Stochastic Einstein equations with fluctuating volume

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-Lemaître-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.

References in corpus (4)

• Traversable asymptotically flat wormholes in Rastall gravity
• Thermodynamics of flat FLRW universe in Rastall Theory
• Cosmological perturbations from stochastic gravity
• Modified GR and Helium Nucleosynthesis

Cited by in corpus (7)

• Einstein and Rastall Theories of Gravitation in Comparison
• Accelerated cosmos in a non-extensive setup
• Thermodynamics in Rastall Gravity with Entropy Corrections
• A connection between Rastall-type and f(R, T) gravities
• Black hole solutions and Euler equation in Rastall and generalized Rastall theories of gravity
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• $4$-index theory of gravity and its relation with the violation of the energy-momentum conservation law