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Speaker_	Aliev, Alikram Nuhbalaoglu
Talk_	Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity
Abstract_	\documentclass[aps,abstarct]{revtex4} \begin{document} \title{\Large \bf Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity} \author{\large A. N. Aliev} \affiliation{Feza G\"ursey Institute, P.K. 6 \c Cengelk\" oy, 81220 Istanbul, Turkey} \maketitle \noindent Black hole solutions in higher dimensional Einstein and Einstein-Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild, Reissner-Nordstrom and Kerr solutions of four-dimensional general relativity. However, higher dimensional counterpart of the Kerr-Newman solution still remains to be found analytically. Numerical solutions for some special cases in five dimensions were given in \cite{knp}. As is known, the strategy of obtaining the Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged black hole. In practice, this amounts to an appropriate re-scaling of the mass parameter in the metric of uncharged black holes. In the framework of a similar approach, I shall discuss a special metric ansatz in $\,N+1\, $ dimensions and present a new analytic solution to the Einstein-Maxwell system of equations. It describes rotating charged black holes with a single angular momentum in the limit of slow rotation. I shall also present the metric for a slowly rotating charged black hole with two independent angular momenta in five dimensions. Finally, I shall discuss the gyromagnetic ratio of these black holes and show that it corresponds to the value $\,g=N-1\,$. \noindent The report will be based on recent works \cite{ali1,ali2}. \begin{thebibliography}{99} \bibitem{knp} J. Kunz, F. Navarro-Lerida and A. K. Petersen, Phys. Lett. B {\bf 614}, 104 (2005) \bibitem{ali1} A. N. Aliev, Mod. Phys. Lett. A {\bf 21}, 751 (2006) \bibitem{ali2} A. N. Aliev, hep-th/0604207 \end{thebibliography} \end{document}