Galileons from Lovelock actions

Abstract

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.

15 pages, some extra references

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Cited by in corpus (111)

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• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Derivative self-interactions for a massive vector field
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• The Imperfect Fluid behind Kinetic Gravity Braiding
• Cosmology of the Galileon from Massive Gravity
• Bouncing Galileon Cosmologies
• Self-tuning and the derivation of the Fab Four
• Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
• Symmetries for Galileons and DBI scalars on curved space
• A formal introduction to Horndeski and Galileon theories and their generalizations
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
• Black holes and stars in Horndeski theory
• Solutions in the scalar-tensor theory with nonminimal derivative coupling
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• DBI Galileons in the Einstein Frame: Local Gravity and Cosmology
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• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• Black Holes in Bi-scalar Extensions of Horndeski Theories
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• Improving relativistic MOND with Galileon k-mouflage
• Linear perturbations in Galileon gravity models
• Dynamical analysis of generalized Galileon cosmology
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• Selected topics in scalar-tensor theories and beyond
• The Paths of Gravity in Galileon Cosmology
• Galileons in the Sky
• An Alternative to Particle Dark Matter
• Primordial non-Gaussianity from G-inflation
• Supersymmetric Galileons
• The parameter space in Galileon gravity models
• Stability of Horndeski vector-tensor interactions
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Laboratory Tests of the Galileon
• Purely Kinetic Coupled Gravity
• Conformal couplings of a scalar field to higher curvature terms
• Potential-driven Galileon inflation
• Generalized multi-Proca fields
• Vacua and Exact Solutions in Lower-$D$ Limits of EGB
• Matter bispectrum in cubic Galileon cosmologies
• Astrophysical constraints on compact objects in 4D Einstein-Gauss-Bonnet gravity
• Rotating Black Holes in Horndeski Gravity: Thermodynamic and Gravitational Lensing
• Compact objects in Horndeski gravity
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Self tuning scalar tensor black holes
• Cosmological investigations of (extended) nonlinear massive gravity schemes with non-minimal coupling
• AdS/Ricci-flat correspondence
• Cosmology with non-minimal derivative couplings: perturbation analysis and observational constraints
• Towards the most general scalar-tensor theories of gravity: a unified approach in the language of differential forms
• Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory
• Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions
• Hairy rotating black holes in cubic Galileon theory
• Cosmology with Scalar-Euler form Coupling
• Decoding signatures of extra dimensions and estimating spin of quasars from the continuum spectrum
• Theoretical and observational constraints on regularized 4$D$ Einstein-Gauss-Bonnet gravity
• Spherical Collapse in covariant Galileon theory
• Field redefinitions in theories beyond Einstein gravity using the language of differential forms
• Constraining the $\Lambda$CDM and Galileon models with recent cosmological data
• $D\to 4$ Einstein-Gauss-Bonnet Gravity and Beyond
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• First experimental constraints on the disformally coupled Galileon model
• Born-Infeld extension of Lovelock brane gravity
• Large fluctuations and Primordial Black Holes
• On Lovelock galileons and black holes
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• On dark energy models of single scalar field
• Compact objects of spherical symmetry in beyond Horndeski theories
• Tensor Galileons and Gravity
• G-Curvaton
• Black branes in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity
• Causality Violations in Lovelock Theories
• Vainshtein mechanism in Gauss-Bonnet gravity and Galileon aether
• Classical Duals of Derivatively Self-Coupled Theories
• Rotating black hole with a probe string in Horndeski Gravity
• On the Covariant Galileon and a consistent self-accelerating Universe
• One-loop corrections to vector Galileon theory
• Self-anisotropizing inflationary universe in Horndeski theory and beyond
• HYM-flation: Yang-Mills cosmology with Horndeski coupling
• Quantum corrections to the generalized Proca theory via a matter field
• Warped-AdS3 black holes with scalar halo
• Spherical Cows in the Sky with Fab Four
• From Lovelock to Horndeski's generalised scalar-tensor theory
• Asymptotic structure of Einstein-Gauss-Bonnet theory in lower dimensions
• Reviving Horndeski after GW170817 by Kaluza-Klein compactifications
• Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
• On Coupling NEC-Violating Matter to Gravity
• Lower-dimensional Limits of Cubic Lovelock Gravity
• Braneworlds with field derivative coupling to the Einstein tensor
• Black holes in 4D Einstein-Maxwell-Gauss-Bonnet gravity coupled with scalar fields
• Higher derivative SVT theories from Kaluza-Klein reductions of Horndeski theory
• Metric-Affine Formalism of Higher Derivative Scalar Fields in Cosmology
• Spherically symmetric solutions of light Galileon
• Galileons as the Scalar Analogue of General Relativity
• New solutions of exotic charged black holes and their stability
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• The Stringy Origins of Galileons and their Novel Limit
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• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Dimensional aspects of Lovelock-Lanczos gravity
• Axionic extension of the Proca action
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• Inflaton as a pseudo-Goldstone boson of vacuum energy shift symmetry
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• A new type of second order cosmological lagrangians
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• Modeling dark sector in Horndeski gravity at first-order formalism
• A generalized equation of motion for gravity theories with non-minimal kinetic scalar couplings