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arxiv: hep-th/0409150 · v2 · pith:7QSAKNSXnew · submitted 2004-09-14 · ✦ hep-th · gr-qc

pp Waves of Conformal Gravity with Self-Interacting Source

classification ✦ hep-th gr-qc
keywords conformalgravitygivenmodelpotentialself-interactingsourcewave
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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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