Canonical Structure of Higher Derivative Gravity in 3D

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.

14 pages, references added, version to appear in PRD

References in corpus (8)

• Massive Gravity in Three Dimensions
• Avoiding Dark Energy with 1/R Modifications of Gravity
• More on Massive 3D Gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Ghost-free, finite, fourth order D=3 (alas) gravity
• Warped AdS_3 black holes in new massive gravity
• On the Generalized Massive Gravity in $Ad{S}_3$
• Topologically massive gravity as a Pais-Uhlenbeck oscillator

Cited by in corpus (5)

• Born-Infeld extension of new massive gravity
• c-functions in the Born-Infeld extended New Massive Gravity
• Unitarity analysis of general Born-Infeld gravity theories
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions