Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension View Full Text


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Article Info

DATE

2017-11-08

AUTHORS

Yves Brihaye, Carlos Herdeiro, Eugen Radu, D.H. Tchrakian

ABSTRACT

We consider a class of generalizations of the Skyrme model to five spacetime dimensions (d = 5), which is defined in terms of an O(5) sigma model. A special ansatz for the Skyrme field allows angular momentum to be present and equations of motion with a radial dependence only. Using it, we obtain: 1) everywhere regular solutions describing localised energy lumps (Skyrmions); 2) Self-gravitating, asymptotically flat, everywhere non-singular solitonic solutions (Skyrme stars), upon minimally coupling the model to Einstein’s gravity; 3) both static and spinning black holes with Skyrme hair, the latter with rotation in two orthogonal planes, with both angular momenta of equal magnitude. In the absence of gravity we present an analytic solution that satisfies a BPS-type bound and explore numerically some of the non-BPS solutions. In the presence of gravity, we contrast the solutions to this model with solutions to a complex scalar field model, namely boson stars and black holes with synchronised hair. Remarkably, even though the two models present key differences, and in particular the Skyrme model allows static hairy black holes, when introducing rotation, the synchronisation condition becomes mandatory, providing further evidence for its generality in obtaining rotating hairy black holes. More... »

PAGES

37

References to SciGraph publications

  • 2016-09-09. Black hole Skyrmion in a generalized Skyrme model in JOURNAL OF HIGH ENERGY PHYSICS
  • 1995-03. Multisolitons in a two-dimensional Skyrme model in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 1984-12. Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2008-09-08. Black Holes in Higher Dimensions in LIVING REVIEWS IN RELATIVITY
  • 2017-03-14. Atiyah-Manton construction of Skyrmions in eight dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 1987-09. Geometry of Skyrmions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1963-02. Schwarzschild field inn dimensions and the dimensionality of space problem in IL NUOVO CIMENTO (1955-1965)
  • 2015-12-02. Gravitating BPS Skyrmions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-09-07. A higher-order Skyrme model in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep11(2017)037

    DOI

    http://dx.doi.org/10.1007/jhep11(2017)037

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1092649563


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