Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 The Homogeneous and Isotropic Universe
- 2 Perturbation Theory
- 3 Initial Conditions
- 4 CMB Anisotropies
- 5 CMB Polarization and the Total Angular Momentum Approach
- 6 Non-Gaussianities
- 7 Lensing and the CMB
- 8 Observations of Large-Scale Structure
- 9 Cosmological Parameter Estimation
- 10 The Frequency Spectrum of the CMB
- Appendix 1 Fundamental Constants, Units and Relations
- Appendix 2 General Relativity
- Appendix 3 Perturbations
- Appendix 4 Special Functions
- Appendix 5 Special Functions
- Appendix 6 Mixtures
- Appendix 7 Statistical Utensils
- Appendix 8 Approximation for the Tensor Cℓ Spectrum
- Appendix 9 Boltzmann Equation in a Universe with Curvature
- Appendix 10 Perturbations of the Luminosity Distance
- References
- Index
6 - Non-Gaussianities
Published online by Cambridge University Press: 10 December 2020
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 The Homogeneous and Isotropic Universe
- 2 Perturbation Theory
- 3 Initial Conditions
- 4 CMB Anisotropies
- 5 CMB Polarization and the Total Angular Momentum Approach
- 6 Non-Gaussianities
- 7 Lensing and the CMB
- 8 Observations of Large-Scale Structure
- 9 Cosmological Parameter Estimation
- 10 The Frequency Spectrum of the CMB
- Appendix 1 Fundamental Constants, Units and Relations
- Appendix 2 General Relativity
- Appendix 3 Perturbations
- Appendix 4 Special Functions
- Appendix 5 Special Functions
- Appendix 6 Mixtures
- Appendix 7 Statistical Utensils
- Appendix 8 Approximation for the Tensor Cℓ Spectrum
- Appendix 9 Boltzmann Equation in a Universe with Curvature
- Appendix 10 Perturbations of the Luminosity Distance
- References
- Index
Summary
In this chapter we present an introduction to the vast subject of non-Gaussian perturbations. We mainly concentrate on the bispectrum and the trispectrum. We define some standard shapes of the bispectrum in Fourier space and translate them to angular space. For a description of arbitrary N-point function in the sky we introduce a basis of rotation-invariant functions on the sphere in Appendix 4. This chapter has been added in the second edition.
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- The Cosmic Microwave Background , pp. 244 - 267Publisher: Cambridge University PressPrint publication year: 2020