Conformal symmetry and accelerating cosmology in teleparallel gravity

By Kazuharu Bamba, Sergei D. Odintsov, D. S'aez-G'omez. 2013

142 citations recorded by the source corpus.

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 $\Lambda$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 $\Lambda$CDM model. It is also shown that there can exist the de Sitter solution in conformal torsion gravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d85ebedda6fc4040a2d2c17095fec4f99dda78d0

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

f(T) teleparallel gravity and cosmology (2015, background): “Firstly, the f(T ) gravity cannot be reformulated as a teleparallel action plus a scalar field through the conformal transformation due to the appearance of additional scalar-torsion coupling terms [253] (see also [254]).”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, methodology): “[96] K.”