Galileons from Lovelock actions

By Karel Van Acoleyen, J. Doorsselaere. 2011

138 citations recorded by the source corpus.

We demonstrate how, for an arbitrary number of dimensions, the Galileon actions and their covariant generalizations can be obtained through a standard Kaluza-Klein compactification of higher-dimensional Lovelock gravity. In this setup, the dilaton takes on the role of the Galileon. In addition, such compactifications uncover other more general Galilean actions, producing purely second-order equations in the weak-field limit, now both for the Galileon and the metric perturbations.

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

View Paper: https://www.semanticscholar.org/paper/d4309376b03725ee547051a31f199c31e5bb685a

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Citations in the corpus

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.”
Horndeski theory and beyond: a review (2019, methodology): “It is shown in [42] and revisited in [43] that some particular cases of the Horndeski action can be obtained through a Kaluza-Klein compactification of higher-dimensional Lovelock gravity.”
Effective scalar-tensor description of regularized Lovelock gravity in four dimensions (2020, background): “[22] K.”
On taking the D → 4 limit of Gauss-Bonnet gravity: theory and solutions (2020, background): “in the limit of vanishing compactified dimensions [7, 35] (see also previous [38–41]).”
The imperfect fluid behind kinetic gravity braiding (2011, background): “Nonetheless, these theories have been named galileon theories and a significant body of work has already been carried out analysing their impact not only on cosmological solutions [28–45], but also in other circumstances [46–55].”