Phantom energy-supported wormhole model in f(R,T) gravity assuming conformal motion

Abstract

In this article, we have discussed Morris and Thorne (MT) wormhole solutions in a modified theory of gravity that admits conformal motion. Here, we explore the wormhole solutions in [Formula: see text] gravity, which is a function of the Ricci scalar ([Formula: see text]) and the trace of the stress–energy tensor ([Formula: see text]). To study wormhole geometries, we make assumption of spherical symmetric static spacetime and the existence of conformal Killing symmetry to get more acceptable astrophysical outcomes. To do this, we choose the expression of [Formula: see text] as [Formula: see text]. Here, we employ the phantom energy EoS relating to radial pressure and density given by [Formula: see text] with [Formula: see text] to constrain our model. Following a discussion of wormhole geometry and behavior of shape function, the study moves on to the computation of proper radial distance, active mass function, the nature of total gravitational energy and a discussion on the violation of energy conditions. We have shown that the wormhole solutions exist for positive as well as negative values of the coupling constant [Formula: see text]. From our analysis, we see that no wormhole solution exists for [Formula: see text]. All the physical parameters have been drawn by employing the values of [Formula: see text] as [Formula: see text] and [Formula: see text], where [Formula: see text] corresponds to general relativity (GR) case. It is found that for our proposed model, a realistic wormhole solution satisfying all the properties can be obtained.