Wormholes in de Sitter branes

TL;DR

This paper introduces a class of wormhole geometries in de Sitter branes within the Randall-Sundrum model, analyzing their structure, stability, and perturbations through analytical and numerical methods.

Contribution

It presents new wormhole solutions in de Sitter branes, including their maximal extensions, causal structures, and stability analysis via perturbative and numerical approaches.

Findings

Wormhole geometries are stable under perturbations.

Analytical quasinormal spectra are derived.

Numerical surveys support stability conclusions.

Abstract

In this work we present a class of geometries which describes wormholes in a Randall-Sundrum brane model, focusing on de Sitter backgrounds. Maximal extensions of the solutions are constructed and their causal structures are discussed. A perturbative analysis is developed, where matter and gravitational perturbations are studied. Analytical results for the quasinormal spectra are obtained and an extensive numerical survey is conducted. Our results indicate that the wormhole geometries presented are stable.