Abstract
Using our new, simplified approach the infinite-dimensional invariance group (the Geroch group) for vacuum Einstein (or Einstein-Maxwell) equations with metrics depending on only two coordinates is enlarged with the number of generators doubled. Its Lie algebra is extended from the half Kac-Moody algebra SL(2, R) ⊗ R[ t] to the full one SL(2, R) ⊗ R[ t, t −1] (without central charge), when the group is realized by nontrivial transformations on the metric tensor.
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