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.
Nonlinear Structure Formation and "Apparent" Acceleration: an Investigation
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abstract
We present an analytically solvable nonlinear model of structure formation in a Universe with only dust. The model is an LTB solution (of General Relativity) and structures are shells of different density. We show that the luminosity distance-redshift relation has significant corrections at low redshift when the density contrast becomes nonlinear. A minimal effect is a correction in apparent magnitudes of order 0.15. We discuss different possibilities that could further enhance this effect and mimick Dark Energy.
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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.