Stability of the Einstein static universe in f ( R , T ) gravity

摘要: The Einstein static (ES) universe has played a major role in various emergent scenarios recently proposed order to cure the problem of initial singularity standard model cosmology. In we address, study existence and stability an ES context f(R, T) modified theories gravity. Considering specific forms function, seek for solutions representing state. Using dynamical system techniques along with numerical analysis, find two classes solutions: first one is always unstable saddle type, while second stable so that its behavior corresponds center equilibrium point. importance class due significant they play constructing non-singular models which could have experienced past-eternally series infinite oscillations about such state after it enters, through suitable physical mechanism, inflationary era. functionality f(R, T), show this theory capable providing cosmological admit (EU) scenarios. We also investigate homogeneous scalar perturbations mentioned models. regions are parametrized by linear equation (EoS) parameter other free parameters will be introduced Our results suggest modifications gravity would lead f(R) model.