On the flat spacetime Galileons and the Born–Infeld type structures

  title={On the flat spacetime Galileons and the Born–Infeld type structures},
  author={Cuauhtemoc Campuzano and Rub{\'e}n Cordero and Miguel Cruz and Efra{\'i}n Rojas},
  journal={International Journal of Modern Physics D},
We show how the flat spacetime Galileon field theories (FSGFT) in arbitrary dimensions can be obtained through a Born–Infeld (BI) type structure. This construction involves a brane metric and nonlinear combinations of derivatives of a scalar field. Our setup gives rise to some Galileon tensors and vectors useful for the variational analysis which are related to the momentum density of the probe Lovelock branes floating in a N-dimensional flat bulk. We find further that the Noether currents… 



Born–Infeld extension of Lovelock brane gravity

We present a Born–Infeld-type theory to describe the evolution of p-branes propagating in an N = (p + 2)-dimensional Minkowski spacetime. The expansion of the BI-type volume element gives rise to the

Cosmological perturbations of massive gravity coupled to DBI Galileons

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties—the Galileons—can be naturally covariantized by coupling to nonlinear massive gravity

DBI and the Galileon reunited

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

Galileons on cosmological backgrounds

We construct four-dimensional effective field theories of a generalized DBI galileon field, the dynamics of which naturally take place on a Friedmann-Robertson-Walker spacetime. The theories are

Unitarity analysis of general Born-Infeld gravity theories

We develop techniques of analyzing the unitarity of general Born-Infeld gravity actions in D-dimensional spacetimes. The determinantal form of the action allows us to find a compact expression

Symmetries for Galileons and DBI scalars on curved space

We introduce a general class of four-dimensional effective field theories which include curved space Galileons and DBI theories possessing nonlinear shift-like symmetries. These effective theories

Generalizing Galileons

The Galileons are a set of terms within four-dimensional effective field theories, obeying symmetries that can be derived from the dynamics of a (3 + 1)-dimensional flat brane embedded in a

Galileons from Lovelock actions

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

New class of effective field theories from embedded branes.

A new general class of four-dimensional effective field theories with interesting global symmetry groups arise from purely gravitational actions for (3+1)-dimensional branes embedded in higher dimensional spaces with induced gravity terms, which may prove relevant to the cosmology of both the early and late universe.

Stability and superluminality of spherical DBI Galileon solutions

The Dirac-Born-Infeld (DBI) Galileons are a generalization of the Galileon terms, which extend the internal Galilean symmetry to an internal relativistic symmetry, and can also be thought of as