Imprints of torsion-like Rastall theory in the construction of wormholes exhibiting conformal motion

Abstract

In current study, we are looking into the possibility of wormhole construction by involving conformal killing vectors in torsion-like Rastall gravity. To meet this goal, a wormhole geometry with static and spherically symmetric features is taken into account where the ordinary matter exhibits anisotropic nature. For obtaining exact wormhole functions, we consider four recently proposed dark matter density models namely Navarro–Frenk–White dark matter density, universal rotation curve dark matter density model, scalar field dark matter model, and pseudo isothermal dark matter profile. A comprehensive graphical analysis of different parameters is then performed for revealing the physical significance of developed wormhole solutions. In this respect, we explore behavior of wormhole shape model, validity of null energy bounds, EoS parameters, volume integral quantifier, exoticity and anisotropic parameters in each case for different Rastall parameter’s variations. Further, stability of these solutions is demonstrated through graphical analysis of TOV forces as well as adiabatic index. It is seen that all wormhole models exhibit valid behavior but do not satisfy the asymptotic flatness property. It is seen that stability of these solutions can be achieved for certain $ϵ$ choices with large $r$ values.