Gravitating multidefects from higher dimensions

TL;DR

This paper develops a method to construct and analyze multi-defect configurations in higher-dimensional gravity, revealing diverse stable structures with regular geometry that generalize single-defect solutions.

Contribution

It introduces a general construction method for multidefects in higher-dimensional Einstein-Hilbert gravity, including solutions with Euler-Gauss-Bonnet corrections.

Findings

Profiles describe kink-antikink, soliton pairs, and bound states.

Geometry remains regular and asymptotically approaches anti-de Sitter space.

Zero mode analysis and comparison with single-defect configurations.

Abstract

Warped configurations admitting pairs of gravitating defects are analyzed. After devising a general method for the construction of multidefects, specific examples are presented in the case of higher-dimensional Einstein-Hilbert gravity. The obtained profiles describe diverse physical situations such as (topological) kink-antikink systems, pairs of non-topological solitons and bound configurations of a kink and of a non-topological soliton. In all the mentioned cases the geometry is always well behaved (all relevant curvature invariants are regular) and tends to five-dimensional anti-de Sitter space-time for large asymptotic values of the bulk coordinate. Particular classes of solutions can be generalized to the framework where the gravity part of the action includes, as a correction, the Euler-Gauss-Bonnet combination. After scrutinizing the structure of the zero modes, the obtained results are compared with conventional gravitating configurations containing a single topological defect.