Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models

TL;DR

This paper explores generalized Jackiw-Teitelboim gravity coupled with scalar fields, analyzing equations of motion, perturbations, and how parameters influence solution structures, including analytic zero modes in specific cases.

Contribution

It introduces a generalized model of Jackiw-Teitelboim gravity with two scalar fields and provides analytic solutions and zero modes under certain conditions.

Findings

Analytic solutions with topological behavior obtained.

Parameters can modify solution structures.

Zero modes constructed analytically in specific cases.

Abstract

We investigate generalized Jackiw-Teitelboim gravity, coupling the dilaton field with two scalar matter fields. We obtain the equations of motion of the fields and investigate the linear perturbation of the solutions in general. We study two specific situations that allow analytic solutions with topological behavior and check how the dilaton field, the warp factor and Ricci scalar behave. In particular, we have shown how the parameters can be used to modify the structure of the solutions. Moreover, the perturbations are in general described by intricate coupled differential equations, but in some specific cases we could construct the corresponding zero modes analytically.