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Cosmological perfect fluids in higher-order gravity

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Abstract

We prove that in Robertson–Walker space-times (and in generalized Robertson–Walker spacetimes of dimension greater than 3 with divergence-free Weyl tensor) all higher-order gravitational corrections of the Hilbert–Einstein Lagrangian density \(F(R,\square R, \ldots , \square ^k R)\) have the form of perfect fluids in the field equations. This statement definitively allows to deal with dark energy fluids as curvature effects.

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Acknowledgements

S. C. acknowledges the support of INFN (iniziative specifiche TEONGRAV and QGSKY). This paper is based upon work from COST action CA15117 (CANTATA), supported by COST (European Cooperation in Science and Technology).

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Authors and Affiliations

  1. Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, Naples, Italy

    Salvatore Capozziello

  2. INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Naples, Italy

    Salvatore Capozziello

  3. Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, Russia, 634050

    Salvatore Capozziello

  4. I.I.S. Lagrange, Via L. Modignani 65, 20161, Milan, Italy

    Carlo Alberto Mantica

  5. INFN sez. di Milano, Via Celoria 16, 20133, Milan, Italy

    Carlo Alberto Mantica

  6. Dipartimento di Fisica “A. Pontremoli”, Università degli Studi di Milano, Milan, Italy

    Luca Guido Molinari

  7. INFN sez. di Milano, Via Celoria 16, 20133, Milan, Italy

    Luca Guido Molinari

Authors
  1. Salvatore Capozziello
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  2. Carlo Alberto Mantica
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  3. Luca Guido Molinari
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Correspondence to Salvatore Capozziello.

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Capozziello, S., Mantica, C.A. & Molinari, L.G. Cosmological perfect fluids in higher-order gravity. Gen Relativ Gravit 52, 36 (2020). https://doi.org/10.1007/s10714-020-02690-2

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