Einstein-Yang-Mills wormholes haunted by a phantom field

Fuente: arXiv
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Autore principale: Sobak, Marko
Natura: Preprint
Pubblicazione: 2023
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author Sobak, Marko
author_facet Sobak, Marko
contents In this article, we study wormhole spacetimes in the framework of the static spherically symmetric SU(2) Einstein-Yang-Mills theory coupled to a phantom scalar field. We show rigorously the existence of an infinite sequence of symmetric wormhole solutions, labelled by the number of zeros of the Yang-Mills potential. These solutions have previously been discovered numerically. Mathematically, the problem resembles the pure Einstein-Yang-Mills system for black hole initial conditions, which was well-studied in the 90s. The main difference in the present work is that the coupling to the phantom field adds a non-trivial degree of complexity to the analysis. After proving the existence of the symmetric wormhole solutions, we also present numerical evidence for the existence of asymmetric ones.
format Preprint
id arxiv_https___arxiv_org_abs_2310_14367
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Einstein-Yang-Mills wormholes haunted by a phantom field
Sobak, Marko
Mathematical Physics
General Relativity and Quantum Cosmology
Differential Geometry
In this article, we study wormhole spacetimes in the framework of the static spherically symmetric SU(2) Einstein-Yang-Mills theory coupled to a phantom scalar field. We show rigorously the existence of an infinite sequence of symmetric wormhole solutions, labelled by the number of zeros of the Yang-Mills potential. These solutions have previously been discovered numerically. Mathematically, the problem resembles the pure Einstein-Yang-Mills system for black hole initial conditions, which was well-studied in the 90s. The main difference in the present work is that the coupling to the phantom field adds a non-trivial degree of complexity to the analysis. After proving the existence of the symmetric wormhole solutions, we also present numerical evidence for the existence of asymmetric ones.
title Einstein-Yang-Mills wormholes haunted by a phantom field
topic Mathematical Physics
General Relativity and Quantum Cosmology
Differential Geometry
url https://arxiv.org/abs/2310.14367