Charged wormholes in (anti-)de Sitter spacetime

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.

Figures (2)

• Figure 1: (color online). Conceptual diagram of the wormhole in de Sitter and anti-de Sitter spacetimes.
• Figure 2: (color online). The shape of the effective potential for the radial geodesics in de Sitter and anti-de Sitter spacetimes.