A Study of Brane Solutions in D-dimensional Coupled Gravity System

TL;DR

This paper investigates brane solutions in a D-dimensional gravity system with dilaton and antisymmetric tensor fields, demonstrating integrability and uniqueness of solutions, and presenting new explicit solutions.

Contribution

It introduces a complete integrability analysis of the coupled gravity system and provides new explicit brane solutions under Poincaré invariance.

Findings

System of equations is completely integrable.

Unique solutions with appropriate boundary conditions.

New classes of explicit solutions are found.

Abstract

In this paper, we use only the equation of motion for an interacting system of gravity, dilaton and antisymmetric tensor to study the soliton solutions by making use of a Poincar\'e invariant ansatz. We show that the system of equations are completly integrable and the solution is unique with appropriate boundary conditions. Some new class of solutions are also given explicitly.