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

By Cedric Deffayet, S. Deser, G. Esposito-Farèse. 2009

650 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/6a5c35369edc6f7fedbf60bd0a5110da7dfc3264

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Citations in the corpus

Essential Building Blocks of Dark Energy (2013, background): “In four dimensions, the most general scalar tensor theory having field equations of second order in derivatives is a combination of the following generalized Galileon Lagrangians [21,25,26], L2 =G2(φ,X) , (50) L3 =G3(φ,X) φ , (51) L4 =G4(φ,X)R − 2G4X(φ,X)( φ2 − φ;µνφ;µν) , (52) L5 =G5(φ,X)Gµνφ ;µν +”
The imperfect fluid behind kinetic gravity braiding (2011, background): “J H E P 1 1 ( 2 0 1 1 ) 1 5 6 that it is impossible to covariantise these models in such a way so as to maintain the galilean symmetry for dynamical spacetimes in a self-consistent manner [26, 27].”
Galileon gravity in light of ISW, CMB, BAO and H0 data (2017, background): “• The explicit couplings to R and Gμν in L4 and L5 are not Galilean invariant but were included by [7] to keep the equations of motion second-order in fields derivatives in a spacetime like FLRW and hence, leave the theory free from instabilities known as Ostrogradski ghosts.”
Modified Gravity and Cosmology (2011, background): “This has been worked out in [400, 396], and is given by”
Cosmological tests of modified gravity (2015, background): “These actions can be generalised further, leading to the Horndeski action [81]:”
Bi-galileon theory I: motivation and formulation (2010, background): “Both this work and our own might be considered to be the natural generalisations of [81].”
G-bounce (2011, background): “6 The simplest versions of these actions arise in certain modifications of gravity [64] when considered in the decoupling limit [65–67] and were then generalized to the so-called Galileons in [68] for the fixed Minkowski metric and in [69, 70] for dynamical spacetime.”
f(R) Theories (2010, background): “This result can be extended to arbitrary D dimensions [202].”
Horndeski gravity as D → 4 limit of Gauss-Bonnet (2020, background): “After removing a total derivative term, the limit (5) can be smoothly applied, resulting a finite action taking the form of some special Horndeski gravity [13] or generalized Galileons [14,15], i.e. a non-minimally coupled scalar-tensor theory with at most second order field equations.”