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 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 real symmetric matrices generalizing the scalar hierarchy of Kinnersley--Chitre known for the vacuum Einstein equations.
Keywords
Cite
@article{arxiv.hep-th/9606041,
title = {Geroch--Kinnersley--Chitre group for Dilaton--Axion Gravity},
author = {D. V. Gal'tsov},
journal= {arXiv preprint arXiv:hep-th/9606041},
year = {2022}
}
Comments
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