English

On Consistence of Material Coupling in a GL(3,R) Gauge Formulation of Gravity

General Relativity and Quantum Cosmology 2007-05-23 v3

Abstract

A covariant scheme for material coupling with GL(N,R)GL(N,R) gauge formulation of gravity is studied. We revisit a known idea of a Yang-Mills type construction, where quadratical power of cosmological constant have to be considered in consistence with vacuum Einstein's gravity. Then, matter coupling with gravity is introduced and some constraints on fields and background appear. Finally, exploring the N=3 case we elucidate that introduction of auxiliary fields decreases the number of these constraints.

Keywords

Cite

@article{arxiv.gr-qc/0201072,
  title  = {On Consistence of Material Coupling in a GL(3,R) Gauge Formulation of Gravity},
  author = {Rolando Gaitan},
  journal= {arXiv preprint arXiv:gr-qc/0201072},
  year   = {2007}
}

Comments

9 pages, LaTeX, title, and abstract changed. To appear in Mod.Phys.Lett.A, Vol. 18, No. 25 (2003) pp. 1753-1761