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arXiv · 2505.16361

Multi-Sheet Wormholes in the Gravitational Soliton Formalism

Yusuke Makita·Keisuke Izumi·Daisuke Yoshida·Keiya Uemichi
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Abstract

We analytically construct static regular solutions describing wormholes that connect multiple asymptotic regions, supported by a phantom scalar field. The solutions are static and axially symmetric, and are constructed using the gravitational soliton formalism, in which the equations of motion reduce to the Laplace equations on a two-dimensional sheet. However, the presence of multiple asymptotic regions necessitates the introduction of multiple such sheets. These sheets are appropriately cut and glued together to form a globally regular geometry. This gluing procedure represents the principal distinction from conventional Weyl-type solitonic solutions and is a characteristic feature of the wormhole geometries studied in this paper.

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Yusuke Makita, Keisuke Izumi, Daisuke Yoshida, Keiya Uemichi. 2025-05-22. Multi-Sheet Wormholes in the Gravitational Soliton Formalism. https://doi.org/10.1088/1361-6382%2Fadfeb0

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