First-order framework for flat brane with auxiliary fields

TL;DR

This paper explores braneworld models with auxiliary fields, showing that modifications to Einstein's equations lead to first-order solutions and alter the standard scenario.

Contribution

It introduces a first-order framework for flat branes incorporating auxiliary fields, revealing how non-dynamical modifications affect braneworld solutions.

Findings

First-order equations support braneworld solutions with auxiliary fields.

The presence of auxiliary fields modifies the standard braneworld scenario.

Parameter controlling auxiliary fields influences the model's behavior.

Abstract

This work deals with braneworld models in the presence of auxiliary fields. We investigate the case where Einstein's equation is modified with the inclusion of extra, non-dynamical terms. We show that the model supports first-order differential equations that solve the equations of motion, but the standard braneworld scenario changes under the presence of the parameter that controls the non-dynamical or auxiliary fields that modifies Einstein's equation.