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gr-qcApr 1, 2014
7
citations (OpenAlex)
authors
  • S. Carlip
  • H. Gomes
institutions
  • University of California, Davis
arXiv abstractPDF
paper

Lorentz Invariance in Shape Dynamics

arXiv:1404.3696 · doi:10.1088/0264-9381/32/1/015021

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 (14)

  • The Dynamics of General Relativity
  • The Stueckelberg Field
  • Einstein gravity as a 3D conformally invariant theory
  • Lifshitz Gravity for Lifshitz Holography
  • The Link between General Relativity and Shape Dynamics
  • Holography for asymptotically locally Lifshitz spacetimes
  • Killing Initial Data
  • Extremal and nonextremal Kerr/CFT correspondences
  • Frequently asked questions about Shape Dynamics
  • A Birkhoff theorem for Shape Dynamics
  • 3+1 geodesic equation and images in numerical spacetimes
  • Poincaré invariance and asymptotic flatness in Shape Dynamics
  • A Rotating Black Hole Solution for Shape Dynamics
  • Affine group formulation of the Standard Model coupled to gravity

Cited by in corpus (5)

  • Where to Apply Relationalism
  • Shape Dynamical Loop Gravity from a Conformal Immirzi Parameter
  • Observing Shape in Spacetime
  • Towards Black Hole Entropy in Shape Dynamics
  • A Tour Through Shape Dynamic Black Holes
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