Anti-de Sitter gauge theory for gravity
Abstract
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.
Cite
@article{arxiv.1006.1614,
title = {Anti-de Sitter gauge theory for gravity},
author = {Theo Verwimp},
journal= {arXiv preprint arXiv:1006.1614},
year = {2026}
}
Comments
39 pages; In section 5.2 more detail is given in the calculation of the field equations. Section 6 (Discussion) has been added. Table of contents added. References extended and links added. Remarks Euler-form added