar is divided into three regions: the internal domain, the intermediate shell, and the external domain. Using a specific $f(Q)$ gravity model with conformal Killing vectors, the study finds that the inner domain exerts a repulsive force on the spherical shell due to pressure being equivalent to negative energy density. The intermediate shell, composed of ultrarelativistic plasma and pressure proportional to energy density, balances this repulsive force. For the exterior region, two approaches are used: calculating the vacuum exact solution and considering the Reissner-Nordström metric. The stability constraints for both scenarios are investigated, and the results show that charged gravastar solutions with non-singular physical parameters, including length, energy, entropy, and equation of state (EoS) parameter, are physically realistic. The study also discusses the physical attributes of charged gravastars, such as the EoS parameter, proper length, energy content, and entropy, which are found to be proportional to the thickness of the shell. The findings contribute to a deeper understanding of the stability and properties of charged gravastars in the context of $f(Q)$ gravity.