General relativity from three-forms in seven dimensions
We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere of a fixed radius. We show that the resulting 4D theory is (Riemannian) General Relativity (GR) in Plebanski formulation, modulo corrections th...
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| Format: | Article |
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Elsevier
2017
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| Online Access: | https://eprints.nottingham.ac.uk/44787/ |
| _version_ | 1848796997031559168 |
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| author | Krasnov, Kirill |
| author_facet | Krasnov, Kirill |
| author_sort | Krasnov, Kirill |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere of a fixed radius. We show that the resulting 4D theory is (Riemannian) General Relativity (GR) in Plebanski formulation, modulo corrections that are negligible for curvatures smaller than Planckian. Possibly the most interesting point of this construction is that the dimensionally reduced theory is GR with a non-zero cosmological constant, and the value of the cosmological constant is directly related to the size of . Realistic values of Λ correspond to of Planck size. |
| first_indexed | 2025-11-14T19:56:52Z |
| format | Article |
| id | nottingham-44787 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:56:52Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-447872020-05-04T19:05:54Z https://eprints.nottingham.ac.uk/44787/ General relativity from three-forms in seven dimensions Krasnov, Kirill We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere of a fixed radius. We show that the resulting 4D theory is (Riemannian) General Relativity (GR) in Plebanski formulation, modulo corrections that are negligible for curvatures smaller than Planckian. Possibly the most interesting point of this construction is that the dimensionally reduced theory is GR with a non-zero cosmological constant, and the value of the cosmological constant is directly related to the size of . Realistic values of Λ correspond to of Planck size. Elsevier 2017-09-10 Article PeerReviewed Krasnov, Kirill (2017) General relativity from three-forms in seven dimensions. Physics Letters B, 772 . pp. 300-305. ISSN 1873-2445 http://www.sciencedirect.com/science/article/pii/S0370269317304926 doi:10.1016/j.physletb.2017.06.025 doi:10.1016/j.physletb.2017.06.025 |
| spellingShingle | Krasnov, Kirill General relativity from three-forms in seven dimensions |
| title | General relativity from three-forms in seven dimensions |
| title_full | General relativity from three-forms in seven dimensions |
| title_fullStr | General relativity from three-forms in seven dimensions |
| title_full_unstemmed | General relativity from three-forms in seven dimensions |
| title_short | General relativity from three-forms in seven dimensions |
| title_sort | general relativity from three-forms in seven dimensions |
| url | https://eprints.nottingham.ac.uk/44787/ https://eprints.nottingham.ac.uk/44787/ https://eprints.nottingham.ac.uk/44787/ |