Inflation Of Scalar-Torsion Theory

As an alternative theory of GR,Teleparallel Gravity Theory has drawn most attention of people recently,their extend theory such as f(T)are widely used in inflation and bounce model.The Scalar-Torsion theory are raised to solve the problem of dark energy,it can cross the phantom divide line of-1.In this paper,we applied this theory to inflation model.We proved this theory has the same expression with f(T)and f(T,B)theory by use the method of conformal transformation,all of them can be written as a scalar field coupled with a boundary term.We studied the qualities of universe evolution in the Jordan frame and Einstein frame by use different potentials.If we choose the potential as V ∝ φn,we find that the scale factor can increase by different ways and it depends on the n.Compared with the solutions,we can conclude that the physic in both frame are identical.