Lemaitre-Tolman-Bondi model and accelerating expansion

Details Lemaitre-Tolman-Bondi model and accelerating expansion Lemaitre-Tolman-Bondi model and accelerating expansion

2007-09-13

arxiv.org/abs/0709.2044v1

Gen.Rel.Grav.40:451-466,2008

Astronomy and Astrophysics

Astrophysics

Invited Review for a special Gen. Rel. Grav. issue on Dark Energy. 17 pages, 3 figures

Scientific paper

10.1007/s10714-007-0553-9

I discuss the spherically symmetric but inhomogeneous Lemaitre-Tolman- Bondi (LTB) metric, which provides an exact toy model for an inhomogeneous universe. Since we observe light rays from the past light cone, not the expansion of the universe, spatial variation in matter density and Hubble rate can have the same effect on redshift as acceleration in a perfectly homogeneous universe. As a consequence, a simple spatial variation in the Hubble rate can account for the distant supernova data in a dust universe without any dark energy. I also review various attempts towards a semirealistic description of the universe based on the LTB model.

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