Z2-Symmetric Thick Brane with Specific Warp Function

TL;DR

This paper presents a new Z2-symmetric thick brane model in five dimensions, analyzing its geometric stability, gravitational fluctuations, quantum aspects, and cosmological implications.

Contribution

It introduces a novel warped thick brane solution with detailed stability, quantum, and cosmological analyses, expanding the understanding of higher-dimensional brane models.

Findings

Stable gravitational fluctuations with corrected Newtonian gravity

Quantum solutions via Wheeler-DeWitt equation

Cosmological behavior of the brane model

Abstract

In this work, we investigate a new warped five-dimensional, Z2-symmetric thick brane solution in the presence of a real scalar field. We examine the different geometric aspects of the model. We discuss the stability of the solution under gravitational fluctuations and study both the graviton ground state and the continuum of Kaluza-Klein modes to find a correction to Newtons law. Then, we study the quantum version of the model by deriving the Wheeler-DeWitt equation and looking for the corresponding solution. Finally, the cosmology of the brane is studied.