Stochastic Gravity: Beyond Semiclassical Gravity
arXiv:gr-qc/0611051 · doi:10.1088/1742-6596/66/1/012006
Abstract
The back-reaction of a classical gravitational field interacting with quantum matter fields is described by the semiclassical Einstein equation, which has the expectation value of the quantum matter fields stress tensor as a source. The semiclassical theory may be obtained from the quantum field theory of gravity interacting with N matter fields in the large N limit. This theory breaks down when the fields quantum fluctuations are important. Stochastic gravity goes beyond the semiclassical limit and allows for a systematic and self-consistent description of the metric fluctuations induced by these quantum fluctuations. The correlation functions of the metric fluctuations obtained in stochastic gravity reproduce the correlation functions in the quantum theory to leading order in an 1/N expansion. Two main applications of stochastic gravity are discussed. The first, in cosmology, to obtain the spectrum of primordial metric perturbations induced by the inflaton fluctuations, even beyond the linear approximation. The second, in black hole physics, to study the fluctuations of the horizon of an evaporating black hole.
arXiv comment12 pages, no figures, proceedings of the XXIX Spanish Relativity Meeting
References in corpus (30)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
- Classical Equations for Quantum Systems
- Noise and Fluctuations in Semiclassical Gravity
- Semiclassical Gravity Theory and Quantum Fluctuations
- Stochastic Gravity: Theory and Applications
- Semiclassical Equations for Weakly Inhomogeneous Cosmologies
- A Fluctuation-Dissipation Relation for Semiclassical Cosmology
- Backreaction in Semiclassical Cosmolgy: The Einstein Langevin Equation
- Stochastic semiclassical equations for weakly inhomogeneous cosmologies
- Stochastic semiclassical gravity
- Stochastic description for open quantum systems
- Cosmological and Black Hole Horizon Fluctuations
- Stochastic semiclassical fluctuations in Minkowski spacetime
- Stochastic semiclassical cosmological models
- Stochastic Gravity: A Primer with Applications
- Induced quantum metric fluctuations and the validity of semiclassical gravity
- Fluctuations of the vacuum energy density of quantum fields in curved spacetime via generalized zeta functions
- Stochastically Fluctuating Black-Hole Geometry, Hawking Radiation and the Trans-Planckian Problem
- The Semi-Classical Back Reaction to Black Hole Evaporation
- On the semiclassical Einstein-Langevin equation
- Non-equilibrium dynamics of a thermal plasma in a gravitational field
- Fluctuations of the Hawking Flux
- Noise Kernel in Stochastic Gravity and Stress Energy Bi-Tensor of Quantum Fields in Curved Spacetimes
- Vacuum Energy Density Fluctuations in Minkowski and Casimir States via Smeared Quantum Fields and Point Separation
- Spacelike Fluctuations of the Stress Tensor for de Sitter Vacuum
- Large Fluctuations in the Horizon Area and what they can tell us about Entropy and Quantum Gravity
- An effective stochastic semiclassical theory for the gravitational field
- Semiclassical Cosmological Perturbations Generated during Inflation
- Noise induced transitions in semiclassical cosmology