Nikodem J Popławski 2006 Class. Quantum Grav. 23 2011 doi:10.1088/0264-9381/23/6/011
Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity
Nikodem J Popławski
Show affiliationsWe show that inflation and current cosmic acceleration can be generated by a metric-affine f(R) gravity formulated in the Einstein conformal frame, if the gravitational Lagrangian L(R) contains both positive and negative powers of the curvature scalar R. In this frame, we give the equations for the expansion of the homogeneous and isotropic matter-dominated universe in the case 
, where α and β are constants. We also show that gravitational effects of matter in such a universe at very late stages of its expansion are weakened by a factor that tends to 3/4, and the energy density of matter 
scales the same way as in the ΛCDM model only when κ 
α.
- PACS
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04.50.-h Higher-dimensional gravity and other theories of gravity
- MSC
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85A40 Cosmology (For relativistic cosmology, see 83F05)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 6 (21 March 2006)
Received 8 October 2005, in final form 23 January 2006
Published 28 February 2006
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Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity
Nikodem J Popławski 2006 Class. Quantum Grav. 23 2011
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