Gravitating BPS Skyrmions

Sven Bjarke Gudnason, Muneto Nitta, Nobuyuki Sawado

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Abstract: The BPS Skyrme model has many exact analytic solutions in flat space. We generalize the model to a curved space or spacetime and find that the solutions can only be BPS for a constant time-time component of the metric tensor. We find exact solutions on the curved spaces: a 3-sphere and a 3-hyperboloid; and we further find an analytic gravitating Skyrmion on the 3-sphere. For the case of a nontrivial time-time component of the metric, we suggest a potential for which we find analytic solutions on anti-de Sitter and de Sitter spacetimes in the limit of no gravitational backreaction. We take the gravitational coupling into account in numerical solutions and show that they are well approximated by the analytic solutions for weak gravitational coupling.

Original languageEnglish
Article number13
Pages (from-to)1-27
Number of pages27
JournalJournal of High Energy Physics
Issue number12
Publication statusPublished - 2015 Dec 1


  • Classical Theories of Gravity
  • Integrable Equations in Physics
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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