Quantum cosmology on (k = −1)-Friedmann–Robertson–Walker Universe evolving from stiff matter era to the dust dominated one

Abstract

This work is devoted to the spatially open Friedmann–Robertson–Walker (FRW) Universe evolving from the stiff matter era to the dust dominated one. Within the quantum analysis based on the Wheeler–DeWitt equation, we derive the wave function of the [Formula: see text]-FRW Universe with combined matter sources. On the classical level, one has to deal with the Friedmann equation which leads on a dependence of the scale function on time generally expressed from functional relations involving elliptic integrals.

Early-time cosmology with stiff era from modified gravity

“…However, there exist alternative hypotheses in the literature for the post-inflationary and pre-nucleosynthesis epoch, which assume that the Universe does not enter the radiation domination epoch directly, but a stiff matter era precedes the radiation epoch [1][2][3][4][5][6][7][8][9][10][11][12]. This stiff matter era hypothesis was introduced by Zel'dovich some time ago [1], who assumed that the Universe matter content consisted of a cold baryon gas with stiff equation of state.…”