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The present universe in the Einstein frame, metric-affine R + 1/R gravity

Nikodem J Popławski

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We study the present, flat isotropic universe in 1/R-modified gravity. We use the Palatini (metric-affine) variational principle and the Einstein (metric-compatible connected) conformal frame. We show that the energy density scaling deviates from the usual scaling for nonrelativistic matter, and the largest deviation occurs in the present epoch. We find that the current deceleration parameter derived from the apparent matter density parameter is consistent with observations. There is also a small overlap between the predicted and observed values for the redshift derivative of the deceleration parameter. The predicted redshift of the deceleration-to-acceleration transition agrees with that in the ΛCDM model but it is larger than the value estimated from SNIa observations.


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

98.80.Jk Mathematical and relativistic aspects of cosmology

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 15 (7 August 2006)

Received 22 January 2006, in final form 23 June 2006

Published 6 July 2006



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