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pp Waves of Conformal Gravity with Self-Interacting Source

Eloy Ayón-Beato·Mokhtar Hassaïne
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Abstract

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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Eloy Ayón-Beato, Mokhtar Hassaïne. 2004-11-22. pp Waves of Conformal Gravity with Self-Interacting Source. https://doi.org/10.1016/j.aop.2004.11.006

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