Cosmic strings in a five dimensional spherically symmetric background in $$ gravity

We study the physical behavior of a five dimensional non-static spherically symmetric cosmological models in the presence of massive strings in the framework of (f(R,T)) gravity proposed by Harko et al. (Phys. Rev. D 84:024020, 2011). Here (R) is the Ricci scalar and (T) is the trace of the stress energy tensor and the fifth dimension is not observed because it is compact. We solve the field equations (i) using a relation between the scale factors given by Samantha and Dhal (Int. J. Theor. Phys. 52:1334, 2013) and (ii) equations of state for string models. The models obtained correspond to (p)-string, geometric string and massive string models in this modified theory in five dimensions. Cosmological parameters of the models are determined and their dynamical properties are discussed.