Abstract
We find a class of asymptotically flat slowly rotating charged black hole solutions of Einstein–Maxwell-dilaton theory with arbitrary dilaton coupling constant in higher dimensions. Our solution is the correct one generalizing the four-dimensional case of Horne and Horowitz [J.H. Horne, G.T. Horowitz, Phys. Rev. D 46 (1992) 1340]. In the absence of a dilaton field, our solution reduces to the higher-dimensional slowly rotating Kerr–Newman black hole solution. The angular momentum and the gyromagnetic ratio of these rotating dilaton black holes are computed. It is shown that the dilaton field modifies the gyromagnetic ratio of the black holes.
Highlights
General Relativity in higher dimensions has been the subject of increasing attention in recent years
We investigate the effects of the dilaton field on the angular momentum and the gyromagnetic ratio of these rotating dilaton black holes
The dilaton field does not change to O(a) and Aφ is the only component of the vector potential that changes
Summary
Rahnama1‡ 1Department of Physics, Shahid Bahonar University, P.O. Box 76175, Kerman, Iran 2Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, Iran. We find a class of asymptotically flat slowly rotating charged black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling constant in higher dimensions. Our solution is the correct one generalizing the four-dimensional case of Horne and Horowitz [1]. In the absence of a dilaton field, our solution reduces to the higher dimensional slowly rotating Kerr-Newman black hole solution. The angular momentum and the gyromagnetic ratio of these rotating dilaton black holes are computed. It is shown that the dilaton field modifies the gyromagnetic ratio of the black holes
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