Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: II.Black Hole Solutions

Abstract

We discuss the new class of static axially symmetric black hole solutions obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are asymptotically flat and they possess a regular event horizon. The event horizon is almost spherically symmetric with a slight elongation along the symmetry axis. The energy density of the matter fields is angle-dependent at the horizon. The static axially symmetric black hole solutions satisfy a simple relation between mass, dilaton charge, entropy and temperature. The black hole solutions are characterized by two integers, the winding number $n$ and the node number $k$ of the purely magnetic gauge field. With increasing node number the magnetically neutral black hole solutions form sequences tending to limiting solutions with magnetic charge $n$, corresponding to Einstein-Maxwell-dilaton black hole solutions for finite dilaton coupling constant and to Reissner-Nordstrøm black hole solutions for vanishing dilaton coupling constant.

41 pages including 45 postscript figures, RevTex format

References in corpus (8)

• Rational Maps, Monopoles and Skyrmions
• Symmetric Skyrmions
• Static black hole solutions with axial symmetry
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: I.Regular Solutions
• Static Axially Symmetric Solutions of Einstein-Yang-Mills-Dilaton Theory
• Rotating solitons and non-rotating, non-static black holes
• Slowly Rotating Non-Abelian Black Holes
• Stationary perturbations and infinitesimal rotations of static Einstein-Yang-Mills configurations with bosonic matter

Cited by in corpus (54)

• Isolated and dynamical horizons and their applications
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Isolated Horizons: Hamiltonian Evolution and the First Law
• Numerical Methods for Finding Stationary Gravitational Solutions
• Scalar Hair from a Derivative Coupling of a Scalar Field to the Einstein Tensor
• Scalarized Hairy Black Holes
• Rotating Hairy Black Holes
• Stable Phases of Boson Stars
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: I.Regular Solutions
• Axially Symmetric Monopoles and Black Holes in Einstein-Yang-Mills-Higgs Theory
• Einstein-Yang-Mills Isolated Horizons: Phase Space, Mechanics, Hair and Conjectures
• New nonuniform black string solutions
• Rotating Einstein-Yang-Mills Black Holes
• Monopole-Anitmonopole Solutions of Einstein-Yang-Mills-Higgs Theory
• Hairy Black Holes, Horizon Mass and Solitons
• Gravitating Dyons and Dyonic Black Holes
• Gravitationally bound monopoles
• On Further Generalization of the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
• Circular Orbits Structure and Thin Accretion Disks around Kerr Black Holes with Scalar Hair
• Hairy black holes in theories with massive gravitons
• Gravitating Monopole--Antimonopole Chains and Vortex Rings
• Rotating Dilaton Black Holes with Hair
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: the regular case
• Numerical Black Hole Solutions in Modified Gravity Theories: Axial Symmetry Case
• Negative Horizon Mass for Rotating Black Holes
• Global Charges of Stationary Non-Abelian Black Holes
• Geons with spin and charge
• Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: black hole solutions
• New Regular Solutions with Axial Symmetry in Einstein-Yang-Mills Theory
• $d\ge 5$ static black holes with $S^2\times S^{d-4}$ event horizon topology
• Non-Abelian Black Holes with Magnetic Dipole Hair
• Rotating nonuniform black string solutions
• Rotating black holes with non-Abelian hair
• Electric charge on the brane?
• Stationary Dyonic Regular and Black Hole Solutions
• Platonic Gravitating Skyrmions
• Hairy Wormholes and Bartnik-McKinnon Solutions
• New Black Hole Solutions with Axial Symmetry in Einstein-Yang-Mills Theory
• Black strings in (4+1)-dimensional Einstein-Yang-Mills theory
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Horizon Properties of Einstein-Yang-Mills Black Hole
• Static black holes with axial symmetry in asymptotically AdS${}_4$ spacetime
• Static Axially Symmetric Einstein-Yang-Mills-dilaton solutions: Addendum Asymptotic solutions
• Existence and stability of circular orbits in static and axisymmetric spacetimes
• Geon black holes and quantum field theory
• On the regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory
• Global behavior of solutions to the static spherically symmetric EYM equations
• Particle-like platonic solutions in scalar gravity
• Nonabelian solutions in a Melvin magnetic universe
• Non-Abelian black holes in conformal gravity
• Topological geon black holes in Einstein-Yang-Mills theory
• Comments on `Existence of axially symmetric solutions in SU(2)-Yang Mills and related theories [hep-th/9907222]'
• Comment on ``Singularities in axially symmetric solutions of Einstein-Yang Mills and related theories, by Ludger Hannibal, [hep-th/9903063]''