Published December 15, 2006
| Version v1
Journal article
Linear connections with a propagating spin-3 field in gravity
- 1. Institute for Theoretical Physics, University of Cologne, 50923 Koeln, Germany and Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, Missouri 65211 (United States)
- 2. Universite de Mons-Hainaut, Academie Wallonie-Bruxelles, Mecanique et Gravitation, Avenue du Champ de Mars 6, B-7000 Mons (Belgium)
- 3. Fachbereich Medien, Fachhochschule Duesseldorf, University of Applied Sciences, Josef-Gockeln-Str. 9, 40474 Duesseldorf (Germany)
Description
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
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.74.125009;
- arXiv
- arXiv:hep-th/0608122v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 74
- Journal Issue
- 12
- Journal Page Range
- p. 125009-125009.20
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38039327
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COSMOLOGY; EXACT SOLUTIONS; GAUGE INVARIANCE; GRAVITATION; LAGRANGIAN FUNCTION; METRICS; MINKOWSKI SPACE; NONLINEAR PROBLEMS; SHEAR; SPACE-TIME; SPIN; YANG-MILLS THEORY
- Descriptors DEC
- ANGULAR MOMENTUM; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; PARTICLE PROPERTIES; SPACE
Optional Information
- Notes
- (c) 2006 The American Physical Society