We examine the evolution of universe in f(R,T) gravity where R is the Ricci curvature and T is the trace of energy momentum tensor. We focus on the specific form f(R,T)=R+f(T) and explicitly find out the relation between f(T) and state of equation w by adiabatic condition. All possible modes of evolution of the scale factor for the five kinds of state of equation, w=±1,±1/3,0 are exhibited. We simulate numerically the plots of redshift versus distance modulus for three interesting modes and then obtain the good fitting curve compared with the astronomical observation data.
@article{arxiv.1510.01061,
title = {The cosmology in f(R,T) gravity without dark energy},
author = {Gang Sun and Yong-Chang Huang},
journal= {arXiv preprint arXiv:1510.01061},
year = {2016}
}