First-order formalism for bent brane

TL;DR

This paper extends the first-order formalism for flat branes to bent branes with de Sitter and anti-de Sitter geometries, providing new tools for analyzing braneworld scenarios involving scalar fields.

Contribution

The work generalizes the first-order formalism to curved branes, enabling analysis of more realistic braneworld models with non-flat geometries.

Findings

First-order formalism applicable to bent branes.

Examples demonstrating the formalism's utility.

Potential applications in high energy physics.

Abstract

This work deals with braneworld scenarios in the presence of real scalar field with standard dynamics. We show that the first-order formalism, which exists in the case of flat brane, can be extended to bent brane, for both de Sitter and anti-de Sitter geometry. We illustrate the results with some examples of current interest to high energy physics.