Vortices and cosmic strings in a generalized Born-Infeld model

2022/08/21 by Kai Shao, Shao, Kai
Mathematics · Physics and Astronomy · #35J60 #78A25 #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2208.09807

openalex publication_date 2022/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider two types of topological solitons in a generalized Born-Infeld-Higgs model. We explore the self-dual structure of the model and prove the existence of planar vortex solutions. Furthermore, we couple the system with the Einstein equations and study the cosmic strings problem over \mathbb R^1,1× S, where S is a Riemann surface. We prove the existence of cosmic string solutions when S is noncompact. We also discuss the decay estimates for vortices and cosmic strings at infinity and show that the minimal energy is quantized and depends on the number of vortices and strings, respectively.

Related

• Vortices and strings induced from a generalized Abelian Higgs model
• Cosmic strings in a generalized linear formulation of gauge field theory
• Gravitating vortices, cosmic strings, and the Kähler--Yang--Mills equations
• Searching for BPS Vortices with Nonzero Stress Tensor in Generalized Born-Infeld-Higgs Model
• Gravitating vortices and the Einstein--Bogomol'nyi equations