Non-consistency of a pure Yang-Mills type formulation for gravity revisited

Details Non-consistency of a pure Yang-Mills type formulation for gravity revisited Non-consistency of a pure Yang-Mills type formulation for gravity revisited

2009-07-25

arxiv.org/abs/0907.4404v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

A perturbative regime based on contorsion as a dynamical variable and metric as a (classical) fixed background, is performed in the context of a pure Yang-Mills formulation based on $GL(3,R)$ gauge group. In the massless case we show that the theory propagates three degrees of freedom and only one is a non-unitary mode. Next, we introduce quadratical terms dependent on torsion, which preserve parity and general covariance. The linearized version reproduces an analogue Hilbert-Einstein-Fierz-Pauli unitary massive theory plus three massless modes, two of them non-unitary ones.

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