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We classify all stationary axi-symmetric solutions of topologically massivegravity into Einstein, Schr\"odinger, warped and generic solutions. Weconstruct explicitly all local solutions in the first three sectors and presentan algorithm for the numerical construction of all local solutions in thegeneric sector. The only input for this algorithm is the value of one constantof motion if the solution has an analytic centre, and three constants of motionotherwise. We present several examples, including soliton solutions thatasymptote to warped AdS.

All stationary axi-symmetric local solutions of topologically massive gravity