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Constraining f(R) gravity in the Palatini formalism

Thomas P Sotiriou

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Although several models of f(R) theories of gravity within the Palatini approach have been studied already, interest was concentrated on those that have an effect on the late-time evolution of the universe, by the inclusion for example of terms inversely proportional to the scalar curvature in the gravitational action. However, additional positive powers of the curvature also provide interesting early-time phenomenology, like inflation, and the presence of such terms in the action is equally, if not more, probable. In the present paper, models with both additional positive and negative powers of the scalar curvature are studied. Their effect on the evolution of the universe is investigated for all cosmological eras, and various constraints are put on the extra terms in the actions. Additionally, we examine the extent to which the new terms in positive powers affect the late-time evolution of the universe and the related observables, which also determines our ability to probe their presence in the gravitational action.


PACS

04.20.Cv Fundamental problems and general formalism

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

95.30.Sf Relativity and gravitation

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83F05 Cosmology

85A40 Cosmology (For relativistic cosmology, see 83F05)

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

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 4 (21 February 2006)

Received 6 December 2005

Published 3 February 2006



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