pith. sign in

arxiv: gr-qc/9812046 · v5 · submitted 1998-12-14 · 🌀 gr-qc

Cosmological models (Carg\`{e}se lectures 1998)

George F R Ellis , Henk van Elst (University of Cape Town) This is my paper
classification 🌀 gr-qc
keywords cosmologicallecturesmodelscovariantcargdescriptionexactfluid
0
0 comments X p. Extension
read the original 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 Carg\`{e}se 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\^{\i}tre-Robertson-Walker universes, with a fluid description for the matter and a kinetic theory description of the radiation.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gravitational edge mode powers galaxy flat rotation curves

    gr-qc 2026-04 unverdicted novelty 7.0

    Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.

  2. Eckart heat-flux applicability in $F(\Phi,X)R$ theories and the existence of temperature gradients

    gr-qc 2025-12 unverdicted novelty 7.0

    Eckart heat flux holds for all timelike scalar configurations in F(Φ,X)R + G theories if and only if F_X ≡ 0, reducing the theory to a Jordan-like subclass of Horndeski.

  3. Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework

    astro-ph.CO 2026-04 unverdicted novelty 6.0

    A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves wit...

  4. An essential building block for cosmological zoom-in perturbation theory

    astro-ph.CO 2026-01 unverdicted novelty 6.0

    A new multi-scale hierarchical framework in GR uses matter horizons to extend perturbation theory beyond shell-crossing by gluing spacetimes with opposite orientation.

  5. Gravitational edge mode powers galaxy flat rotation curves

    gr-qc 2026-04 unverdicted novelty 5.0

    Spacetime backreaction derived from gluing spacetime sheets across matter horizons modifies particle trajectories to source flat galaxy rotation curves.

  6. Cosmological peculiar velocities in general relativity

    astro-ph.CO 2026-03 accept novelty 2.0

    The 1+3 covariant formalism reproduces the standard result for peculiar velocity growth in cosmology and does not imply anomalous bulk flows or apparent acceleration.