Early universe: gravitational waves and tensor metric fluctuations

MAURICIO BELLINI; JUAN IGNACIO MUSMARRA; MARIANO ANABITARTE; PABLO ALEJANDRO SÁNCHEZ

PHYSICS OF THE DARK UNIVERSE

Elsevier Sciences

Lugar: Amsterdam; Año: 2023 vol. 42 p. 101359 - 101359

In this work, we develop a model for the early universe in which preinflation is followed by a warming epoch and a subsequent sub-exponential quintesential expansion. We demonstrate that gravitational waves (GW) generated at the birth of the universe leave an imprint of that event, which is significantly suppressed a few Planckian times after that moment. We calculate the strengths of both, the total transverse GW and the $b$-polarization, for each mode. We use a nonlinear quantum algebra to calculate the expectation value of the quantum metric tensor perturbations: $hat{delta{g}}_{alphaeta}$, which are induced by the geometric quantum field with which we extend the Riemann manifold. A measure for the temperature fluctuations at the Hubble horizon is proposed: $left.delta T/Tight|_h=-bleft$.