ADM pseudotensors, conserved quantities and covariant conservation laws in general relativity

DOI10.1016/j.aop.2012.02.010zbMath1246.83053arXiv1007.4071OpenAlexW2070534504MaRDI QIDQ436265

Lorenzo Fatibene, Luca Lusanna, Mauro Francaviglia, Marco Ferraris

Publication date: 20 July 2012

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

Full work available at URL: https://arxiv.org/abs/1007.4071

zbMATH Keywords

conservation lawsrelativistic theoryADM method

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (5)

The Cauchy problem in general relativity: an algebraic characterization ⋮ Conformal gravity: light deflection revisited and the galactic rotation curve failure ⋮ Constraining the physical state by symmetries ⋮ Non-inertial Frames in Special and General Relativity ⋮ Canonical ADM tetrad gravity: From metrological inertial gauge variables to dynamical tidal Dirac observables

Cites Work

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• Role of surface integrals in the Hamiltonian formulation of general relativity
• Remarks on Noether charges and black holes entropy
• The entropy of the Taub-Bolt solution
• The Poincaré group as the symmetry group of canonical general relativity
• Thermodynamics of \((d+1)\)-dimensional NUT-charged AdS spacetimes
• The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field
• Nöther charges, Brown–York quasilocal energy, and related topics
• THE ENERGY OF A SOLUTION FROM DIFFERENT LAGRANGIANS
• CHARGED PARTICLES AND THE ELECTRO-MAGNETIC FIELD IN NONINERTIAL FRAMES OF MINKOWSKI SPACE–TIME II: "APPLICATIONS: ROTATING FRAMES, SAGNAC EFFECT, FARADAY ROTATION, WRAP-UP EFFECT"
• Total energy momentum in general relativity
• A definition of asymptotically Minkowskian space–times
• Currents and superpotentials in classical gauge theories: II. Global aspects and the example of affine gravity
• Hamiltonian, energy and entropy in general relativity with non-orthogonal boundaries
• CHARGED PARTICLES AND THE ELECTRO-MAGNETIC FIELD IN NONINERTIAL FRAMES OF MINKOWSKI SPACE-TIME I: ADMISSIBLE 3 + 1 SPLITTINGS OF MINKOWSKI SPACE-TIME AND THE NONINERTIAL REST FRAMES
• Towards the quasi-localization of canonical general relativity
• AUGMENTED VARIATIONAL PRINCIPLES AND RELATIVE CONSERVATION LAWS IN CLASSICAL FIELD THEORY
• THE RELATIVE ENERGY OF HOMOGENEOUS AND ISOTROPIC UNIVERSES FROM VARIATIONAL PRINCIPLES

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