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- Title
Spatial averaging and apparent acceleration in inhomogeneous spaces.
- Authors
Romano, Antonio; Sasaki, Misao
- Abstract
As an alternative to dark energy that explains the observed acceleration of the universe, it has been suggested that we may be at the center of an inhomogeneous isotropic universe described by a Lemaitre-Tolman-Bondi (LTB) solution of Einstein's field equations. To test this possibility, it is necessary to solve the null geodesics. In this paper we first give a detailed derivation of a fully analytical set of differential equations for the radial null geodesics as functions of the redshift in LTB models. As an application we use these equaions to show that a positive averaged acceleration a obtained in LTB models through spatial averaging can be incompatible with cosmological observations. We provide examples of LTB models with positive a which fail to reproduce the observed luminosity distance D( z). Since the apparent cosmic acceleration a is obtained from fitting the observed luminosity distance to a FLRW model we conclude that in general a positive a in LTB models does not imply a positive a.
- Subjects
DARK energy; EINSTEIN field equations; DIFFERENTIAL equations; GEODESICS; LUMINOSITY distance
- Publication
General Relativity & Gravitation, 2012, Vol 44, Issue 2, p353
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-011-1277-4