Fitting Non-Minimally Coupled Scalar Models to Gold SnIa Dataset

Non-minimally coupled theories of special potentials are analyzed numerically. Such theories yield equations of state $\omega <-1$ and oscillations of the cosmological expansion, which are favored by the recent analysis of observations. Fitting these theories to the Gold SnIa dataset, we obtain results comparable with other models. A potential of the form $V(\varphi )=V_0{e}^{a_1{\varphi }^2}$ yields ${\chi }_{min}^2=170.127$. Similar results are obtained for potentials of the form $V(\varphi )=V_0+a_1{\varphi }^n$.