Lorentz Invariance in Shape Dynamics

Abstract

Shape dynamics is a reframing of canonical general relativity in which time reparametrization invariance is "traded" for a local conformal invariance. We explore the emergence of Lorentz invariance in this model in three contexts: as a maximal symmetry, an asymptotic symmetry, and a local invariance.

v2: discussion of light cone structure added; minor typos fixed; 14 pages

References in corpus (3)

• Einstein gravity as a 3D conformally invariant theory
• Lifshitz Gravity for Lifshitz Holography
• 3+1 geodesic equation and images in numerical spacetimes

Cited by in corpus (1)

• Where to Apply Relationalism