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

Abstract

We show how the flat spacetime Galileon field theories (FSGFT) in arbitrary dimensions can be obtained through a Born-Infeld type structure. This construction involves a brane metric and non-linear 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 associated to these Galileon theories may be written in terms of such tensors.

15 pages, no figures. One reference added. Published version

References in corpus (7)

• DBI and the Galileon reunited
• Multi-field galileons and higher co-dimension branes
• Symmetries for Galileons and DBI scalars on curved space
• General Embedded Brane Effective Field Theories
• A Hidden Symmetry of the Galileon
• Stability and superluminality of spherical DBI galileon solutions
• Unitarity analysis of general Born-Infeld gravity theories

Cited by in corpus (1)

• Lovelock type brane gravity from a minimal surface perspective