Stochastic semiclassical gravity

Abstract

In the first part of this paper, we show that the semiclassical Einstein-Langevin equation, introduced in the framework of a stochastic generalization of semiclassical gravity to describe the back reaction of matter stress-energy fluctuations, can be formally derived from a functional method based on the influence functional of Feynman and Vernon. In the second part, we derive a number of results for background solutions of semiclassical gravity consisting of stationary and conformally stationary spacetimes and scalar fields in thermal equilibrium states. For these cases, fluctuation-dissipation relations are derived. We also show that particle creation is related to the vacuum stress-energy fluctuations and that it is enhanced by the presence of stochastic metric fluctuations.

26 pages, RevTeX, no figures

Cited by in corpus (61)

• Stochastic Gravity: Theory and Applications
• Stochastic Theory of Relativistic Particles Moving in a Quantum Field: II. Scalar Abraham-Lorentz-Dirac-Langevin Equation, Radiation Reaction and Vacuum Fluctuations
• Sourcing semiclassical gravity from spontaneously localized quantum matter
• Stochastic description for open quantum systems
• Problems with the Newton-Schrödinger Equations
• Stochastic semiclassical fluctuations in Minkowski spacetime
• Probing a Gravitational Cat State
• Stochastic Gravity: A Primer with Applications
• Induced quantum metric fluctuations and the validity of semiclassical gravity
• One-loop Corrections to Scalar and Tensor Perturbations during Inflation in Stochastic Gravity
• Can Spacetime be a Condensate?
• Stress Tensor Correlators in the Schwinger-Keldysh Formalism
• One-loop gravitational wave spectrum in de Sitter spacetime
• The Effects of Stress Tensor Fluctuations upon Focusing
• Linear Response, Validity of Semi-Classical Gravity, and the Stability of Flat Space
• Riemann correlator in de Sitter including loop corrections from conformal fields
• Stress tensor fluctuations in de Sitter spacetime
• Noise Kernel in Stochastic Gravity and Stress Energy Bi-Tensor of Quantum Fields in Curved Spacetimes
• Cosmological perturbations from stochastic gravity
• Metric fluctuations of an evaporating black hole from back reaction of stress tensor fluctuations
• Nonperturbative semiclassical stability of de Sitter spacetime for small metric deviations
• Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity
• Spacelike Fluctuations of the Stress Tensor for de Sitter Vacuum
• Principle of least decoherence for Newtonian semi-classical gravity
• Noise Kernel and Stress Energy Bi-Tensor of Quantum Fields in Hot Flat Space and Gaussian Approximation in the Optical Schwarzschild Metric
• Vacuum decay in quantum field theory
• A Kinetic Theory Approach to Quantum Gravity
• Mode decomposition and renormalization in semiclassical gravity
• Backreaction from non-conformal quantum fields in de Sitter spacetime
• Noise kernel for a quantum field in Schwarzschild spacetime under the Gaussian approximation
• Possible Constraints on the Duration of Inflationary Expansion from Quantum Stress Tensor Fluctuations
• Minkowski Vacuum Stress Tensor Fluctuations
• Propagation in a thermal graviton background
• Can the fluctuations of the quantum vacuum solve the cosmological constant problem?
• Quantum Noise of Gravitons and Stochastic Force on Geodesic Separation
• Cosmological Density Fluctuations in Stochastic Gravity -- Formalism and Linear Analysis --
• Stochastic Spacetime and Brownian Motion of Test Particles
• Can the quantum vacuum fluctuations really solve the cosmological constant problem?
• Brownian Motion in Robertson-Walker Space-Times from electromagnetic Vacuum Fluctuations
• Noise kernels of stochastic gravity in conformally-flat spacetimes
• Fractal Spacetimes in Stochastic Gravity? -- Views from Anomalous Diffusion and the Correlation Hierarchy
• Black hole fluctuations and dynamics from back-reaction of Hawking radiation: Current work and further studies based on stochastic gravity
• Gravitational Decoherence, Alternative Quantum Theories and Semiclassical Gravity
• Chaos, decoherence and quantum cosmology
• Quantum correlation functions and the classical limit
• Macroscopic quantum phenomena from the large N perspective
• Real time approach to tunneling in open quantum systems: decoherence and anomalous diffusion
• Gravity, Quantum Fields and Quantum Information: Problems with classical channel and stochastic theories
• Decoherence and bare mass induced by nonconformal metric fluctuations
• Noise Kernel for Self-similar Tolman Bondi Metric: Fluctuations on Cauchy Horizon
• Enhanced Geometry Fluctuations in Minkowski and Black Hole Spacetimes
• Tests of Quantum Gravity near Measurement Events
• Master equation for quantum Brownian motion derived by stochastic methods
• Energy Flux Correlations and Moving Mirrors
• Classical Einstein-Langevin Equation and Proposed Applications
• Stochastic Gravity: Beyond Semiclassical Gravity
• Semi-quantum Gravity and Testing Gravitational Bell Non-locality
• Conformally-related Einstein-Langevin equations for metric fluctuations in stochastic gravity
• Quantum Brownian representation for the quantum field modes
• Noise Kernel for Reissner Nordstrom Metric: Results at Cauchy Horizon
• A healthier stochastic semiclassical gravity: world without Schrödinger cats