Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2010
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1006.1614 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of 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.