Hadamard and boundary conditions for the Big Bang quantum vacuum
Abstract
General relativity predicts final-type singularities inside black holes, as well as a cosmological initial-type singularity. Cosmic censorship protects external observers from black hole singularities, while Penrose's Weyl curvature hypothesis protects the smoothness of the initial (Big Bang) singularity. We discuss a simple realization of the Weyl curvature hypothesis by assuming a very early radiation-dominated universe and analytically extending the expansion factor to negative values of conformal time. We impose time-reversal conditions at the Big Bang to characterize a natural set of preferred vacuum states for quantized matter fields. We implement the prescription of States of Low Energy constructed around the Big Bang obtaining Hadamard states. We also explore the physical implications of these vacua for cosmological dark matter production.
Keywords
Cite
@article{arxiv.2204.05414,
title = {Hadamard and boundary conditions for the Big Bang quantum vacuum},
author = {Pau Beltrán-Palau and Sergi Nadal-Gisbert and José Navarro-Salas and Silvia Pla},
journal= {arXiv preprint arXiv:2204.05414},
year = {2023}
}
Comments
17 pages. 2 figures. New title. To appear in the proceedings of "Avenues of Quantum Field Theory in Curved Spacetime"