Charged wormholes in (anti-)de Sitter spacetime

TL;DR

This paper introduces new charged traversable wormhole solutions in (anti-)de Sitter spacetime, analyzing their geometric properties, matter constraints, and particle trajectories, revealing distinct behaviors in de Sitter and anti-de Sitter backgrounds.

Contribution

It presents novel charged wormhole solutions with detailed geometric and physical analysis, including flare-out conditions and particle dynamics in (anti-)de Sitter spacetime.

Findings

Existence of two types of wormhole throats in de Sitter space.

Throat geometry in anti-de Sitter space allows for variable curvature and infinite area.

Particles traverse de Sitter wormholes; oscillate in anti-de Sitter.

Abstract

We present a family of charged, traversable wormhole solutions in the presence of a cosmological constant. In de Sitter spacetime, two types of wormhole throats can exist--referred to as typical and cosmological throat--located at small and large radial values, respectively. In anti-de Sitter spacetime, the throat geometry allows for positive, zero, or negative curvature, enabling the possibility of an infinite throat area. We analyze the flare-out condition, a key requirement for the existence of traversable wormholes, which imposes constraints on the equation of state parameters governing the supporting matter. These solutions are shown to be of Petrov type D. Furthermore, we examine radial geodesics of null and timelike particles. In the de Sitter case, particles traverse the wormhole, passing from one throat to the other. In contrast, in the anti-de Sitter case, particles exhibit recurrent oscillatory motion between two asymptotic regions, cyclically disappearing and reappearing across the throats.