All stationary axi-symmetric local solutions of topologically massive gravity

Understand

We classify all stationary axi-symmetric solutions of topologically massive gravity into Einstein, Schr\"odinger, 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.