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
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 8 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. Expected redshift drift for tilted observers

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    Redshift drift for tilted observers consists of an FLRW background term plus directional corrections from peculiar expansion, projected shear, and acceleration along the line of sight.

  4. 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...

  5. 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.

  6. 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.

  7. Einstein-Cartan cosmology and the S8 problem

    physics.gen-ph 2025-02 unverdicted novelty 3.0

    Einstein-Cartan cosmology predicts much larger mass density and sigma_8(z) at high redshifts than LCDM, making the S8 discrepancy between CMB and low-redshift data a natural outcome rather than a problem.

  8. 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.