Brief Note on Thurston Geometries in 3D Quadratic Curvature Theories

Abstract

We show that Thurston geometries are solutions to a large class of 3D quadratic curvature theories, where New Massive Gravity, which was studied in arXiv:2104.00754, is a special case.

5 pages + references, version to appear in PRD

References in corpus (10)

• Ricci flow with surgery on three-manifolds
• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Minimal Massive 3D Gravity
• Canonical Structure of Higher Derivative Gravity in 3D
• Cotton flow
• Particle Content of Quadratic and $f(R_{\mu \nu \sigma \rho })$ Theories in $(A)dS$
• Contact Geometry in Superconductors and New Massive Gravity
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Thurston Geometries in Three-Dimensional New Massive Gravity