Living Reviews in Relativity

"Analogue Gravity"
by
Carlos Barceló and Stefano Liberati and Matt Visser  

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Abstract
1 Introduction
1.1 Overview
1.2 Motivations
1.3 Going further
2 The Simplest Example of an Analogue Spacetime
2.1 Background
2.2 Geometrical acoustics
2.3 Physical acoustics
2.4 General features of the acoustic metric
2.5 Cosmological metrics
2.6 Regaining geometric acoustics
2.7 Generalizing the physical model
2.8 Simple Lagrangian meta-model
2.9 Going further
3 History
3.1 Historical period
3.2 Modern period
3.3 Going further
4 A Catalogue of Models
4.1 Classical models
4.2 Quantum models
4.3 Going further
5 Phenomenology of Analogue Models
5.1 Hawking radiation
5.2 Dynamical stability of horizons
5.3 Super-radiance
5.4 Cosmological particle production
5.5 Bose novae: an example of the reverse flow of information?
5.6 Romulan cloaking devices
5.7 Going further
6 Experimental efforts
6.1 Wave tank experiments
6.2 Bose–Einstein condensate experiments
6.3 Differentially-rotating flows in superfluid helium
6.4 Fibre-optic models
6.5 Going further
7 Towards a Theory of Quantum Gravity?
7.1 Backreaction
7.2 Equivalence principle
7.3 Nontrivial dispersion as Einstein-aether theory
7.4 Diffeomorphism invariance
7.5 Effective spin-two particles
7.6 Weinberg–Witten theorem
7.7 Emergent gravity
7.8 One specific route to the Einstein equations?
7.9 The cosmological constant problem
7.10 Other pieces of the puzzle
7.11 Quantum gravity – phenomenology
7.12 Quantum gravity – fundamental models
7.13 Going further
8 Conclusions
8.1 Going further
9 Acknowledgements
Open References References
Footnotes
Updates
Figures
Tables