Gyromagnetic ratio of higher dimensional black holes

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KAYA R.

CLASSICAL AND QUANTUM GRAVITY, vol.25, no.4, 2008 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 25 Issue: 4
• Publication Date: 2008
• Doi Number: 10.1088/0264-9381/25/4/045004
• Journal Name: CLASSICAL AND QUANTUM GRAVITY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Yıldız Technical University Affiliated: Yes

Abstract

We consider a rotating black hole with two angular momenta in D=6 dimensions and three angular momenta in D=7 dimensions. Using Wald's test field approach we derive the solution for the electromagnetic field occurring when the black hole is placed in a uniform magnetic field. It is shown that a weakly charged rotating black hole in D=6 and 7 dimensions possesses two and three independent magnetic dipole moments, respectively. We conjecture that the gyromagnetic ratio of a D-dimensional weakly charged Myers - Perry black hole possesses the value g=D - 2.