Conformal symmetry and accelerating cosmology in teleparallel gravity

Kazuharu Bamba, Sergei D. Odintsov, and Diego Sáez-Gómez
Phys. Rev. D 88, 084042 – Published 25 October 2013

Abstract

We discuss conformal issues of pure and extended teleparallel gravity. In particular, we present formulations of conformal transformation in teleparallel gravity. Furthermore, we propose conformal scalar and gauge field theories in teleparallel gravity and study conformal torsion gravity. We explicitly demonstrate that a power-law acceleration (including the ΛCDM universe) as well as the de Sitter expansion of the Universe can be realized in extended teleparallel gravity with a conformal scalar field, and that pure teleparallel gravity with a conformal scalar field can lead to the ΛCDM model. It is also shown that the de Sitter solution can exist in conformal torsion gravity.

  • Received 27 August 2013

DOI:https://doi.org/10.1103/PhysRevD.88.084042

© 2013 American Physical Society

Authors & Affiliations

Kazuharu Bamba1,*, Sergei D. Odintsov1,2,3,4,†, and Diego Sáez-Gómez1,5,6,‡

  • 1Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan
  • 2Instituciò Catalana de Recerca i Estudis Avançats (ICREA), Barcelona 08010, Spain
  • 3Institut de Ciencies de l’Espai (CSIC-IEEC), Campus UAB, Facultat de Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra (Barcelona), Spain
  • 4Tomsk State Pedagogical University, Tomsk 634041, Russia
  • 5Astrophysics, Cosmology and Gravity Centre (ACGC) and Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town, South Africa
  • 6Fisika Teorikoaren eta Zientziaren Historia Saila, Zientzia eta Teknologia Fakultatea, Euskal Herriko Unibertsitatea, 644 Posta Kutxatila, 48080 Bilbao, Spain

  • *bamba@kmi.nagoya-u.ac.jp
  • odintsov@ieec.uab.es
  • diego.saezgomez@uct.ac.za

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Issue

Vol. 88, Iss. 8 — 15 October 2013

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