Analytic meronic black holes, gravitating solitons and higher spins in the Einstein $SU(N)$-Yang-Mills theory

Abstract

We construct meronic black holes and solitons in the Einstein $SU(N)$-Yang-Mills theory in $D=4$ and $D=5$ dimensions. These analytical solutions are found by combining the generalized hedgehog ansatz with the Euler parameterization of the $SU(N)$ group from which the Yang-Mills equations are automatically satisfied for all values of $N$ while the Einstein equations can be solved analytically. We explicitly show the role that the color number $N$ plays in the black hole thermodynamics as well as in the gravitational spin from isospin effect. Two remarkable results of our analysis are that, firstly, meronic black holes can be distinguished by colored black holes by looking at the spin from isospin effect (which is absent in the latter but present in the former). Secondly, using the theory of non-embedded ansatz for $SU(N)$ together with the spin from isospin effect, one can build fields of arbitrary high spin out of scalar fields charged under the gauge group. Hence, one can analyze interacting higher spin fields in asymptotically flat space-times without "introducing by hand" higher spin fields. Our analysis also discloses an interesting difference between the spin from isospin effect in $D=4$ and in $D=5$.

arXiv commentClarifying comments included, relevant references added. 22 pages, accepted for publication in Physical Review D

References in corpus (53)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Wormholes in AdS
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Cubic interaction vertices for massive and massless higher spin fields
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Black Holes in Magnetic Monopoles
• Gravitating Monopole Solutions II
• On the geometry of higher-spin gauge fields
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• General trilinear interaction for arbitrary even higher spin gauge fields
• Euclidean Wormholes in String Theory
• A Classical Instability of Reissner-Nordstrom Solutions and the Fate of Magnetically Charged Black Holes
• Analytic self-gravitating Skyrmions, cosmological bounces and AdS wormholes
• Dual superconductor models of color confinement
• Maxwell-like Lagrangians for higher spins
• Higher-Spin Geometry and String Theory
• Magnetically Charged Black Holes and their Stability
• Cubic interactions of Maxwell-like higher spins
• Generalized Euler Angle Parameterization for U(N) with Applications to SU(N) Coset Volume Measures
• Non-linear superposition law and Skyrme crystals
• Non-Abelian Black Holes and Catastrophe Theory II: Charged Type
• Introduction to the Gribov Ambiguities In Euclidean Yang-Mills Theories
• Ordered arrays of Baryonic tubes in the Skyrme model in (3+1) dimensions at finite density
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• On the Euler angles for SU(N)
• Confinement from Merons
• Spontaneous Holographic Scalarization of Black Holes in Einstein-Scalar-Gauss-Bonnet Theories
• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Analytic self-gravitating $4$-Baryons, traversable NUT-AdS wormholes, flat space-time multi-Skyrmions at finite volume and a novel transition in the $SU(3)$-Skyrme model
• Analytic (3+1)-dimensional gauged Skyrmions, Heun and Whittaker-Hill equations and resurgence
• Charged SU(N) Einstein-Yang-Mills Black Holes
• Analytic crystals of solitons in the four dimensional gauged non-linear sigma model
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space
• Spherically Symmetric Solutions of the SU(N) Skyrme Models
• SU(N) Multi-Skyrmions at Finite Volume
• Existence Theorems for Hairy Black Holes in su(N) Einstein-Yang-Mills theories
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• Colour, copies and confinement
• Exact meron Black Holes in four dimensional SU(2) Einstein-Yang-Mills theory
• Analytic SU(N) Skyrmions at finite Baryon density
• Reissner-Nordstrom-like solutions of the SU(2) Einstein-Yang/Mills (EYM) equations
• Gravitational catalysis of merons in Einstein-Yang-Mills theory
• Analytic multi-Baryonic solutions in the SU(N)-Skyrme model at finite density
• New BPS solitons in N=4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory
• Cubic Interaction for Higher Spins in $Ad{S}_{d+1}$ space in the explicit covariant form
• Infinitely Coloured Black Holes
• Existence of topological hairy dyons and dyonic black holes in anti-de Sitter SU(N) Einstein-Yang-Mills theory
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Analytic non-Abelian gravitating solitons in the Einstein-Yang-Mills-Higgs theory and transitions between them
• Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model
• A gauge invariant order parameter for monopole condensation in $QCD$ vacuum
• A calculation of the Weyl anomaly for 6D Conformal Higher Spins

Cited by in corpus (3)

• Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory
• Exact flavored black $p$-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
• Non-Abelian black holes in conformal gravity