Remarks on the linking theory of shape dynamics

DOI10.1142/S0219887818500986zbMath1471.83005OpenAlexW2788388202MaRDI QIDQ4641541

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Publication date: 17 May 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500986

zbMATH Keywords

gauge-fixingshape dynamicssymplectic inductionlinking theory

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Constrained dynamics, Dirac's theory of constraints (70H45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

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• The York map is a canonical transformation
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• Reduction of symplectic manifolds with symmetry
• Role of surface integrals in the Hamiltonian formulation of general relativity
• A universal phase space for particles in Yang-Mills fields
• The link between general relativity and shape dynamics
• Einstein gravity as a 3D conformally invariant theory
• The Manifold of Conformally Equivalent Metrics
• Hamiltonian group actions and dynamical systems of calogero type
• Quantum Theory of Gravity. I. The Canonical Theory

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