Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity

  • M. E. Rodrigues
  • A. V. Kpadonou
  • F. Rahaman
  • P. J. Oliveira
  • M. J. S. Houndjo
Original Article

Abstract

In the context of modified tele-parallel theory of gravity, we undertake cosmological anisotropic models and search for their solutions. Within a suitable choice of non-diagonal tetrads, the decoupled equations of motion are obtained for Bianchi-I, Bianchi-III and Kantowski-Sachs models, from which we obtain the correspondent solutions. By the way, energy density and pressures are also obtained, showing, as an important result, that our universe may live a quintessence like universe even while anisotropic models are considered.

Keywords

f(T) gravity Anisotropic models 

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • M. E. Rodrigues
    • 1
    • 6
  • A. V. Kpadonou
    • 6
    • 2
  • F. Rahaman
    • 3
  • P. J. Oliveira
    • 4
  • M. J. S. Houndjo
    • 6
    • 5
  1. 1.Faculdade de Ciências Exatas e TecnologiaUniversidade Federal do ParáAbaetetubaBrazil
  2. 2.Ecole Normale Supérieure de NatitingouUniversité de ParakouNatitingouBénin
  3. 3.Department of MathematicsJadavpur UniversityKolkataIndia
  4. 4.Instituto Federal de EducaçãoCiência e Tecnologia do Espírito SantoCachoeiro de ItapemirimBrazil
  5. 5.Faculté des Sciences et TechniquesUniversité de ParakouNatitingouBénin
  6. 6.Institut de Mathématiques et de Sciences Physiques (IMSP)Porto-NovoBénin

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