Dynamical Structure and Definition of Energy in General Relativity
From MaRDI portal
Publication:3268099
DOI10.1103/PhysRev.116.1322zbMath0092.20704OpenAlexW2608208317WikidataQ21709520 ScholiaQ21709520MaRDI QIDQ3268099
Charles W. Misner, Richard Arnowitt, Stanley Deser
Publication date: 1959
Published in: Physical Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrev.116.1322
Related Items
Configurational entropy of black hole quantum cores ⋮ Curvatures and discrete Gauss–Codazzi equation in (2 + 1)-dimensional loop quantum gravity ⋮ Energy in gravitation and Noether’s theorems ⋮ On the coupling of relativistic particle to gravity and Wheeler–DeWitt quantization ⋮ GRAMSES: a new route to general relativistic N-body simulations in cosmology. Part I. Methodology and code description ⋮ Gravitational antiscreening in stellar interiors ⋮ A generalized form of the Raychaudhuri equation ⋮ The effects of potential shape on inhomogeneous inflation ⋮ A CANONICAL APPROACH TO THE EINSTEIN–HILBERT ACTION IN TWO SPACETIME DIMENSIONS ⋮ Robustness of slow contraction to cosmic initial conditions ⋮ Gravitational waves — A review on the theoretical foundations of gravitational radiation ⋮ Absence of covariant singularities in pure gravity ⋮ Coordinate Conditions and Canonical Formalisms in Gravitational Theory ⋮ The Einstein Equations of Evolution-A Geometric Approach ⋮ Self-interacting gravitational atoms in the strong-gravity regime ⋮ Covariant phase space formulation of parametrized field theories ⋮ Gravitational decoherence ⋮ Tensors and algebras: an algebraic spacetime interpretation for tensor models ⋮ Transforming singular black holes into regular black holes sourced by nonlinear electrodynamics ⋮ Hamiltonian Analysis of 3-Dimensional Connection Dynamics in Bondi-like Coordinates ⋮ Metrics with \(\lambda_1(-\Delta + k R) \ge 0\) and flexibility in the Riemannian Penrose inequality ⋮ The Yamabe problem ⋮ Numerical solutions for the f(R)-Klein–Gordon system ⋮ Gauge/frame invariant variables for the numerical relativity study of cosmological spacetimes ⋮ Review of the Hamiltonian analysis in teleparallel gravity ⋮ New monotonicity for \(p\)-capacitary functions in 3-manifolds with nonnegative scalar curvature ⋮ Toward a classification of conformal hypersurface invariants ⋮ A new proof of the Riemannian Penrose inequality ⋮ Quasi-Local Masses of Rotating Space-Times * ⋮ Quantum rotating black holes ⋮ On scalar charges and black hole thermodynamics ⋮ Quantum dust cores of black holes ⋮ Well-posed evolution of field theories with anisotropic scaling: the Lifshitz scalar field in a black hole space-time ⋮ BMS-supertranslation charges at the critical sets of null infinity ⋮ Brown–York energy in stationary spacetimes ⋮ GiRaFFE: an open-source general relativistic force-free electrodynamics code ⋮ About gravitational-wave generation by a three-body system ⋮ ELLIPTIC CURVES, ALGEBRAIC GEOMETRY APPROACH IN GRAVITY THEORY AND UNIFORMIZATION OF MULTIVARIABLE CUBIC ALGEBRAIC EQUATIONS ⋮ REVISED CANONICAL QUANTUM GRAVITY VIA THE FRAME FIXING ⋮ Bouncing and emergent cosmologies from Arnowitt–Deser–Misner RG flows ⋮ Einstein’s gravity from a polynomial affine model ⋮ A brief note on Weyl frames and canonical transformations in geometrical scalar–tensor theories of gravity ⋮ PECULIARITIES OF THE CANONICAL ANALYSIS OF THE TWO-DIMENSIONAL FIRST-ORDER EINSTEIN–HILBERT ACTION IN TERMS OF THE METRIC TENSOR OR THE METRIC DENSITY ⋮ GENERATING FUNCTIONAL FOR THE GRAVITATIONAL FIELD: IMPLEMENTATION OF AN EVOLUTIONARY QUANTUM DYNAMICS ⋮ GROUPOID SYMMETRY AND CONSTRAINTS IN GENERAL RELATIVITY ⋮ Classical and quantum analysis of 3D electromagnetic pp-wave spacetime ⋮ New