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Spin-2 field theory in curved spacetime in the Fierz representation

M Novello et al 2002 Class. Quantum Grav. 19 5335-5351   doi: 10.1088/0264-9381/19/21/303  Help

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M Novello and R P Neves
Centro Brasileiro de Pesquisas Físicas, Rua Dr Xavier Sigaud 150, Urca 22290-180, Rio de Janeiro, RJ, Brazil
E-mail: novello@cbpf.br

Abstract. We present a new formulation to deal with the consistency problem of both massive and massless spin-2 fields in a curved spacetime. Using Fierz variables to represent the spin-2 field, we show how to avoid the arbitrariness and inconsistency that exist in the standard formulation of a spin-2 field coupled to gravity. The superiority of the Fierz frame appears explicitly in the combined set of equations for spin-2 field and gravity: it preserves the standard Einstein equations of motion, whilst maintaining the correct degrees of freedom for the spin-2 field.

PACS numbers: 0350K, 0420C

Print publication: Issue 21 (7 November 2002)
Received 19 August 2002
Published 7 October 2002

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