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arXiv · hep-th/9504155

Symmetries of the stationary Einstein--Maxwell--dilaton theory

D. V. Gal'tsov·A. A. Garcia·O. V. Kechkin
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Abstract

Gravity coupled three--dimensional $σ$--model describing the stationary Einstein--Maxwell--dilaton system with general dilaton coupling is studied. Killing equations for the corresponding five--dimensional target space are integrated. It is shown that for general coupling constant $α$ the symmetry algebra is isomorphic to the maximal solvable subalgebra of $sl(3,R)$. For two critical values $α=0$ and $α=\sqrt{3}$, Killing algebra enlarges to the full $sl(3,R)$ and $su(2,1)\times R$ algebras respectively, which correspond to five--dimensional Kaluza--Klein and four--dimensional Brans--Dicke--Maxwell theories. These two models are analyzed in terms of the unique real variables. Relation to the description in terms of complex Ernst potentials is discussed. Non--trivial discrete maps between different subspaces of the target space are found and used to generate new arbitrary--$α$ solutions to dilaton gravity.

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D. V. Gal'tsov, A. A. Garcia, O. V. Kechkin. 1995-04-28. Symmetries of the stationary Einstein--Maxwell--dilaton theory. https://doi.org/10.1088/0264-9381%2F12%2F12%2F007

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