Non-topological gravitating defects in five-dimensional anti-de Sitter space

TL;DR

This paper introduces a new class of five-dimensional warped solutions in anti-de Sitter space, including non-topological gravitating defects with finite scalar profiles, expanding understanding of higher-dimensional gravity models.

Contribution

The paper presents novel five-dimensional warped solutions with regular geometry, including non-topological defects and generalized gravitating kinks, depending on an integer parameter.

Findings

Solutions are everywhere regular and asymptotically anti-de Sitter.

Scalar fields can interpolate between minima or reach the same asymptote.

Zero mode features are analyzed in the context of these solutions.

Abstract

A class of five-dimensional warped solutions is presented. The geometry is everywhere regular and tends to five-dimensional anti-de Sitter space for large absolute values of the bulk coordinate. The physical features of the solutions change depending on the value of an integer parameter. In particular, a set of solutions describes generalized gravitating kinks where the scalar field interpolates between two different minima of the potential. The other category of solutions describes instead gravitating defects where the scalar profile is always finite and reaches the same constant asymptote both for positive and negative values of the bulk coordinate. In this sense the profiles are non-topological. The physical features of the zero modes are discussed.