Early universe: Gravitational waves and tensor metric fluctuations

Abstract

In this work, we develop a model for the early universe in whichpreinflation is followed by a warming epoch and a subsequent sub-exponentialquintesential expansion. We demonstrate that gravitational waves (GW) generatedat the birth of the universe leave an imprint of that event, which issignificantly suppressed a few Planckian times after that moment. We calculatethe strengths of both, the total transverse GW and the b-polarization, for eachmode. We use a nonlinear quantum algebra to calculate the expectation value ofthe quantum metric tensor perturbations, which are induced by the geometricquantum field with which we extend the Riemann manifold. A measure for thetemperature fluctuations at the Hubble horizon is proposed.