Nonlinear Structure Formation and "Apparent" Acceleration: an Investigation

Alessio Notari (McGill U.); Reza Mansouri (Sharif U.); Tirthabir Biswas (McGill U.)

Nonlinear Structure Formation and "Apparent" Acceleration: an Investigation

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arxiv astro-ph/0606703 v2 pith:QTN2BR3I submitted 2006-06-28 astro-ph gr-qchep-th

Tirthabir Biswas (McGill U.) , Reza Mansouri (Sharif U.) , Alessio Notari (McGill U.) This is my paper · ORCID

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keywords nonlinearapparentdensitydifferenteffectformationmodelstructure

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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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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.

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