New classes of wormhole model in [formula omitted] gravity by assuming conformal motion

Abstract

The two models of wormhole in f(R,T) gravity using relationship between radial and transverse pressure is discussed in the article. To obtain the wormhole model, we used a separable functional form given by f(R,T)=f1(R)+f2(T). R is the Ricci scalar, and T is the trace of the energy momentum tensor, with f1(R) and f2(T) being arbitrary functions of R and T, respectively. We also explored the possibility of wormhole (WH) solutions by assuming that the spacetime admits conformal killing vectors. Using different values for the coupling parameter γ, we studied the viable solutions and graphically analyzed the various features of these models. It can also be noted that the energy conditions are violated for our anisotropic model and isotropic model violates null energy condition (NEC) for γ = 0,−2,−4 while holds NEC for γ = 2,4. Hence, the anisotropic WH throat is supported by exotic matter and the isotropic by exotic/non-exotic (i.e. γ = 0,−2,−4 & γ = 2,4) although not an interesting model as there is no opening throat.