Covariant Galileon

2009/01/09 by Cédric Deffayet, C. Deffayet, Gilles Esposito-Farèse +3 · 1 voice · 6 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.79.084003

openalex publication_date 2009/04/03 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/29

Abstract

We consider the recently introduced ``Galileon'' field in a dynamical spacetime. When the Galileon is assumed to be minimally coupled to the metric, we underline that both field equations of the Galileon and the metric involve up to third-order derivatives. We show that a unique nonminimal coupling of the Galileon to curvature eliminates all higher derivatives in all field equations, hence yielding second-order equations, without any extra propagating degree of freedom. The resulting theory breaks the generalized ``Galilean'' invariance of the original model.

Citations

• xPerm: fast index canonicalization for tensor computer algebra
• Degravitation of the cosmological constant and graviton width

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Discussions

• Here is a woefully incomplete and probably biased attempt to give a crash course on Galileons. I'll also just state up front my knowledge is a little out of date (my serious following of this story en [stackexchange, 7 points]

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