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Cosmological evolution in f(T, B) gravity

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Abstract

For the fourth-order teleparallel \(f\left( T,B\right) \) theory of gravity, we investigate the cosmological evolution for the universe in the case of a spatially flat Friedmann–Lemaître–Robertson–Walker background space. We focus on the case for which \(f\left( T,B\right) \) is separable, that is, \(f\left( T,B\right) _{,TB}=0\) and \(f\left( T,B\right) \) is a nonlinear function on the scalars T and B. For this fourth-order theory, we use a Lagrange multiplier to introduce a scalar field function which attributes the higher-order derivatives. In order to perform the analysis of the dynamics, we use dimensionless variables which allow the Hubble function to change sign. The stationary points of the dynamical system are investigated both in the finite and infinite regimes. The physical properties of the asymptotic solutions and their stability characteristics are discussed.

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Acknowledgements

The research of AP and GL was funded by Agencia Nacional de Investigación y Desarrollo - ANID through the program FONDECYT Iniciación Grant No. 11180126. Additionally, GL was funded by Vicerrectoría de Investigación y Desarrollo Tecnológico at Universidad Católica del Norte.

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Authors and Affiliations

  1. Institute of Systems Science, Durban University of Technology, Durban, 4000, South Africa

    Andronikos Paliathanasis

  2. Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile

    Andronikos Paliathanasis

  3. Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla, 1280, Antofagasta, Chile

    Genly Leon

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  1. Andronikos Paliathanasis
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  2. Genly Leon
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Correspondence to Genly Leon.

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Paliathanasis, A., Leon, G. Cosmological evolution in f(T, B) gravity. Eur. Phys. J. Plus 136, 1092 (2021). https://doi.org/10.1140/epjp/s13360-021-02071-x

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