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arXiv · hep-th/9611178

General Static Spherical Solutions of d-dimensional Charged Dilaton Gravity Theories

Youngjai Kiem·Dahl Park
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Abstract

We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions for the static equations of motion, we find field redefinitions that nearly reduce these theories to the d-dimensional Einstein-Maxwell-Scalar theories, and therefore enable us to get the exact solutions. We do not make any assumption about the asymptotic space-time structure. As a result, our 4-dimensional solutions contain the asymptotically flat Garfinkle-Horowitz-Strominger (GHS) solutions and the non-asymptotically flat Chan-Horne-Mann (CHM) solutions. Besides, we find some new solutions with a finite range of allowed radius of the transversal sphere. These results generalize to an arbitrary space-time dimension d (d>3).

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Youngjai Kiem, Dahl Park. 1996-11-22. General Static Spherical Solutions of d-dimensional Charged Dilaton Gravity Theories. https://doi.org/10.1016/s0550-3213(96)00658-x

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