Hamiltonian and Noether charges in first order gravity

DOI10.1007/s10714-014-1813-0zbMath1308.83021arXiv1312.7828OpenAlexW2007772366WikidataQ57564303 ScholiaQ57564303MaRDI QIDQ2263767

Iraís Rubalcava-García, Alejandro Corichi, Tatjana Vukašinac

Publication date: 19 March 2015

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7828

zbMATH Keywords

action principleconserved chargesHamiltonian formulationtopological termsboundary termsasymptotically flat configurations

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) 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) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (13)

A gravitationally induced decoherence model using Ashtekar variables ⋮ Edge modes of gravity. I: Corner potentials and charges ⋮ Edge modes of gravity. II: Corner metric and Lorentz charges ⋮ A note on dual gravitational charges ⋮ Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity ⋮ A gauge-invariant symplectic potential for tetrad general relativity ⋮ Conserved charges in Chern-Simons modified theory and memory effects ⋮ Boundary effects in general relativity with tetrad variables ⋮ BMS current algebra in the context of the Newman–Penrose formalism ⋮ First law of black hole mechanics with fermions ⋮ Most general theory of 3d gravity: covariant phase space, dual diffeomorphisms, and more ⋮ Near horizon gravitational charges ⋮ Weakly isolated horizons: 3 + 1 decomposition and canonical formulations in self-dual variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Republication of: The dynamics of general relativity
• Geometrodynamics vs. connection dynamics
• Real formulations of complex gravity and a complex formulation of real gravity
• Boundary conditions from boundary terms, Noether charges and the trace K Lagrangian in general relativity
• Self-dual gravity with topological terms
• Actions, topological terms and boundaries in first-order gravity: A review
• Imaginary action, spinfoam asymptotics and the ‘transplanckian’ regime of loop quantum gravity
• Surface terms, asymptotics and thermodynamics of the Holst action
• Invariant Theoretical Interpretation of Interaction
• Lorentz Invariance and the Gravitational Field
• HAMILTONIAN ANALYSIS OF GENERAL RELATIVITY WITH THE IMMIRZI PARAMETER
• Mechanics of higher dimensional black holes in asymptotically anti-de Sitter spacetimes
• Covariant canonical formalism for four-dimensional BF theory
• Local symmetries and constraints
• Asymptotics and Hamiltonians in a first-order formalism
• Supersymmetric isolated horizons
• A TORSIONAL TOPOLOGICAL INVARIANT
• General definition of “conserved quantities” in general relativity and other theories of gravity
• The Palatini principle for manifold with boundary
• An identity in Riemann–Cartan geometry
• Black hole entropy and higher curvature interactions
• Geometry of generic isolated horizons
• Isolated horizons in higher dimensional Einstein–Gauss–Bonnet gravity
• Hamiltonian treatment of linear field theories in the presence of boundaries: a geometric approach
• General Relativity

This page was built for publication: Hamiltonian and Noether charges in first order gravity