Linear connections with a propagating spin-3 field in gravity

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.125009· OSTI ID:20871506

Baekler, Peter; Boulanger, Nicolas; Hehl, Friedrich W ^[1]

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1. Fachbereich Medien, Fachhochschule Duesseldorf, University of Applied Sciences, Josef-Gockeln-Str. 9, 40474 Duesseldorf (Germany)

We show that Fronsdal's Lagrangian for a free massless spin-3 gauge field in Minkowski spacetime is contained in a general Yang-Mills-like Lagrangian of metric-affine gravity (MAG), the gauge theory of the general affine group in the presence of a metric. Because of the geometric character of MAG, this can best be seen by using Vasiliev's frame formalism for higher-spin gauge fields in which the spin-3 frame is identified with the tracefree nonmetricity one-form associated with the shear generators of GL(n,R). Furthermore, for specific gravitational gauge models in the framework of full nonlinear MAG, exact solutions are constructed, featuring propagating massless and massive spin-3 fields.

• OSTI ID: 20871506
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
EXACT SOLUTIONS
GAUGE INVARIANCE
GRAVITATION
LAGRANGIAN FUNCTION
METRICS
MINKOWSKI SPACE
NONLINEAR PROBLEMS
SHEAR
SPACE-TIME
SPIN
YANG-MILLS THEORY