Weyl-Invariant Extension of the Metric-Affine Gravity. (20th January 2015)

• Record Type: Journal Article
• Authors: Vazirian, R.; Tanhayi, M. R.; Motahar, Z. A.
• Other Names: Petkou Anastasios Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2015(2015)
• Publication Date: 2015-01-20
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2015/902396
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : 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.