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Advances in High Energy Physics
Volume 2015, Article ID 902396, 7 pages
Research Article

Weyl-Invariant Extension of the Metric-Affine Gravity

1Plasma Physics Research Center, Islamic Azad University, Science and Research Branch, Tehran 1477893855, Iran
2Department of Physics, Islamic Azad University, Central Tehran Branch, Tehran 8683114676, Iran
3Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia

Received 30 September 2014; Accepted 28 November 2014

Academic Editor: Anastasios Petkou

Copyright © 2015 R. Vazirian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


Metric-affine geometry provides a nontrivial extension of the general relativity where the metric and connection are treated as the two independent fundamental quantities in constructing the spacetime (with nonvanishing torsion and nonmetricity). In this paper, we study the generic form of action in this formalism and then construct the Weyl-invariant version of this theory. It is shown that, in Weitzenböck space, the obtained Weyl-invariant action can cover the conformally invariant teleparallel action. Finally, the related field equations are obtained in the general case.