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Phys. Rev. D 80, 064015 (2009) [5 pages]

Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors

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C. Deffayet*
AstroParticule & Cosmologie, UMR 7164-CNRS, Université Denis Diderot-Paris 7, CEA, Observatoire de Paris, 10 rue Alice Domon et Léonie Duquet, F-75205 Paris Cedex 13, France

S. Deser
Physics Department, Brandeis University, Waltham, Massachusetts 02454, USA, and Lauritsen Laboratory, California Institute of Technology, Pasadena, California 91125, USA

G. Esposito-Farèse
GReCO, Institut d’Astrophysique de Paris, UMR 7095-CNRS, Université Pierre et Marie Curie-Paris 6, 98bis boulevard Arago, F-75014 Paris, France

Received 10 June 2009; published 10 September 2009

We extend to curved backgrounds all flat-space scalar field models that obey purely second-order equations, while maintaining their second-order dependence on both field and metric. This extension simultaneously restores to second order the, originally higher derivative, stress tensors as well. The process is transparent and uniform for all dimensions.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.80.064015
DOI:
10.1103/PhysRevD.80.064015
PACS:
04.50.−h, 11.10.−z, 98.80.−k

*deffayet@iap.fr

deser@brandeis.edu

gef@iap.fr