Randall–Sundrum braneworld perspectives on gravastar models: Unraveling the effects of Heintzmann metric potential

Abstract

This investigation delves into the characteristics of gravastars within the context of braneworld models, particularly a higher dimensional warped spacetime proposed by Randall and Sundrum, incorporating a favorable brane tension. A novel approach is adopted using the temporal component of Heintzmann ansatz that guarantees stability and avoids the formation of singularities. In accordance with the hypothesis proposed by Mazur and Mottola concerning the nature of gravastars, we determine the fundamental parameters by enforcing interface constraints relevant to a space devoid of matter, deliberately neglecting the influence of a cosmological constant. The proposed model includes an external region modeled by a relativistic fluid, with an inner core consisting of exotic matter. Through this framework, we explore the gravitational properties of gravastars, including the total mass, the energy content within the outer shell, thermodynamic quantities such as entropy, gravitational redshift at the boundary and the distribution of mass within the central core and the surrounding envelope.