pp Waves of Conformal Gravity with Self-Interacting Source

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, minor changes, accepted in Ann. Phys

Scientific paper

10.1016/j.aop.2004.11.006

Recently, Deser, Jackiw and Pi have shown that three-dimensional conformal gravity with a source given by a conformally coupled scalar field admits pp wave solutions. In this letter, we consider this model with a self-interacting potential preserving the conformal structure. A pp wave geometry is also supported by this system and, we show that this model is equivalent to topologically massive gravity with a cosmological constant whose value is given in terms of the potential strength.

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