Yang-Mills monopoles in extremal Reissner-Nordström black hole metric

Xiangqin Zhang, Yisong Yang

Research output: Contribution to journalArticlepeer-review


We show that the closed-form monotone solution linking two different vacuum states, for the exterior Yang-Mills wave equation over the extremal Reissner-Nordström spacetime found in the recent work of Bizoń and Kahl [Classical Quantum Gravity 33, 175013 (2016)], is the unique solution to an associated domain-wall type energy minimization problem. We also derive the accompanying interior Yang-Mills wave equation within the same formalism. We obtain a few more closed-form solutions, regular and singular, among other solutions of oscillatory behavior, and discuss several interesting features of the solutions based on some energy considerations.

Original languageEnglish (US)
Article number052304
JournalJournal of Mathematical Physics
Issue number5
StatePublished - May 1 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Yang-Mills monopoles in extremal Reissner-Nordström black hole metric'. Together they form a unique fingerprint.

Cite this