$d\ge 5$ magnetized static, balanced black holes with $S^2\times S^{d-4}$ event horizon topology

Abstract

We construct static, nonextremal black hole solutions of the Einstein-Maxwell equations in $d=6,7$ spacetime dimensions, with an event horizon of $S^2\times S^{d-4}$ topology. These configurations are asymptotically flat, the U(1) field being purely magnetic, with a spherical distribution of monopole charges but no net charge measured at infinity. They can be viewed as generalizations of the $d=5$ static dipole black ring, sharing its basic properties, in particular the presence of a conical singularity. The magnetized version of these solutions is constructed by applying a Harrison transformation, which puts them into an external magnetic field. For $d=5,6,7$, balanced configurations approaching asymptotically a Melvin universe background are found for a critical value of the background magnetic field.

12 pages, 2 figures

References in corpus (22)

• A rotating black ring in five dimensions
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• Essentials of Blackfold Dynamics
• World-Volume Effective Theory for Higher-Dimensional Black Holes
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Nucleation of $P$-Branes and Fundamental Strings
• Quasilocal Formalism and Black Ring Thermodynamics
• The Role of Dipole Charges in Black Hole Thermodynamics
• Higher-dimensional Rotating Charged Black Holes
• Generating branes via sigma-models
• Tubular Branes in Fluxbranes
• Black diholes
• Higher dimensional black holes in external magnetic fields
• Black rings in more than five dimensions
• Magnetized black holes and black rings in the higher dimensional dilaton gravity
• A note on Schwarzschild black hole thermodynamics in a magnetic universe
• On the Bekenstein-Hawking area law for black objects with conical singularities
• Thermodynamical description of stationary, asymptotically flat solutions with conical singularities
• $d\ge 5$ static black holes with $S^2\times S^{d-4}$ event horizon topology
• New generalized nonspherical black hole solutions
• Magnetized static black Saturn

Cited by in corpus (5)

• Exploring New Physics Frontiers Through Numerical Relativity
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• Magnetic Fields in an Expanding Universe
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$
• Towards higher dimensional black rings