Stationary Dilatons with Arbitrary Electromagnetic Field

Abstract

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 $\tau$. $\lambda$ determines the gravitational potential and $\tau$ the electromagnetic 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 $q=\delta =0$.

14 latex pages, no figures

References in corpus (3)

• Symmetries of the stationary Einstein--Maxwell--dilaton theory
• Class of Einstein--Maxwell Dilatons
• Axisymmetric Stationary Solutions as Harmonic Maps

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