Rotating Dilaton Black Holes

Abstract

We consider the axially symmetric coupled system of gravitation, electromagnetism and a dilaton field. Reducing from four to three dimensions, the system is described by gravity coupled to a non-linear $\sigma$-model. We find the target space isometries and use them to generate new solutions. It seems that it is only possible to generate rotating solutions from non-rotating ones for the special cases when the dilaton coupling parameter $a=0,\pm \sqrt{3}$. For those particular values, the target space symmetry is enlarged.

11 pages, RevTex, one figure included

References in corpus (7)

• Rotating Charged Black Hole Solution in Heterotic String Theory
• Black Holes as Elementary Particles
• Supersymmetric Self-Gravitating Solitons
• Ehlers--Harrison--Type Transformations in Dilaton--Axion Gravity
• Supersymmetry and Stationary Solutions in Dilaton-Axion Gravity
• Spinning a charged dilaton black hole
• Scattering of Fermions off Dilaton Black Holes

Cited by in corpus (2)

• Non-asymptotically flat, non-AdS dilaton black holes
• Shadows of rotating Einstein-Maxwell-dilaton black holes surrounded by a plasma