Canonical Structure of Higher Derivative Gravity in 3D
Ibrahim Gullu, Tahsin Cagri Sisman, Bayram Tekin

TL;DR
This paper provides a gauge-invariant canonical analysis of quadratic gravity theories in three dimensions, examining flat and de-Sitter backgrounds, including effects of Chern-Simons terms, sources, and particle scattering.
Contribution
It offers a novel gauge-invariant canonical framework for higher derivative gravity in 3D, incorporating Chern-Simons effects and source interactions.
Findings
Explicit gauge-invariant canonical formulation derived.
Effects of gravitational Chern-Simons term analyzed.
Weak field limit and scattering of spinning particles computed.
Abstract
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 gravitational Chern-Simons term, and include the sources, compute the weak field limit as well as scattering between spinning massive particles.
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