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17 - Relativistic cosmology II: the Robertson–Walker geometry

from Part II - The theory of gravitation

Published online by Cambridge University Press:  30 May 2024

Jerzy Plebanski
Affiliation:
National Polytechnic Institute of Mexico
Andrzej Krasinski
Affiliation:
Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences
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Summary

The Robertson–Walker metrics are presented as the simplest candidates for the models of our observed Universe. The Friedmann solutions of the Einstein equations (which follow when a R–W metric is taken as an ansatz), with and without the cosmological constant, are derived and discussed in detail. The Milne–McCrea Newtonian analogues of the Friedmann models are derived. Horizons in the R–W models are discussed following the classical Rindler paper. The conceptual basis of the inflationary models is critically reviewed.

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Publisher: Cambridge University Press
Print publication year: 2024

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