A Measure of Cosmological Acceleration

Abstract

We propose quantifying the quantum gravitational back-reaction on inflation with an invariant measure of the local acceleration rather than the expansion rate. Our observable is suitable for models in which there is no scalar inflaton to provide a preferred velocity field with which to define the expansion. As an example, we use stochastic techniques to evaluate the local acceleration at one loop order for Lambda-driven inflation in pure quantum gravity.

13 pages, LaTeX 2epsilon, no figures

References in corpus (3)

• Back-Reaction and the Trans-Planckian Problem of Inflation Revisited
• The Effects of Gravitational Back-Reaction on Cosmological Perturbations
• Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time

Cited by in corpus (18)

• Accelerated expansion from structure formation
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Gravitons Enhance Fermions during Inflation
• Can infrared gravitons screen $\Lambda$?
• Long-wavelength metric backreactions in slow-roll inflation
• Stress tensor fluctuations in de Sitter spacetime
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• A Simplified Quantum Gravitational Model of Inflation
• A Phenomenological Model for the Early Universe
• Stress-energy Tensor Correlators of a Quantum Field in Euclidean $R^N$ and $Ad{S}^N$ spaces via the generalized zeta-function method
• Quantum Gravity and Inflation
• Patient Observers and Non-perturbative Infrared Dynamics in Inflation
• To the sphere and back again: de Sitter infrared correlators at NTLO in 1/N
• Pure Gravitational Back-Reaction Observables
• Quantum corrections during inflation and conservation of adiabatic perturbations
• Possible Enhancement of High Frequency Gravitational Waves
• The Volume of the Past Light-Cone and the Paneitz Operator
• Quantum backreaction of $O(N)$-symmetric scalar fields and de Sitter spacetimes at the renormalization point: renormalization schemes and the screening of the cosmological constant