1306.5090 (Maria A. Skugoreva et al.)

Cosmology with nonminimal kinetic coupling and a power-law potential    [PDF]

Maria A. Skugoreva, Sergey V. Sushkov, Alexei V. Toporensky

We consider cosmological dynamics in the theory of gravity with the scalar field possessing a nonminimal kinetic coupling to gravity, $\kappa G_{\mu\nu}\phi^{\mu}\phi^{\nu}$, and the power-law potential $V(\phi)=V_0\phi^N$. Using the dynamical system method, we analyze all possible asymptotical regimes of the model under investigation and show that for sloping potentials with $02. Using a numerical analysis, we also construct exact cosmological solutions and find initial conditions leading to the initial kinetic coupling inflation followed either by a "graceful" oscillatory exit or by the secondary inflation.

View original: http://arxiv.org/abs/1306.5090