BV-BFV approach to general relativity: Einstein-Hilbert action

DOI10.1063/1.4941410zbMath1336.83007arXiv1509.05762OpenAlexW3102522131MaRDI QIDQ2795596

Alberto Sergio Cattaneo, Michele Schiavina

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05762

zbMATH Keywords

Riemannian manifoldEinstein-Hilbert actionArnowitt-Deser-Misner formalismBV-BFV formulation

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (13)

BV analysis of Polyakov and Nambu-Goto theories with boundary ⋮ A gauge-invariant symplectic potential for tetrad general relativity ⋮ BV equivalence with boundary ⋮ The reduced phase space of Palatini-Cartan-Holst theory ⋮ L ∞ -algebras of Einstein–Cartan–Palatini gravity ⋮ Gravitational constraints on a lightlike boundary ⋮ On time ⋮ BV equivalence between triadic gravity and BF theory in three dimensions ⋮ BV-BFV approach to general relativity: Einstein-Hilbert action ⋮ Asymptotic symmetries in the BV-BFV formalism ⋮ General relativity and the AKSZ construction ⋮ Towards holography in the BV-BFV setting ⋮ Theta invariants of lens spaces via the BV-BFV formalism

Cites Work

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• On time
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• BV-BFV approach to general relativity: Einstein-Hilbert action
• Dynamical Structure and Definition of Energy in General Relativity
• GROUPOID SYMMETRY AND CONSTRAINTS IN GENERAL RELATIVITY
• Semiclassical Quantization of Classical Field Theories
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