The Cold Dark Matter Density Perturbation

Abstract

This is a review of the Cold Dark Matter model of structure formation, and its variants. The approach is largely from first principles, the main aim being to impart a basic understanding of the relevant theory with an eye to the likely intense activity of the next few years, but the current observational status of the model is also critically assessed. The evolution of adiabatic and isocurvature density perturbations is described, and their effect on the large scale cmb anisotropy calculated as well as that of any gravitational waves. The generation of all three types of perturbation during inflation is described, and the normalisation and spectral indices are calculated in terms of the inflationary potential and its first and second derivatives. The comparison of the theory with each type of observation is described, starting with the COBE data and moving down in scale to the non-linear regime. Constraints on the spectrum of the adiabatic density perturbation are exhibited, the spectrum being parametrised by its normalisation and its degree of tilt. Finally extensions of the CDM model are considered, which replace some of the cold dark matter by hot dark matter or a cosmological constant.

117 pages. SUSSEX-AST 92/8-2; LANC-TH 8-2-92

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• Large- and Small-Scale Constraints on Power Spectra in $\Omega =1$ Universes
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• Cosmological Zoom-In Simulations of Milky Way Host Mass Dark Matter Halos with a Blue-Tilted Primordial Power Spectrum
• Probing the mass function of halo dark matter via microlensing
• Inflation in the Generalized Inverse Power Law Scenario
• Cosmic Initial Conditions for a Habitable Universe
• Cosmic acceleration in models with density dependent moduli
• Special cases of the Multi-Measure Model -- understanding the prolonged inflation
• Compactification driven Hilltop Inflation in Einstein-Yang-Mills
• Density and Graviton Perturbations in the Cosmic Microwave Background
• Mixed perturbations from an Inflaton and Two Curvatons - towards understanding non-gaussianity in more complicated curvaton scenarios
• Eigenvalues of the Stewart-Lyth equation for inflation with a blue spectrum
• Cosmological implications of neutrinos
• The pair-wise velocity dispersion of galaxies: effects of non radial motions
• Inflationary cosmology, a dissipative quantum field theory process
• F-term Inflation in M-theory with Five-branes
• Perturbations of a Universe Filled with Dust and Radiation
• Higgs portal valleys, stability and inflation
• Inflation with blowing-up solution of cosmological constant problem
• Inflation and the cosmic microwave background
• The frozen vanilla model: Exploring dark sector interactions with delta effective theories
• End equilibrium state of a spherical gravitational collapse in the presence of matter and scalar field
• Radiation back reaction on moving branes
• Cosmic Strings-induced CMB anisotropies in light of Weighted Morphology
• Early Tracking Behavior in Small-field Quintessence Models
• Classification of Inflationary Potentials
• A diagrammatic approach to the spectrum of cosmological perturbations
• Initial Condition of Relic Gravitational Waves Constrained by LIGO S6 and Multiple Interferometers
• How much will we learn from the CMB ?
• Flat Space, Dark Energy, and the Cosmic Microwave Background
• Astroparticle physics - A Personal Outlook
• Axion Dark Matter Archaeology with Primordial Gravitational Waves
• Moduli Dynamics in Effective Nested Warped Geometry in Four Dimensions and Some Cosmological Implications
• Cosmology 1996
• Angular Power Spectrum in Modular Invariant Inflation Model
• False Vacuum Chaotic Inflation: The New Paradigm?
• Large Field Inflation in Supergravity
• The intrinsic bispectrum of the CMB from isocurvature initial conditions
• Covariant cosmological perturbation dynamics in the large-scale limit
• Unified Model for Inflation and Dark Matter
• Inflation and Unification
• Are latest detected events of gravitational waves in favor of some models of inflation based on string theory?
• Inflation in softly broken Seiberg-Witten models
• Spherical collapse in reconstructed dark energy models
• Structure formation in a non-canonical scalar field model of clustering dark energy
• First Order Inflation in General Relativity
• Model-independent constraints on inflation and reheating
• Theoretical and observational aspects of cosmological inflation
• Chaotic inflation on the Randall-Sundrum 2-brane model
• The Compactification Problems of Additional Dimensions in Multidimensional Cosmological Theories
• Confronting phantom inflation with Planck data
• DILATON-DRIVEN INFLATION IN STRING COSMOLOGY
• SUSY, Inflation and the Origin of Matter in the Universe
• Reconstructing square-law k-inflation from Planck data
• $Z_2$ Massive Axions, Domain Walls and Inflation
• Inflation from IIB Superstrings with Fluxes
• Uniformity of Cosmic Microwave Background as a Non-Inflationary Geometrical Effect
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism