Gravastar admitting conformal motion in Rastall gravity

Abstract

This paper investigates a unique stellar object, known as a gravastar that admits the conformal motion within the framework of non-conserved Rastall theory. By incorporating conformal Killing vectors, we analyze how the relationship between matter and geometry influences the gravastar structure and stability under modified field equations. Utilizing these Killing vectors along with an equation of state $p=\omega \rho$, where $0<\omega <1$ characterizes the normal matter distribution, we analytically examine various physical properties of the gravastar, including proper length, energy, entropy, equation of state parameter, matching conditions, and stability criteria such as surface redshift and adiabatic index. The graphical analysis for these factors is also presented to further enrich the developed results. We further explore the influence of Rastall parameter on the gravastar's stability and structural configuration. Our findings indicate that Rastall theory, when combined with the conformal symmetry, yields a physically viable gravastar model that may present distinctive features from black holes under specific astrophysical conditions.