Conformal Superspace: the configuration space of general relativity
arXiv:1009.3559
Abstract
It has long been considered that conformal superspace is the natural configuration space for canonical general relativity. However, this was never definitively demonstrated. We have found that the standard conformal method of solving the Einstein constraints has an unexpected extra symmetry. This allows us to complete the project. We show that given a point and a velocity in conformal superspace, the Einstein equations generate a unique curve in conformal superspace.
Cited by in corpus (23)
- The Link between General Relativity and Shape Dynamics
- A Shape Dynamics Tutorial
- Frequently asked questions about Shape Dynamics
- A real ensemble interpretation of quantum mechanics
- Bouncing Unitary Cosmology I: Mini-Superspace General Solution
- Classical Machian Resolution of the Spacetime Reconstruction Problem
- Spatially Covariant Theories of a Transverse, Traceless Graviton, Part I: Formalism
- On the Origin of Gravitational Lorentz Covariance
- Time asymmetric extensions of general relativity
- Dynamics of the cosmological and Newton's constant
- Shape dynamics and Mach's principles: Gravity from conformal geometrodynamics
- Configuration Spaces in Fundamental Physics
- Entropy and the Typicality of Universes
- Scale Anomaly as the Origin of Time
- Cosmological signatures of time-asymmetric gravity
- Geometry from Information Geometry
- Relational Quadrilateralland. Analogues of Isospin and Hypercharge
- Problem of Time: Temporal Relationalism Compatibility of Other Local Classical Facets Completed
- Where to Apply Relationalism
- Linking shape dynamics and loop quantum gravity
- Relational Quadrilateralland Interpretation of CP^2 and Quotients
- 'Shape Dynamics': Foundations Reassessed
- A Tour Through Shape Dynamic Black Holes