Constraining f ( R ) theories with cosmography

A method to set constraints on the parameters of extended theories of gravitation is presented. It is based on the comparison of two series expansions of any observable that depends on H(z). The first expansion is of the cosmographical type, while the second uses the dependence of H with z furnished...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2013-08, Vol.2013 (8), p.1-12
Main Authors: Pannia, Florencia Anabella Teppa, Bergliaffa, Santiago Esteban Perez
Format: Article
Language:English
Subjects:
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COMPARATIVE EVALUATIONS
Compatibility
Constraining
COSMOLOGICAL MODELS
COSMOLOGY
Drift
GRAVITATION
LIMITING VALUES
RED SHIFT
SERIES EXPANSION
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Summary:A method to set constraints on the parameters of extended theories of gravitation is presented. It is based on the comparison of two series expansions of any observable that depends on H(z). The first expansion is of the cosmographical type, while the second uses the dependence of H with z furnished by a given type of extended theory. When applied to f(R) theories together with the redshift drift, the method yields limits on the parameters of two examples (the theory of Hu and Sawicki [1], and the exponential gravity introduced by Linder [2]) that are compatible with or more stringent than the existing ones, as well as a limit for a previously unconstrained parameter.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2013/08/030