Cosmological models (Cargèse lectures 1998)

Abstract

The aim of this set of lectures is a systematic presentation of a 1+3 covariant approach to studying the geometry, dynamics, and observational properties of relativistic cosmological models. In giving (i) the basic 1+3 covariant relations for a cosmological fluid, the present lectures cover some of the same ground as a previous set of Cargèse lectures \cite{ell73}, but they then go on to give (ii) the full set of corresponding tetrad equations, (iii) a classification of cosmological models with exact symmetries, (iv) a brief discussion of some of the most useful exact models and their observational properties, and (v) an introduction to the gauge-invariant and 1+3 covariant perturbation theory of almost-Friedmann-Lema\^ıtre-Robertson-Walker universes, with a fluid description for the matter and a kinetic theory description of the radiation.

87 pages. Fully hyperlinked. Published in proceedings of the NATO Advanced Study Institute on Theoretical and Observational Cosmology, Cargèse, France, August 17-29, 1998 / edited by Marc Lachièze-Rey. Boston: Kluwer Academic, 1999. NATO science series. Series C, Mathematical and physical sciences, vol. 541, p.1-116

References in corpus (8)

• Homogeneous cosmologies with cosmological constant
• Cosmic microwave background anisotropies in the CDM model: a covariant and gauge-invariant approach
• Cosmic microwave background anisotropies: Nonlinear dynamics
• A covariant and gauge-invariant analysis of cosmic microwave background anisotropies from scalar perturbations
• Regular spherical dust spacetimes
• 1+3 Covariant Cosmic Microwave Background anisotropies I: Algebraic relations for mode and multipole representations
• Causal propagation of geometrical fields in relativistic cosmology
• Acoustic oscillations and viscosity

Cited by in corpus (45)

• Primordial magnetogenesis
• Relativistic cosmology and large-scale structure
• Light propagation in statistically homogeneous and isotropic dust universes
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Light propagation in statistically homogeneous and isotropic universes with general matter content
• Cosmology of a Scalar Field Coupled to Matter and an Isotropy-Violating Maxwell Field
• Average expansion rate and light propagation in a cosmological Tardis spacetime
• Gauge-flation and Cosmic No-Hair Conjecture
• Applicability of the linearly perturbed FRW metric and Newtonian cosmology
• Multipole decomposition of the general luminosity distance 'Hubble law' -- a new framework for observational cosmology
• Quasi-local variables in spherical symmetry: numerical applications to dark matter and dark energy sources
• Light propagation and the average expansion rate in near-FRW universes
• Geometrical order-of-magnitude estimates for spatial curvature in realistic models of the Universe
• A covariant treatment of cosmic parallax
• Rogues' gallery: the full freedom of the Bianchi CMB anomalies
• Relational evolution of effectively interacting GFT quantum gravity condensates
• A dynamical system approach to higher order gravity
• The clustering of gamma-ray bursts in the Hercules-Corona Borealis Great Wall: the largest structure in the Universe?
• Invariant characterization of the growing and decaying density modes in LTB dust models
• Density growth in Kantowski-Sachs cosmologies with cosmological constant
• On the evolution equations for ideal magnetohydrodynamics in curved spacetime
• Static compact objects in Einstein-Cartan theory
• Covariant gravitational dynamics in 3+1+1 dimensions
• Future asymptotics of tilted Bianchi type II cosmologies
• A dual null formalism for the collapse of fluids in a cosmological background
• Constructing black hole entropy from gravitational collapse
• Explicit harmonic and spectral analysis in Bianchi I-VII type cosmologies
• Review on the minimally extended varying speed of light model
• A global conformal extension theorem for perfect fluid Bianchi space-times
• Separating expansion from contraction and generalizing TOV condition in spherically symmetric models with pressure
• The quark-gluon plasma, turbulence, and quantum mechanics
• The perihelion of Mercury advance and the light bending calculated in (enhanced) Newton's theory
• Friction forces in cosmological models
• On the evolution equations for a self-gravitating charged scalar field
• Constraints on the minimally extended varying speed of light model using the Pantheon+ dataset
• On the 1+3 Formalism in General Relativity
• Current Trends in Mathematical Cosmology
• Exact and Perturbed Friedmann-Lemaitre Cosmologies
• de Sitterization via Kerr-Schild
• Gradient conformal stationarity and the CMC condition in LRS spacetimes
• Relativistic Cosmological Perturbation Theory and the Evolution of Small-Scale Inhomogeneities
• A discrete, finite multiverse
• Covariant Evolution of Gravitoelectromagnetism
• Perturbations of Kantowski-Sachs models
• The Level I Multiverse is not the same as the Level III Multiverse