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Brane inflation and the robustness of the Starobinsky inflationary model

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Abstract

The first inflationary model conceived was the one proposed by Starobinsky which includes an additional term quadratic in the Ricci-scalar R in the Einstein–Hilbert action. The model is now considered a target for several future cosmic microwave background experiments given its compatibility with current observational data. In this paper, we analyse the robustness of the Starobinsky inflation by inserting it into a generalized scenario based on a \(\beta \)-Starobinsky inflation potential, which is motivated through brane inflation. In the Einstein frame, the generalized model recovers the original model for \(\beta = 0\), whereas \(\forall \beta \ne 0\) represents an extended class of models that admit a wider range of solutions. We investigate limits on \(\beta \) from current cosmic microwave background and baryonic acoustic oscillation data and find that only a small deviation from the original scenario is allowed, \(\beta =-0.08 \pm 0.12\) (\(68\%\) C.L.), which is fully compatible with zero and confirms the robustness of the Starobinsky inflationary model in light of current observations.

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Acknowledgements

S. Santos da Costa acknowledges financial support from the Programa de Capacitação Institucional (PCI) do Observatório Nacional/MCTI. M. Benetti acknowledges Istituto Nazionale di Fisica Nucleare (INFN), sezione di Napoli, iniziativa specifica QGSKY. R.M.P. Neves is supported by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES). F.A. Brito acknowledges support from Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq (Grant no. 312104/2018-9) and PRONEX/CNPq/FAPESQ-PB (Grant no. 165/2018). R. Silva acknowledges financial support from CNPq (Grant No. 303613/2015-7). J. Alcaniz is supported by CNPq (Grants no. 310790/2014-0 and 400471/2014-0) and Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro FAPERJ (grant no. 233906). We also acknowledge the authors of the ModeCode (M. Mortonson, H. Peiris and R. Easther) and CosmoMC (A. Lewis) codes. This work was developed thanks to the High Performance Computing Center at the Universidade Federal do Rio Grande do Norte (NPAD/UFRN) and the Observatório Nacional Data Center (DCON).

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Authors and Affiliations

  1. Departamento de Astronomia, Observatório Nacional, Rio de Janeiro, RJ, 20921-400, Brasil

    S. Santos da Costa & J. Alcaniz

  2. Dipartimento di Fisica ‘E. Pancini’, Universitá di Napoli ‘Federico II’, Complesso Universitario di Monte S.Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

    M. Benetti

  3. Istituto Nazionale di Fisica Nucleare (INFN) Sez. di Napoli, Complesso Universitario di Monte S.Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

    M. Benetti

  4. Scuola Superiore Meridionale, Università di Napoli “Federico II”, Largo San Marcellino 10, 80138, Napoli, Italy

    M. Benetti

  5. Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-970, Brasil

    R. M. P. Neves & F. A. Brito

  6. Unidade Acadêmica de Física, Universidade Federal de Campina Grande, Campina Grande, PB, 58109-970, Brasil

    F. A. Brito

  7. Departamento de Física, Universidade Federal do Rio Grande do Norte, Natal, RN, 59072-970, Brasil

    R. Silva

  8. Departamento de Física, Universidade do Estado do Rio Grande do Norte, Mossoró, 59610-210, Brasil

    R. Silva

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  1. S. Santos da Costa
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  2. M. Benetti
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  3. R. M. P. Neves
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  4. F. A. Brito
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  5. R. Silva
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  6. J. Alcaniz
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Correspondence to S. Santos da Costa.

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Focus Point on Modified Gravity Theories and Cosmology Guest editors: S. Capozziello, V. Gurzadyan.

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Santos da Costa, S., Benetti, M., Neves, R.M.P. et al. Brane inflation and the robustness of the Starobinsky inflationary model. Eur. Phys. J. Plus 136, 84 (2021). https://doi.org/10.1140/epjp/s13360-020-01015-1

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-01015-1

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