The reduced phase space of Palatini-Cartan-Holst theory

DOI10.1007/s00023-018-0733-zzbMath1411.83009arXiv1707.05351OpenAlexW2737897418MaRDI QIDQ1725706

Michele Schiavina, Alberto Sergio Cattaneo

Publication date: 14 February 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05351

zbMATH Keywords

reduced phase spacegauge theorygeneral relativityEinstein-Hilbert approachPalatini-Cartan-Holst theory

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (6)

BV analysis of Polyakov and Nambu-Goto theories with boundary ⋮ Routh reduction of Palatini gravity in vacuum ⋮ Gravitational constraints on a lightlike boundary ⋮ BV equivalence between triadic gravity and BF theory in three dimensions ⋮ Asymptotic symmetries in the BV-BFV formalism ⋮ General relativity and the AKSZ construction

Cites Work

• Classical BV theories on manifolds with boundary
• On time
• Invariance of the BFV complex
• BV equivalence between triadic gravity and BF theory in three dimensions
• Variational formulation of general relativity from 1915 to 1925 Palatini's method discovered by Einstein in 1925
• BFV-complex and higher homotopy structures
• Symmetric space Cartan connections and gravity in three and four dimensions
• A symplectic framework for field theories
• Reduction of symplectic manifolds with symmetry
• BV-BFV approach to general relativity: Einstein-Hilbert action
• Lorentz Invariance and the Gravitational Field
• Palatini formalism and new canonical variables for GL(4)-invariant gravity
• The inverse function theorem of Nash and Moser
• Real and complex connections for canonical gravity
• Gauge Theories of Gravitation
• Generalized Hamiltonian Dynamics
• A generalized canonical formalism and quantization of reducible gauge theories

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