Covariant Galileon

By Cedric Deffayet, G. Esposito-Farèse, A. Vikman. 2009

849 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/314f84eff05664da6e549a66510b1f2f058a7981

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Citations in the corpus

Dressing a black hole with a time-dependent Galileon (2013, result): “Horndeski constructed his theory by brute force early on in the 70’s but the same result was obtained by studying Galileons in a more intuitive manner in [4–6].”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, unknown): “For the subset of beyond Horndeski theories corresponding to the so-called G3 galileons [137] (a generalization of the covariant quartic galileon G2 [140]), it has been shown by Koyama and Sakstein [141] that the generalized Lane-Emden equation in this case takes the form 1 ξ2 d dξ [”
hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System (2016, background): “[19, 20], kinetic gravity braiding [21–23], covariant galileons [11, 24], disformal and Dirac-Born-Infeld gravity [25–27], Chameleons [28, 29], symmetrons [30, 31], Gauss-Bonnet couplings [32] and models screening the cosmological constant [33, 34].”
Generalized Proca action for an Abelian vector field (2015, background): “Along the line of modifying gravity in a scalar-tensor way, many proposals have been made to write down theories whose dynamics stem from second order equations of motion for both the tensor and the scalar degrees of freedom [1–5], thus generalizing an old proposal [6]; such theories have been dubbe”
Imperfect Dark Energy from Kinetic Gravity Braiding (2010, background): “An important and intimately related spinoff from these investigations has been the study of consistent higher derivative interactions for scalar fields [7, 8, 9].”
Horndeski theory and beyond: a review (2019, background): “The generalized Galileon [22] is a further generalization of the covariant Galileon [20, 21] retaining second-order field equations.”
Cosmology in generalized Proca theories (2016, background): “A rigorous investigation revealed that the naive covariantization (replacing partial derivatives with covariant derivatives) would yield higher-order equations of motion and that unique non-minimal couplings with the curvature should be added to maintain the equations of motion up to second order [2”
The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at z ∼ 1.4 (2015, background): “17 we show the best-fit curve off(z)σ8(z) for the extended Galileon as a dot-dashed line.”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “In curved spacetimes the situation is more subtle, see [406] for details.”
Massive Gravity (2014, background): “81) would not be the covariant Galileons found in [166, 161, 157] (nor the ones found in [237]) for a generic metric.”