The dipole functions in quasispherical Szekeres models shift shells relative to each other and rotate their local frames by exact amounts, and the paper shows how these effects explain the models' geometry.
Cosmological models and misunderstandings about them
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abstract
Advantages of inhomogeneous cosmological models that are exact solutions of Einstein's equations over linearised perturbations of homogeneous models are presented. Examples of effects that can be described in the inhomogeneous ones are given: the non-repeatable light paths, the observed anisotropies in the cosmic microwave background, the redshift drift and the maximum diameter distance. Criticisms of inhomogeneous models that are based on misunderstandings or fallacious reasonings are pointed out and corrected; these include the "weak singularity", the positivity of deceleration "theorem", the "pathology" of redshift behaviour at the "critical point" and the alleged necessity of the bang time to be constant.
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gr-qc 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Physical geometry of the quasispherical Szekeres models
The dipole functions in quasispherical Szekeres models shift shells relative to each other and rotate their local frames by exact amounts, and the paper shows how these effects explain the models' geometry.