DBI and the Galileon reunited

Abstract

We derive the relativistic generalization of the Galileon, by studying the brane position modulus of a relativistic probe brane embedded in a five- dimensional bulk. In the appropriate Galilean contraction limit, we recover the complete Galileon generalization of the DGP decoupling theory and its conformal extension. All higher order interactions for the Galileon and its relativistic generalization naturally follow from the brane tension, induced curvature, and the Gibbons-Hawking-York boundary terms associated with all bulk Lovelock invariants. Our approach makes the coupling to gravity straightforward, in particular allowing a simple rederivation of the nonmini- mal couplings required by the Covariant Galileon. The connection with the Lovelock invariants makes the well-defined Cauchy problem manifest, and gives a natural unification of four dimensional effective field theories of the DBI type and the Galileon type.

25 pages, minor clarifications

References in corpus (11)

• The Effective Field Theory of Inflation
• Covariant Galileon
• Causality, Analyticity and an IR Obstruction to UV Completion
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Galileon Cosmology
• Cascading DGP
• Simple Bounds from the Perturbative Regime of Inflation
• Superluminality in DGP
• Induced gravity on intersecting brane-worlds Part I: Maximally symmetric solutions
• Induced gravity on intersecting brane-worlds Part II: Cosmology
• Brane Induced Gravity: Codimension-2

Cited by in corpus (20)

• Resummation of Massive Gravity
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Galilean Genesis: an alternative to inflation
• Galileon inflation
• Multi-field galileons and higher co-dimension branes
• Cosmic Acceleration and the Helicity-0 Graviton
• Symmetries for Galileons and DBI scalars on curved space
• Observational constraints on Galileon cosmology
• Primordial non-Gaussianity from the DBI Galileons
• Matter perturbations in Galileon cosmology
• Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
• General Embedded Brane Effective Field Theories
• Primordial non-Gaussianity from G-inflation
• Generalized Brans-Dicke theories
• Stability and superluminality of spherical DBI galileon solutions
• Multi-galileons, solitons and Derrick's theorem
• Anomalous coupling of scalars to gauge fields
• Galileon accretion
• Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry
• Goldstone's Theorem and Hamiltonian of Multi-galileon Modified Gravity