Constraining study of charged gravastars solutions in symmetric teleparallel gravity

Constraining study of charged gravastars solutions in symmetric teleparallel gravity

30 Apr 2024 | Faisal Javed, Arfa Waseem, G. Mustafa, Fairouz Tchier, Farruh Atamurotov, Bobomurat Ahmedov, Ahmadjon Abdjabbarov
This study investigates the effect of charge on gravastars, which are proposed as alternatives to black holes. Based on the Mazur-Mottola conjecture, the research explores the implications of $ f(Q) $ gravity, a modified theory of gravity. The gravastar is divided into three regions: the interior, intermediate shell, and exterior. Using a specific $ f(Q) $ gravity model with conformal Killing vectors, the study finds that the interior region exerts a repulsive force on the spherical shell due to pressure equivalent to negative energy density. The intermediate shell, composed of ultrarelativistic plasma, balances this repulsion. For the exterior region, two approaches are used: a vacuum solution and the Reissner-Nordström metric. The study matches these spacetimes using junction conditions and examines stability constraints. Results show that charged gravastar solutions with nonsingular physical parameters are physically realistic. The research also analyzes physical quantities such as the equation of state parameter, proper length, energy, and entropy of charged gravastars. The findings indicate that these parameters are directly proportional to the shell thickness. The study concludes that $ f(Q) $ gravity provides a viable framework for understanding gravastar stability and physical properties, offering new insights into the role of charge in shaping these objects.This study investigates the effect of charge on gravastars, which are proposed as alternatives to black holes. Based on the Mazur-Mottola conjecture, the research explores the implications of $ f(Q) $ gravity, a modified theory of gravity. The gravastar is divided into three regions: the interior, intermediate shell, and exterior. Using a specific $ f(Q) $ gravity model with conformal Killing vectors, the study finds that the interior region exerts a repulsive force on the spherical shell due to pressure equivalent to negative energy density. The intermediate shell, composed of ultrarelativistic plasma, balances this repulsion. For the exterior region, two approaches are used: a vacuum solution and the Reissner-Nordström metric. The study matches these spacetimes using junction conditions and examines stability constraints. Results show that charged gravastar solutions with nonsingular physical parameters are physically realistic. The research also analyzes physical quantities such as the equation of state parameter, proper length, energy, and entropy of charged gravastars. The findings indicate that these parameters are directly proportional to the shell thickness. The study concludes that $ f(Q) $ gravity provides a viable framework for understanding gravastar stability and physical properties, offering new insights into the role of charge in shaping these objects.
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