Quantum cosmology with k-Essence theory

Abstract

A class of $k$-Essence cosmological models, with a power law kinetic term, is quantised in the mini-superspace. It is shown that for a specific configuration, corresponding to a pressureless fluid, a Schrödinger-type equation is obtained with the scalar field playing the rôle of time. The resulting quantum scenario reveals a bounce, the classical behaviour being recovered asymptotically.

Latex file, 7 pages. Version to appear in the proceedings of the 31st International Colloquium on Group Theoretical Methods in Physics. Rio de Janeiro, Brazil, 19-25 june 2016