Gravitating monopoles and black holes in Einstein-Born-Infeld-Higgs model
Prasanta K. Tripathy

TL;DR
This paper explores static monopoles and magnetically charged black holes within the Einstein-Born-Infeld-Higgs model, analyzing their existence and properties through numerical methods, and highlighting the impact of gravitational strength on solutions.
Contribution
It introduces the existence and characteristics of monopoles and black holes in the Einstein-Born-Infeld-Higgs model, emphasizing the critical gravitational parameter for their formation.
Findings
Monopoles exist only below a critical gravitational parameter.
Black hole solutions with magnetic charge are identified.
Numerical analysis confirms the existence and properties of these solutions.
Abstract
We find static spherically symmetric monopoles in Einstein-Born-Infeld-Higgs model in 3+1 dimensions. The solutions exist only when a parameter (related to the strength of Gravitational interaction) does not exceed certain critical value. We also discuss magnetically charged non Abelian black holes in this model. We analyse these solutions numerically.
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