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.
Large Scale Inhomogeneity Versus Source Evolution -- Can We Distinguish Them Observationally?
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abstract
We reconsider the issue of proving large scale spatial homogeneity of the universe, given isotropic observations about us and the possibility of source evolution both in numbers and luminosities. Two theorems make precise the freedom available in constructing cosmological models that will fit the observations. They make quite clear that homogeneity cannot be proven without either a fully determinate theory of source evolution, or availability of distance measures that are independent of source evolution. We contrast this goal with the standard approach that assumes spatial homogeneity a priori, and determines source evolution functions on the basis of this assumption.
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gr-qc 1years
2019 1verdicts
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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.