HideSubsections
Abstract
1
Overview
2
From Semiclassical to Stochastic Gravity
2.1
The importance of quantum fluctuations
3
The Einstein-Langevin Equation: Axiomatic Approach
3.1
Semiclassical gravity
3.2
Stochastic gravity
4
The Einstein-Langevin Equation: Functional Approach
4.1
Influence action for semiclassical gravity
4.2
Influence action for stochastic gravity
4.3
Explicit form of the Einstein-Langevin equation
5
Noise Kernel and Point-Separation
5.1
Point separation
5.2
Stress-energy bi-tensor operator and noise kernel
6
Metric Fluctuations in Minkowski Spacetime
6.1
Perturbations around Minkowski spacetime
6.2
The kernels in the Minkowski background
6.3
The Einstein-Langevin equation
6.4
Correlation functions for gravitational perturbations
6.5
Discussion
7
Structure Formation
7.1
The model
7.2
The Einstein-Langevin equation for scalar metric perturbations
7.3
Correlation functions for scalar metric perturbations
7.4
Discussion
8
Black Hole Backreaction
8.1
The model
8.2
CTP effective action for the black hole
8.3
Near flat case
8.4
Near horizon case
8.5
The Einstein-Langevin equation
8.6
Discussions
9
Concluding Remarks
10
Acknowledgements
References
Footnotes