Charged wormholes in (anti-)de Sitter spacetime

Fuente: arXiv
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Main Authors: Kim, Hyeong-Chan, Lee, Wonwoo
Format: Preprint
Published: 2025
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author Kim, Hyeong-Chan
Lee, Wonwoo
author_facet Kim, Hyeong-Chan
Lee, Wonwoo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09981
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Charged wormholes in (anti-)de Sitter spacetime
Kim, Hyeong-Chan
Lee, Wonwoo
General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
title Charged wormholes in (anti-)de Sitter spacetime
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.09981