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arxiv: 1303.2190 · v1 · pith:QWSFXDO4new · submitted 2013-03-09 · 🌀 gr-qc · hep-th

dgeq 5 magnetized static, balanced black holes with S²times S^(d-4) event horizon topology

classification 🌀 gr-qc hep-th
keywords blackfieldmagneticstaticasymptoticallybackgroundbalancedconfigurations
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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.

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