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f(R) theories of gravity in the Palatini approach matched with observations

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Abstract

We investigate the viability of f(R) theories in the framework of the Palatini approach as solutions to the problem of the observed accelerated expansion of the universe. Two physically motivated popular choices for f(R) are considered,: power law, f(R) = β R n, and logarithmic, f(R) = α ln R. Under the Palatini approach, both Lagrangians give rise to cosmological models comprising only standard matter and undergoing a present phase of accelerated expansion. We use the Hubble diagram of type Ia Supernovae and the data on the gas mass fraction in relaxed galaxy clusters to see whether these models are able to reproduce what is observed and to constrain their parameters. It turns out that they are indeed able to fit the data with values of the Hubble constant and of the matter density parameter in agreement with some model independent estimates, but the today deceleration parameter is higher than what is measured in the concordance ΛCDM model.

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Authors and Affiliations

  1. Dipartimento di Scienze Fisiche, Università di Napoli “Federico II,” and INFN, Sez. di Napoli, Compl.,via Cinthia Univ. Monte S. Angelo, Ed. N, 80121, Napoli, Italy

    S. Capozziello

  2. Dipartimento di Fisica “E.R. Caianiello,”, Università di Salerno and INFN, Sez. di Napoli, Gruppo Coll. di Salerno via S. Allende, 84081-Baronissi, (Salerno), Italy

    V. F. Cardone

  3. Dipartimento di Matematica, Università di Torino Via C. Alberto 10, 10123, Torino, Italy

    M. Francaviglia

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  1. S. Capozziello
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  3. M. Francaviglia
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Correspondence to S. Capozziello.

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Capozziello, S., Cardone, V.F. & Francaviglia, M. f(R) theories of gravity in the Palatini approach matched with observations. Gen Relativ Gravit 38, 711–734 (2006). https://doi.org/10.1007/s10714-006-0261-x

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