Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-01-22
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, LaTeX, title, and abstract changed. To appear in Mod.Phys.Lett.A, Vol. 18, No. 25 (2003) pp. 1753-1761
Scientific paper
A covariant scheme for material coupling with $GL(N,R)$ 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.
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