Stable wormholes solutions in the background of Rastall theory

Abstract

In this study, we explore the spherically symmetric static wormhole solutions in the Rastall modified theory of gravity. For this, we consider the anisotropic fluid distribution to construct the field equations for Rastall background. Further, we calculate the matter density function and pressure components for anisotropic fluid from the field equations. Furthermore, we employ the traceless fluid by using a particular equation of state (EoS) to analyze the necessary properties of shape function for wormholes and behavior of energy bounds. However, the major purpose of this study is to acquire the wormhole solutions for traceless fluid in the Rastall background. Moreover, we examine the stability of different forces acting on the system. At the end, it is concluded that our solutions under this current scenario are physically acceptable.