Cotton Blend Gravity $pp$ Waves

Abstract

We study conformal gravity in d=2+1, where the Cotton tensor is equated to a--necessarily traceless--matter stress tensor, for us that of the improved scalar field. We first solve this system exactly in the $pp$ wave regime, then show it to be equivalent to topologically massive gravity.

6 pages. Dedicated to Andrzej Staruszkiewicz, a pioneer in d=3 gravity, on his 65th birthday

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