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Nonminimal torsion-matter coupling extension of f(T) gravity

Tiberiu Harko1,*, Francisco S. N. Lobo2,†, G. Otalora3,‡, and Emmanuel N. Saridakis4,5,§

  • 1Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
  • 2Centro de Astronomia e Astrofísica da Universidade de Lisboa, Campo Grande, Edificío C8, 1749-016 Lisboa, Portugal
  • 3Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Caixa Postal 36036-330, Minas Gerais, Brazil
  • 4Physics Division, National Technical University of Athens, 15780 Zografou Campus, Athens, Greece
  • 5Instituto de Física, Pontificia Universidad de Católica de Valparaíso, Casilla 4950, Valparaíso, Chile

  • *t.harko@ucl.ac.uk
  • †flobo@cii.fc.ul.pt
  • ‡gotalora@fisica.ufjf.br
  • §Emmanuel\_Saridakis@baylor.edu
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Phys. Rev. D 89, 124036 – Published 30 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.124036

Abstract

We construct an extension of f(T) gravity with the inclusion of a nonminimal torsion-matter coupling in the action. The resulting theory is a novel gravitational modification, since it is different from both f(T) gravity, as well as from the nonminimal curvature-matter-coupled theory. The cosmological application of this new theory proves to be very interesting. In particular, we obtain an effective dark energy sector whose equation-of-state parameter can be quintessence- or phantom-like, or exhibit the phantom-divide crossing, while for a large range of the model parameters the universe enters in a de Sitter, dark-energy-dominated, accelerating phase. Additionally, we can obtain early-time inflationary solutions too, and thus provide a unified description of the cosmological history.

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Phys. Rev. D 89, 124036– Published 30 June, 2014
  • Received 24 April 2014

© 2014 American Physical Society

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