Exceptional Lagrangians for spin-\(2\) field: Standard variables
type: Item
instance of: scholarly article
zbMATH Open document ID: 0981.83044
DOI: 10.1063/1.533215
author: Luciane R. de Freitas
published in: Journal of Mathematical Physics
publication date: 2001-08-30T00:00:00Z
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 81V17
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 1639096
zbMATH Keywords: Lagrangian
zbMATH Keywords: spin-2 fields
zbMATH Keywords: Lax method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1063/1.533215
OpenAlex ID: W2014285150
cites work: Hyperbolic systems of conservation laws II
cites work: Nonlinear theories of spin-2 field in terms of Fierz variables
cites work: Cosmic Rays and the New Field Theory
cites work: Do gravitational waves travel at light velocity?
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title: Exceptional Lagrangians for spin-\(2\) field: Standard variables
review text: The paper proposes an approach based on the Lax method [\textit{P. D. Lax}, Commun. Pure Appl. Math. 10, 537-566 (1957; Zbl 0081.08803)] of spin-2 field theories, in terms of the standard second-order tensor. A similar approach, using the Fierz potential, is given by the author in [J. Math. Phys. 35, No. 2, 734-747 (1994; Zbl 0802.53038)].NEWLINENEWLINENEWLINEAfter a short review of the Lax method, some independent invariants are constructed and a new form of the usual linear theory which involves two of the invariants is obtained, very similar to the Maxwell electrodynamics formulation. A set of exceptional Lagrangians in terms of the standard second-order tensor is finally obtained.
description: scientific article; zbMATH DE number 1639096