Xin He Meng and Peng Wang 2003 Class. Quantum Grav. 20 4949 doi:10.1088/0264-9381/20/22/018
Xin He Meng1,2 and Peng Wang1
Show affiliationsRecently, corrections to the Einstein–Hilbert action that become important at small curvature have been proposed. We discuss the first-order and second-order approximations to the field equations derived by the Palatini variational principle. We work out the first- and second-order modified Friedmann equations and present the upper redshift bounds when these approximations are valid. We show that the second-order effects can be neglected in the cosmological predictions involving only the Hubble parameter, e.g. the various cosmological distances, but the second-order effects cannot be neglected in the predictions involving the derivatives of the Hubble parameter. Furthermore, the modified Friedmann equations fit the SNe Ia data at an acceptable level.
98.62.Py Distances, redshifts, radial velocities; spatial distribution of galaxies
98.80.Bp Origin and formation of the Universe
85A40 Cosmology (For relativistic cosmology, see 83F05)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 22 (21 November 2003)
Received 28 July 2003
Published 13 October 2003
Xin He Meng and Peng Wang 2003 Class. Quantum Grav. 20 4949
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