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

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

1996-06-07

arxiv.org/abs/hep-th/9606041v1

Physics

High Energy Physics

High Energy Physics - Theory

Published in ``Quantum Field Theory under the Influence of External Conditions'', M. Bordag (Ed.) (Proc. of the International

Scientific paper

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.

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