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Stationary dilatons with arbitrary electromagnetic field

Tonatiuh MatosInstituto de Física y Matemáticas, Universidad Michoacana de San Nicolas de Hidalgo, PO Box 2-82, 58040 Morelia, Michoacán, MexicoCésar MoraDepartamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, PO Box 14-740, 07000 México DF, Mexico
1997en
ABI

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We present two new classes of axisymmetric stationary solutions of the Einstein-Maxwell-Dilaton equations with coupling constant $\\alpha^2=3$. Both classes are written in terms of two harmonic maps $\\lambda$ and $\\tau$. one in such a form that we can have an arbitrary electromagnetic field. As examples we generate two solutions with mass ($M$), rotation ($s$) and scalar ($\\delta$) parameters, one with electric charge ($q$) another one with magnetic dipole ($Q$) parameter. The first solution contains the Kerr metric for $q=\\delta=0$.

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