d⩾5 magnetized static, balanced black holes with S2×S 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 S2×S 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.
- Publication:
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Physics Letters B
- Pub Date:
- June 2013
- DOI:
- arXiv:
- arXiv:1303.2190
- Bibcode:
- 2013PhLB..723..182K
- Keywords:
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- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 12 pages, 2 figures