perspectives on the TOV equilibrium from a dual null approach ⋮ Constraint algebra in tetrad bigravity ⋮ Rapidly rotating compact stars in Rastall’s gravity ⋮ Continuity equations for general matter: applications in numerical relativity ⋮ Black holes in the quadratic-order extended vector–tensor theories ⋮ Gravitational analog of the canonical acoustic black hole in Einstein–scalar–Gauss–Bonnet theory ⋮ First-order Lagrangian and Hamiltonian of Lovelock gravity ⋮ Degenerate Hořava gravity ⋮ Quantum creation of a toy Universe without inflation ⋮ Compact sources and cosmological horizons in lower dimensional bootstrapped Newtonian gravity ⋮ Breaking the warp barrier: hyper-fast solitons in Einstein–Maxwell-plasma theory ⋮ A Lie algebra based approach to asymptotic symmetries in general relativity ⋮ THE CANONICAL STRUCTURE OF THE FIRST-ORDER EINSTEIN–HILBERT ACTION ⋮ Three-Dimensional Geometry as Carrier of Information about Time ⋮ Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories ⋮ Hamiltonian reduction of unconstrained and constrained systems ⋮ Applying the Euclidean-signature semi-classical method to the quantum Taub models with a cosmological constant and aligned electromagnetic field ⋮ Canonical general relativity: The diffeomorphism constraints and spatial frame transformations ⋮ Anti-de Sitter Geometry and Teichmüller Theory ⋮ Covariant quantization of the gravitational field ⋮ A CANONICAL ANALYSIS OF THE EINSTEIN–HILBERT IN FIRST ORDER FORM ⋮ On the corpuscular theory of gravity ⋮ The Poincaré variational principle in the Lagrange–Poincaré reduction of mechanical systems with symmetry ⋮ Substituting fields within the action: Consistency issues and some applications ⋮ NRPyCritCol & SFcollapse1D: an open-source, user-friendly toolkit to study critical phenomena ⋮ BiGONLight: light propagation with bilocal operators in numerical relativity ⋮ The reconstruction of tachyon inflationary potentials ⋮ Superspace and global stability in general relativity ⋮ The physical content of long tensor modes in cosmology ⋮ Asymptotic symmetries in de Sitter and inflationary spacetimes ⋮ Eliminating the LIGO bounds on primordial black hole dark matter ⋮ Ultralocality and slow contraction ⋮ The general relativistic constraint equations ⋮ Quantum renormalization group and holography ⋮ Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes ⋮ Effective field theory of dark energy: a review ⋮ A quantum informational approach to the problem of time ⋮ Dirac and Lagrangian reductions in the canonical approach to the first-order form of the Einstein-Hilbert action ⋮ Emergent gravity from relatively local Hamiltonians and a possible resolution of the black hole information puzzle ⋮ Scalar charges and the first law of black hole thermodynamics ⋮ Rigidity of stable minimal hypersurfaces in asymptotically flat spaces ⋮ A functional renormalization group equation for foliated spacetimes ⋮ Dynamically self-regular quantum harmonic black holes ⋮ A stealth defect of spacetime ⋮ EPRL/FK asymptotics and the flatness problem ⋮ \(\mathrm{O}(D, D)\) covariant Noether currents and global charges in double field theory ⋮ Rigidity of stable marginally outer trapped surfaces in initial data sets ⋮ Gravitational multipole moments from Noether charges ⋮ Shadows and strong gravitational lensing: a brief review ⋮ Dyonically charged black holes arising in generalized Born-Infeld theory of electromagnetism ⋮ Edge modes of gravity. I: Corner potentials and charges ⋮ Edge modes of gravity. II: Corner metric and Lorentz charges ⋮ Soft de Sitter effective theory ⋮ An AdS/EFT correspondence at large charge ⋮ Hamiltonian dynamics of space ⋮ Constrained metric variations and