Classification of solutions in topologically massive gravity

Details Classification of solutions in topologically massive gravity Classification of solutions in topologically massive gravity

2009-06-19

arxiv.org/abs/0906.3559v3

Class. Quant. Grav. 27:105001,2010

Physics

High Energy Physics

High Energy Physics - Theory

39 pages. v1 split into 2 separate papers. This version is the first of the two, containing the classification of solutions, w

Scientific paper

10.1088/0264-9381/27/10/105001

We study exact solutions of three-dimensional gravity with a cosmological constant and a gravitational Chern-Simons term: the theory known as topologically massive gravity. After reviewing the algebraic classification, we show that if a solution has curvature of algebraic type D, then it is biaxially squashed AdS_3. Applying the classification, we provide a comprehensive review of the literature, showing that most known solutions are locally equivalent to biaxially squashed AdS_3 or to AdS pp-waves.

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