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Primordial magnetic fields in theories of gravity with non-minimal coupling between curvature and matter

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Abstract

The existence of magnetic fields in the universe is unmistakable. They are observed at all scales from stars to galaxy clusters. However, the origin of these fields remains enigmatic. It is believed that magnetic field seeds may have emerged from inflation, under certain conditions. This possibility is analised in the context of an alternative theory of gravity with non-minimal coupling between curvature and matter. We find, through the solution of the generalised Maxwell equations in the context of non-minimal models, that for general slow-roll inflationary scenarios with low reheating temperatures, \(T_{RH}\simeq 10^{10}\hbox {GeV}\), the generated magnetic fields can be made compatible with observations at large scales, \(\lambda \sim 1 Mpc\).

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Acknowledgements

FCM thanks support from FCT/Portugal through CAMGSD, IST-ID, project UIDB/04459/2020 and UIDP/04459/2020 as well as CMAT, Univ. Minho, through project UIDB/00013/2020 and UIDP/00013/2020 and FEDER Funds COMPETE.

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Authors and Affiliations

  1. Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    Orfeu Bertolami & Maria Margarida Lima

  2. CEOS.PP, ISCAP, Polytechnic of Porto, Porto, Portugal

    Maria Margarida Lima

  3. Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, University Lisboa, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal

    Filipe C. Mena

  4. Centro de Matemática, Universidade do Minho, 4710-057, Braga, Portugal

    Filipe C. Mena

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  1. Orfeu Bertolami
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Correspondence to Orfeu Bertolami.

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Bertolami, O., Lima, M.M. & Mena, F.C. Primordial magnetic fields in theories of gravity with non-minimal coupling between curvature and matter. Gen Relativ Gravit 54, 82 (2022). https://doi.org/10.1007/s10714-022-02968-7

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