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New Bianchi type I cosmological solutions in Eddington-inspired-Born-Infeld theory

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Abstract

We consider spherically symmetric metric tensor g, auxiliary tensor q and scalar field \(\psi \) in Eddington-inspired-Born-Infeld theory. We first recall the system of nonlinear partial differential equations derived in a previous work by Tadmon (Gen Relativ Gravit 51:15. https://doi.org/10.1007/s10714-018-2495-9, 2019). Then assuming that the space time metric g, the auxiliary metric q and the scalar field depend only on the time coordinate, we deduce a system of nonlinear ordinary differential equations that we solve under specific assumptions to derive, by using elliptic integrals, new conformal Bianchi type I cosmological solutions together with a scalar field.

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Acknowledgements

C. Tadmon acknowledges support from the Abdus Salam International Centre for Theoretical Physics (ICTP, Trieste-Italy) through Associateship programme. He also thanks Professor Burin Gumjudpai for a discussion on EiBI gravity. Moreover, the authors thank the anonymous reviewers for their helpful suggestions that improved the quality of this paper.

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Authors and Affiliations

  1. Departement of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

    Calvin Tadmon & Guichard Djiodjo-Seugmo

  2. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste, 34151, Italy

    Calvin Tadmon

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  1. Calvin Tadmon
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  2. Guichard Djiodjo-Seugmo
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Correspondence to Calvin Tadmon.

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Tadmon, C., Djiodjo-Seugmo, G. New Bianchi type I cosmological solutions in Eddington-inspired-Born-Infeld theory. Afr. Mat. 32, 555–566 (2021). https://doi.org/10.1007/s13370-020-00844-8

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  • DOI: https://doi.org/10.1007/s13370-020-00844-8

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