de Sitter Radiation and Backreaction in Quantum Cosmology

TL;DR

This paper investigates how quantum effects influence de Sitter radiation and spacetime dynamics in quantum cosmology, revealing that quantum corrections increase the de Sitter temperature based on the ratio of the cosmological scale to the Planck scale.

Contribution

It provides a quantum cosmology framework for analyzing de Sitter radiation and backreaction effects, including inhomogeneities, with derived quantum-corrected Friedmann equations and temperature.

Findings

Quantum corrections increase de Sitter temperature.

Backreaction from spacetime fluctuations modifies Friedmann equations.

Inhomogeneities affect the quantum properties of de Sitter space.

Abstract

We explore the quantum cosmology description of the de Sitter (dS) radiation and its backreaction to dS space, inherent in the wave function of the Wheeler-DeWitt equation for pure gravity with a cosmological constant. We first investigate the quantum Friedmann-Lemaitre-Robertson-Walker cosmological model and then consider possible effects of inhomogeneities of the universe on the dS radiation. In both the cases we obtain the modified Friedmann equation, including the backreaction from spacetime fluctuations, and the quantum-corrected dS temperature. It is shown that the quantum correction increases the dS temperature with the increment characterized by the ratio of the dS scale to the Planck scale.