Conformal symmetry and accelerating cosmology in teleparallel gravity
Kazuharu BambaKobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, JapanSergei D. OdintsovInstituciò Catalana de Recerca i Estudis Avançats (ICREA), Barcelona 08010, SpainDiego Sáez-Chillón GómezAstrophysics, Cosmology and Gravity Centre (ACGC) and Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town, South Africa
2013en
ABI
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 $\ensuremath{\Lambda}\mathrm{CDM}$ 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 $\ensuremath{\Lambda}\mathrm{CDM}$ model. It is also shown that the de Sitter solution can exist in conformal torsion gravity.
Identifiers
Citations and references
Cited by 20 references