Abstract
A Kinnersley—type representation is constructed for the four—dimensional Einstein— Maxwell—dilaton—axion system restricted to space—times possessing two non—null cornmuting Killing symmetries. The 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 × 2 real symmetric matrices directly generalizing the scalar hierarchy of Kinnersley—Chitre known for the vacuum Einstein equations.
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Gal’tsov, D.V. (1996). Geroch—Kinnersley—Chitre Group for Dilaton—Axion Gravity. In: Bordag, M. (eds) Quantum Field Theory Under the Influence of External Conditions. TEUBNER-TEXTE zur Physik, vol 30. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-01204-7_42
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DOI: https://doi.org/10.1007/978-3-663-01204-7_42
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