Power law expansion of the early universe for a V (a) = kan potential

Abstract

In a recent paper, He, Gao and Cai [Phys. Rev. D 89, 083510 (2014)], found a rigorous proof, based on analytical solutions of the Wheeler–DeWitt (WDWE) equation, of the spontaneous creation of the universe from nothing. The solutions were obtained from a classical potential [Formula: see text], where [Formula: see text] is the scale factor. In this paper, we present a complementary (to that of He, Gao and Cai) solution to the WDWE equation with [Formula: see text]. I have found an exponential expansion of the true vacuum bubble for all scenarios. In all scenarios, we found a power law behavior of the scale factor result which is in agreement with another studies.