Background Dynamics of Pre-inflationary Scenario in Brans-Dicke Loop Quantum Cosmology

Manabendra Sharma,Tao Zhu,Anzhong Wang

Fig. 8 The left plot of top panel (a) is for $\phi$ and the right plot (b) for $\dot{\phi}$ whereas left plot of bottom panel (c) is for $\ddot{a}$ and right (d) for $\epsilon_1$ with the Starobinsky potential of the form $V(\phi)= ({3}/{4})M^2 \left(\phi -M_{\rm Pl} \right)^2$ with $M = 1.4286 \times 10^{-6}m_{\rm Pl}$ and $m_{\rm Pl}=1$ in the Jordan frame for the KED case with $\dot{\phi_B}<0$ but for those values of $\phi_B$ which do not yield slow roll inflation.