An Introduction into the Theory of Cosmological Structure Formation

Abstract

This text aims to give a pedagogical introduction into the main concepts of the theory of structure formation in the universe. The text is suited for graduate students of astronomy with a moderate background in general relativity. A special focus is laid on deriving the results formally from first principles. In the first chapter we introduce the homogeneous and isotropic universe defining the framework for the theory of structure formation, which is discussed in the three following chapters. In the second chapter we describe the theory in the Newtonian framework and in the third chapter for the general relativistic case. The final chapter discusses the generation of perturbations in the very early universe for the simplest models of inflation.

Second edition, 105 pages, 9 figures, comments are welcome!

References in corpus (36)

• The Sloan Digital Sky Survey: Technical Summary
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Efficient Computation of CMB anisotropies in closed FRW models
• Large scale bias and the peak background split
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• Halo Models of Large Scale Structure
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Mass function of dark matter halos
• An analytic model for the spatial clustering of dark matter haloes
• Observational Probes of Cosmic Acceleration
• Using the Evolution of Clusters to Constrain Omega
• Halo occupation numbers and galaxy bias
• Power Spectra for Cold Dark Matter and its Variants
• Galaxy Clustering in the Completed SDSS Redshift Survey: The Dependence on Color and Luminosity
• Calibrator Design for the COBE Far Infrared Absolute Spectrophotometer (FIRAS)
• Cosmic Topology
• Dipole Anisotropy in the COBE DMR First-Year Sky Maps
• Cosmic homogeneity demonstrated with luminous red galaxies
• Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
• Halo mass function and scale-dependent bias from N-body simulations with non-Gaussian initial conditions
• A Halo Model of Galaxy Colors and Clustering in the SDSS
• The overdensity and masses of the friends-of-friends halos and universality of the halo mass function
• On the Newtonian Cosmology Equations with Pressure
• The distribution of red and blue galaxies in groups: an empirical test of the halo model
• Why all these prejudices against a constant?
• A Concise Introduction to Perturbation Theory in Cosmology
• Statistical Cosmology with Quadratic Density Fields
• Dark matter halo occupation: environment and clustering
• Newtonian versus relativistic nonlinear cosmology
• Counts of galaxy clusters as cosmological probes: the impact of baryonic physics
• Proof of a decomposition theorem for symmetric tensors on spaces with constant curvature
• Issues in the Philosophy of Cosmology
• The Clustering of Galaxy Groups: Dependence on Mass and Other Properties

Cited by in corpus (6)

• The intrinsic bispectrum of the Cosmic Microwave Background [PhD thesis]
• Linear matter density perturbations in the ${\Lambda }_{\mathrm{s}}$CDM model: Examining growth dynamics and addressing the $S_8$ tension
• Lightcone Averaging and Precision Cosmology
• Geometric Interpretations of the $k$-Nearest Neighbour Distributions
• General Relativistic Evolution Equations for Density Perturbations in Closed, Flat and Open FLRW Universes
• Relativistic Cosmological Perturbation Theory and the Evolution of Small-Scale Inhomogeneities