Stochastic Einstein equations with fluctuating volume
General Relativity and Quantum Cosmology
2017-09-06 v1
Abstract
We develop a simple model to study classical fields on the background of a fluctuating spacetime volume. It is applied to formulate the stochastic Einstein equations with a perfect-fluid source. We investigate the particular case of a stochastic Friedmann-Lema\^itre-Robertson-Walker cosmology, and show that the resulting field equations can lead to solutions which avoid the initial big bang singularity. By interpreting the fluctuations as the result of the presence of a quantum spacetime, we conclude that classical singularities can be avoided even within a stochastic model that include quantum effects in a very simple manner.
Keywords
Cite
@article{arxiv.1603.00951,
title = {Stochastic Einstein equations with fluctuating volume},
author = {Vladimir Dzhunushaliev and Hernando Quevedo},
journal= {arXiv preprint arXiv:1603.00951},
year = {2017}
}