Wormholes in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e735" altimg="si3.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity satisfying the null energy condition with isotropic pressure

We consider the f(R,T) theory of gravity, in which gravitational Lagrangian is given by an arbitrary function Ricci scalar and trace energy–momentum tensor, to study static spherically symmetric wormhole geometries sustained matter sources with isotropic pressure. According restrictions on geometries, we carefully adopt different strategies construct solutions properties characteristics wormholes. Using utterly general procedure, provide several examples wormholes threading throat satisfies all energy conditions discuss mechanisms for finding them. Finally, postulate a smooth transformation simplifying nonlinear field equations have more consistent results than other ones conclude that can be viewed as specific exact without exotic matter.