First-order formalism for flat branes in generalized N-field models

TL;DR

This paper develops a first-order formalism for flat branes in generalized N-field models with higher derivative dynamics, enabling the construction of stable solutions and exploring their properties in braneworld scenarios.

Contribution

It introduces a novel first-order formalism for flat branes with multiple scalar fields exhibiting nonstandard dynamics, expanding analytical tools in braneworld models.

Findings

Derived stable standard and compact solutions in braneworld models.

Identified different models sharing the same warp factor.

Extended formalism to include higher order derivative scalar fields.

Abstract

This work deals with braneworld scenarios obtained from N real scalar fields, whose dynamics is generalized to include higher order power in the derivative of the fields. For the scalar fields being driven by nonstandard dynamics, we show how a first-order formalism can be obtained for flat brane in the presence of several fields. We then illustrate our findings investigating distinct potentials with one and two fields, obtaining stable standard and compact solutions in the braneworld theory. In particular, we have found different models describing the very same warp factor.