Conformal wormholes in f(R,Lm) theory

In this study, we present a new static and conformally symmetric wormhole solution. We develop new wormhole model in f(R,L-m) gravity. Shape function of conformally symmetric f(R,L-m) wormholes, provided by homothetic vector field is obtained regarding to conformal factor. It is investigated whether the function provides a stable throat infrastructure that does not allow collapsing. Anisotropic fluid matter filled the obtained conformally symmetric traversable wormholes is discussed by examining the dynamical properties of the fluid. Constructed new wormhole model violates all energy conditions. Physical significance of the sources filled constructed wormholes is discussed using volume quantifier. It is revealed that f(R,L-m) theory allows traversable and conformally symmetric wormholes if supported by phantom field.