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| Natura: | Preprint |
| Pubblicazione: |
2010
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/1006.1614 |
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| _version_ | 1866915744692830208 |
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| author | Verwimp, Theo |
| author_facet | Verwimp, Theo |
| contents | First a review is given of Riemann-Cartan space-time and Einstein-Cartan gravity. This gives us the necessary tools to handle the SO(2,3) Yang-Mills gauge theory for gravity. Field equations are obtained from a Yang-Mills gauge field Lagrangian. From these field equations and the Bianchi identities the conservation laws for anti-de Sitter theory are derived. Possible solutions of the field equations are discussed. The only solution found for a RW-geometry with a perfect fluid matter content is the early universe. There are no Schwarzschild solutions of the torsion free vacuum field equations if curvature squared terms cannot be neglected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1006_1614 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | Anti-de Sitter gauge theory for gravity Verwimp, Theo General Relativity and Quantum Cosmology First a review is given of Riemann-Cartan space-time and Einstein-Cartan gravity. This gives us the necessary tools to handle the SO(2,3) Yang-Mills gauge theory for gravity. Field equations are obtained from a Yang-Mills gauge field Lagrangian. From these field equations and the Bianchi identities the conservation laws for anti-de Sitter theory are derived. Possible solutions of the field equations are discussed. The only solution found for a RW-geometry with a perfect fluid matter content is the early universe. There are no Schwarzschild solutions of the torsion free vacuum field equations if curvature squared terms cannot be neglected. |
| title | Anti-de Sitter gauge theory for gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/1006.1614 |