All stationary axi-symmetric local solutions of topologically massive gravity

Details All stationary axi-symmetric local solutions of topologically massive gravity All stationary axi-symmetric local solutions of topologically massive gravity

2010-06-16

arxiv.org/abs/1006.3309v3

Class.Quant.Grav.27:225021,2010

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 9 figures. v2: Changed potentially confusing labelling of one sector, added references. v3: Minor changes, matches p

Scientific paper

10.1088/0264-9381/27/22/225021

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.

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