Geroch--Kinnersley--Chitre group for Dilaton--Axion Gravity

Abstract

Kinnersley--type representation is constructed for the four--dimensional Einstein--Maxwell--dilaton--axion system restricted to space--times possessing two non--null commuting Killing symmetries. New representation essentially uses the matrix--valued $SL(2,R)$ formulation and effectively reduces the construction of the Geroch group to the corresponding problem for the vacuum Einstein equations. An infinite hierarchy of potentials is introduced in terms of $2\times 2$ real symmetric matrices generalizing the scalar hierarchy of Kinnersley--Chitre known for the vacuum Einstein equations.

Published in ``Quantum Field Theory under the Influence of External Conditions'', M. Bordag (Ed.) (Proc. of the International Workshop, Leipzig, Germany, 18--22 September 1995), B.G. Teubner Verlagsgessellschaft, Stuttgart--Leipzig, 1996, pp. 228-237

References in corpus (6)

• Ehlers--Harrison--Type Transformations in Dilaton--Axion Gravity
• O(2,2) Transformations and the String Geroch Group
• Integrable Systems in Stringy Gravity
• Classical Symmetries of Some Two-Dimensional Models
• Matrix Dilaton-Axion for Heterotic String in Three Dimensions
• HIDDEN SYMMETRIES OF TWO DIMENSIONAL STRING EFFECTIVE ACTION

Cited by in corpus (3)

• Ehlers-Harrison transformations and black holes in Dilaton-Axion Gravity with multiple vector fields
• Generating solutions via sigma-models
• Square of General Relativity