Stability Analysis Of Bounce Inflation Cosmology Within F(T) Formulism

Even though bounce model within General relativity can solve the singularity problem of the very early cosmology,which is unsolved by inflation model,but sta-bility problem is the main issue that is confronting the bounce cosmology.Though the so called Galileon theories can solve ghost instability,by finely designing the La-grangian,gradient instability will the unavoidable problem for this kind of theories.On the other hand,bounce model may suffer from anisotropic problem.If the EoS parameter w is large than 1,which could solve such problem,it than can not gen-erate scale invariant power spectrum.So we go beyond General Relativity,trying to solve these two instability problems simultaneously,within f(T)gravity theory.We first construct the scale factor for bounce inflation cosmology,where w>1,and the perturbation is generated during inflation period.Than we reconstruct the f(T)function by solve the background equation.The perturbation is analyzed using ADM formulism.We analyze the second order perturbation,giving some direct constraints to f(T),and use parameters to build the bounce inflation model.