Weyl-Invariant Extension of the Metric-Affine Gravity
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...
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| Format: | Article |
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Hindawi Publishing Corporation
2015
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| author | Vazirian, R. Tanhayi, M.R. Motahar, Z.A. |
| author_facet | Vazirian, R. Tanhayi, M.R. Motahar, Z.A. |
| author_sort | Vazirian, R. |
| collection | UM |
| description | 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. |
| first_indexed | 2024-03-06T05:48:29Z |
| format | Article |
| id | um.eprints-19502 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:48:29Z |
| publishDate | 2015 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | um.eprints-195022018-10-01T05:00:01Z http://eprints.um.edu.my/19502/ Weyl-Invariant Extension of the Metric-Affine Gravity Vazirian, R. Tanhayi, M.R. Motahar, Z.A. Q Science (General) QC Physics 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. Hindawi Publishing Corporation 2015 Article PeerReviewed Vazirian, R. and Tanhayi, M.R. and Motahar, Z.A. (2015) Weyl-Invariant Extension of the Metric-Affine Gravity. Advances in High Energy Physics, 2015. pp. 1-7. ISSN 1687-7357, DOI https://doi.org/10.1155/2015/902396 <https://doi.org/10.1155/2015/902396>. http://dx.doi.org/10.1155/2015/902396 doi:10.1155/2015/902396 |
| spellingShingle | Q Science (General) QC Physics Vazirian, R. Tanhayi, M.R. Motahar, Z.A. Weyl-Invariant Extension of the Metric-Affine Gravity |
| title | Weyl-Invariant Extension of the Metric-Affine Gravity |
| title_full | Weyl-Invariant Extension of the Metric-Affine Gravity |
| title_fullStr | Weyl-Invariant Extension of the Metric-Affine Gravity |
| title_full_unstemmed | Weyl-Invariant Extension of the Metric-Affine Gravity |
| title_short | Weyl-Invariant Extension of the Metric-Affine Gravity |
| title_sort | weyl invariant extension of the metric affine gravity |
| topic | Q Science (General) QC Physics |
| work_keys_str_mv | AT vazirianr weylinvariantextensionofthemetricaffinegravity AT tanhayimr weylinvariantextensionofthemetricaffinegravity AT motaharza weylinvariantextensionofthemetricaffinegravity |