2013/12/12 by Olga Hauser, Rustam Ibadov, Burkhard Kleihaus +1 · 14 citations
Mathematics · Physics and Astronomy · #Abelian group #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Field (mathematics) #Limit (mathematics) #Limiting #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Theoretical physics #Wormhole #gr-qc
paper · pdf · doi:10.1103/physrevd.89.064010
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(6) (American Physical Society) · 25 pages
arxiv created 2013/12/12 · openalex publication_date 2014/03/06 · arxiv updated 2014/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider Lorentzian wormholes supported by a phantom field and threaded by nontrivial Yang-Mills fields, which may be regarded as hair on the Ellis wormhole. Like the Bartnik-McKinnon solutions and their associated hairy black holes, these hairy wormholes form infinite sequences, labeled by the node number k of their gauge field function. We discuss the throat geometry of these wormholes, showing that odd-k solutions may exhibit a double throat, and evaluate their global charges. We analyze the limiting behavior exhibited by wormhole solutions as the gravitational coupling becomes large. The even-k solutions approach smoothly the Bartnik-McKinnon solutions with k/2 nodes, while the odd-k solutions develop a singular behavior at the throat in the limit of large coupling. In the limit of large k, on the other hand, an embedded Abelian wormhole solution is approached, when the throat is large. For smaller throats the extremal Reissner-Nordstr"om solution plays a fundamental role in the limit.