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All stationary axisymmetric local solutions of topologically massive gravity. (English) Zbl 1204.83067

Summary: We classify all stationary axisymmetric solutions of topologically massive gravity into Einstein, Schrödinger, warped and generic solutions. We construct explicitly all local solutions in the first three sectors and present an algorithm for the numerical construction of all local solutions in the generic sector. The only input for this algorithm is the value of one constant of motion if the solution has an analytic centre, and three constants of motion otherwise. We present several examples, including soliton solutions that asymptote to warped AdS.

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C15 Exact solutions to problems in general relativity and gravitational theory
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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