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Canonical structure of higher derivative gravity in 3D

Gullu, Ibrahim
Sisman, Tahsin Cagri
Tekin, Bayram
We give an explicitly gauge-invariant canonical analysis of linearized quadratic gravity theories in three dimensions for both flat and de Sitter backgrounds. In flat backgrounds, we also study the effects of the gravitational Chern-Simons term, include the sources, and compute the weak field limit as well as scattering between spinning massive particles.