Hairy black holes in the general Skyrme model

Abstract

We study the existence of hairy black holes in the generalized Einstein-Skyrme model. It is proven that in the BPS model limit there are no hairy black hole solutions, although the model admits gravitating (and flat space) solitons. Furthermore, we find strong evidence that a necessary condition for the existence of black holes with Skyrmionic hair is the inclusion of the Skyrme term ${\mathcal{L}}_4$. As an example, we show that there are no hairy black holes in the ${\mathcal{L}}_2+{\mathcal{L}}_6+{\mathcal{L}}_0$ model and present a new kind of black hole solutions with compact Skyrmion hair in the ${\mathcal{L}}_4+{\mathcal{L}}_6+{\mathcal{L}}_0$ model.

Latex file, 19 pages, 9 ps figures; v2: minor changes, some comments added, coincides with published version

References in corpus (19)

• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• Spinning black holes in Einstein--Gauss-Bonnet--dilaton theory: non-perturbative solutions
• A BPS Skyrme model and baryons at large Nc
• Skyrmions and the alpha-particle model of nuclei
• Light Nuclei of Even Mass Number in the Skyrme Model
• Skyrmions with massive pions
• Light Nuclei as Quantized Skyrmions
• BPS Skyrmions as neutron stars
• Vibrational quantisation of the B=7 Skyrmion
• Incarnations of Skyrmions
• Loosening up the Skyrme model
• Fractional Skyrmions and their molecules
• Classically isospinning Skyrmion solutions
• Near BPS Skyrmions and Restricted Harmonic Maps
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Baryon chemical potential and in-medium properties of BPS skyrmions
• D-brane solitons in various dimensions
• Time-Dependent BPS Skyrmions
• Gravitating BPS Skyrmions

Cited by in corpus (23)

• Speed of gravitational waves and black hole hair
• Kerr black holes with synchronised scalar hair and boson stars in the Einstein-Friedberg-Lee-Sirlin model
• The First-Order Euler-Lagrange equations and some of their uses
• Skyrmions around Kerr black holes and spinning BHs with Skyrme hair
• Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension
• Black hole Skyrmion in a generalized Skyrme model
• Exploring the generalized loosely bound Skyrme model
• A higher-order Skyrme model
• Skyrmions confined as beads on a vortex ring
• Generalized Skyrmions and hairy black holes in asymptotically AdS${}_4$ spacetime
• Neutron stars within the Skyrme model
• The BPS sectors of the Skyrme model and their non-BPS extensions
• Aharonov-Bohm protection of black hole's baryon/skyrmion hair
• Spinning $\sigma$-model solitons in $2+1$ Anti-de Sitter space
• Extensions of the generalized hedgehog ansatz for the Einstein-nonlinear $\sigma$-model system: black holes with NUT, black strings and time-dependent solutions
• Spinning gravitating Skyrmions in generalized Einstein-Skyrme model
• Scattering of massless scalar waves by magnetically charged black holes in Einstein-Yang-Mills-Higgs theory
• Growing Hair on the extremal $BTZ$ black hole
• Gravitating gauged BPS baby Skyrmions
• Black holes with Skyrmion-anti-Skyrmion hairs
• Higher-order Skyrme hair of black holes
• Hairy black holes via gravitational decoupling: light rings, absorption and spectral lines
• Rotating AdS Einstein universes from constrained metrics