Exact wormholes solutions without exotic matter in f(R,T) gravity

This paper is aimed to evaluate the existence of wormholes in viable Formula: see text gravity models (where Formula: see text is the scalar curvature and Formula: see text is the trace of stress–energy tensor of matter). The exact solutions for energy–momentum tensor components depending on different shapes and redshift functions are calculated without some additional constraints. To investigate this, we consider static spherically symmetric geometry with matter contents as anisotropic fluid and formulate the Einstein field equations for three different Formula: see text models. For each model, we derive expression for weak and null energy conditions and graphically analyzed its violation near the throat. It is really interesting that wormhole solutions do not require the presence of exotic matter — like that in general relativity. Finally, the stability of the solutions for each model is presented using equilibrium condition.