On the Dirac field in the Palatini form of 1/R gravity

Journal Article · Tue Feb 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.044020· OSTI ID:20706026

Vollick, Dan N ^[1]

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1. Department of Physics and Astronomy and Department of Mathematics and Statistics, Okanagan University College, 3333 University Way, Kelowna, B.C. V1V 1V7 (Canada)

In recent papers [D. N. Vollick, Phys. Rev. D 68, 063510 (2003)][D. N. Vollick, Classical Quantum Gravity 21, 3813 (2004).] I have argued that the observed cosmological acceleration can be accounted for by the inclusion of a 1/R term in the gravitational action in the Palatini formalism. Subsequently, Flanagan [Phys. Rev. Lett. 92, 071101 (2004)][Class. Quant. Grav. 21, 3817 (2004)] argued that this theory is equivalent to a scalar-tensor theory which produces corrections to the standard model that are ruled out experimentally. In this article I examine the Dirac field coupled to 1/R gravity. The Dirac action contains the connection which was taken to be the Christoffel symbol, not an independent quantity, in the papers by Flanagan. Since the metric and connection are taken to be independent in the Palatini approach it is natural to allow the connection that appears in the Dirac action to be an independent quantity. This is the approach that is taken in this paper. The resulting theory is very different and much more complicated than the one discussed in Flanagan's papers.

• OSTI ID: 20706026
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCELERATION
ACTION INTEGRAL
CORRECTIONS
COSMOLOGY
GENERAL RELATIVITY THEORY
GRAVITATION
QUANTUM GRAVITY
SCALARS
STANDARD MODEL
TENSORS