From the early to the late time universe within \(f(T,\mathcal{T})\) gravity

  • S. B. Nassur
  • M. J. S. Houndjo
  • M. E. Rodrigues
  • A. V. Kpadonou
  • J. Tossa
Original Article

Abstract

In this paper we perform the reconstruction scheme of the gravitational action within \(f(T,\mathcal{T})\) gravity, where \(T\) and \(\mathcal{T}\) denote the torsion scalar and the trace of the energy momentum tensor, respectively. We particularly focus our attention on the case where the algebraic function \(f(T,\mathcal{T})\) is decomposed as a sum of two functions \(f_{1}(T)\) and \(f_{2}(\mathcal{T})\), i.e., \(f(T,\mathcal{T})=f_{1}(T)+f_{2}(\mathcal{T})\). The description is essentially based on the scale factor and then, we consider two interesting and realistic expressions of this parameter and reconstruct the action corresponding to each phase of the universe. Our results show that some \(f(T,\mathcal{T})\) models are able to describe the evolution of the universe from the inflation phase to the late time dark energy dominated phase.

Keywords

Modified gravity Reconstruction 

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • S. B. Nassur
    • 1
  • M. J. S. Houndjo
    • 1
    • 2
  • M. E. Rodrigues
    • 3
  • A. V. Kpadonou
    • 1
    • 4
  • J. Tossa
    • 1
  1. 1.Institut de Mathématiques et de Sciences Physiques (IMSP)Porto-NovoBenin
  2. 2.Faculté des Sciences et Techniques de NatitingouUniversité de ParakouParakouBenin
  3. 3.Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do ParáCampus Universitário de AbaetetubaAbaetetubaBrazil
  4. 4.Ecole Normale Supérieure de NatitingouUniversité de ParakouParakouBenin

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