In this work we obtained solutions of field equations for perfect fluid spherically symmetric static spacetimes and found their concircular vector fields (CCVFs) in f (R, T) gravity theory. It came out that special classes of these spacetimes possess either 4-dimensional or 15-dimensional CCVFs. In 28 the author obtained CCVFs for the same spacetimes in general relativity and it is argued that such spacetimes possess CCVFs of 4-, 5-, 6- and 15 dimensions. Our results revealed that the f (R, T) theory restricted the number of CCVFs for the same spacetime. f (R, T) theory allows such spacetimes to admit either the 4 basic Killing vector fields as CCVFs or compel the spacetime to be conformally flat and admit 15 CCVFs. We also calculated the energy density, fluid pressure, trace of the energy-momentum tensor T, Ricci scalar R and the function f (R, T). It is observed that energy density and fluid pressure of some solutions are related as p=- which means that such particular metrics behave like dark energy models.
Haq et al. (Wed,) studied this question.