emergent equilibrium surfaces ⋮ A positive mass theorem for manifolds with boundary ⋮ The invisibility of diffeomorphisms ⋮ Complexity and the bulk volume, a New York time story ⋮ The weak gravity conjecture and the viscosity bound with six-derivative corrections ⋮ Holographic description of quantum field theory ⋮ A pilot study on canonical gravity with mass dimension one fermions ⋮ Improved Wald formalism and first law of dyonic black strings with mixed Chern-Simons terms ⋮ Thermodynamics of Taub-NUT and Plebanski solutions ⋮ Massless scalars and higher-spin BMS in any dimension ⋮ Holographic BCFT spectra from brane mergers ⋮ Calling time on digital clocks ⋮ FLRW cosmology with Horava-Lifshitz gravity: impacts of equations of state ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ Fractional action cosmology with variable order parameter ⋮ Complexity equals anything. II. ⋮ Capacity, quasi-local mass, and singular fill-ins ⋮ Energy and the Criteria for Radiation in General Relativity ⋮ Canonical Variables for General Relativity ⋮ A solution to Einstein's equations for the mixmaster universe in complex general relativity ⋮ Classifying diamagnetic states of plasma near Schwarzschild event horizon: local approximation ⋮ Gravitational-Electromagnetic Coupling and the Classical Self-Energy Problem ⋮ A covariant canonical quantization of general relativity ⋮ Generalized geometry and M theory ⋮ On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations ⋮ Entangled states in quantum cosmology and the interpretation of \(\Lambda \) ⋮ Affine gravity, Palatini formalism and charges ⋮ Asymptotic Covariant Conservation Laws for Gravitational Radiation ⋮ Holographic glueballs from the circle reduction of Romans supergravity ⋮ Amplitudes, observables, and classical scattering ⋮ Horizon quantum mechanics: spherically symmetric and rotating sources ⋮ Thermodynamics of gravitational clustering phenomena:N-body self-gravitating gas on the sphere ${{\mathbb{S}}^{3}}\subset {{\mathbb{R}}^{4}}$ ⋮ Generalized disformal invariance of cosmological perturbations with second-order field derivatives ⋮ The canonical formulation of \(E_{6(6)}\) exceptional field theory ⋮ Strings in bimetric spacetimes ⋮ Canonical formulation of spin in general relativity ⋮ On the ground state of quantum gravity ⋮ Superrotation charge and supertranslation hair on black holes ⋮ Heat kernel methods for Lifshitz theories ⋮ Gravitational path integral from the \(T^2\) deformation ⋮ Editorial note to: R. Arnowitt, S. Deser, C. W. Misner, The dynamics of general relativity ⋮ Effective and exact holographies from symmetries and dualities ⋮ Quantum gravity in everyday life: general relativity as an effective field theory ⋮ \(G_2\)-manifolds and the ADM formalism ⋮ Combing gravitational hair in 2 + 1 dimensions ⋮ Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces ⋮ Quantum gravity: A brief history of ideas and some prospects ⋮ Cosmological solutions, a new Wick-rotation, and the first law of thermodynamics ⋮ Berry phase of primordial scalar and tensor perturbations in single-field inflationary models ⋮ BV-BFV approach to general relativity: Einstein-Hilbert action ⋮ Null infinity as an open Hamiltonian system ⋮ Causal propagation of constraints in bimetric relativity in standard 3+1 form ⋮ Clock-dependent spacetime ⋮ Lorentz-invariant, retrocausal, and deterministic hidden variables ⋮ Background independent holographic description: from matrix field theory to quantum gravity ⋮ Charged dilatonic AdS black holes and magnetic \(\mathrm{AdS}_{D-2}\times R^2\) vacua ⋮ Renormalization group flow of Hořava-Lifshitz gravity at low energies ⋮ Entanglement transfer from quantum matter to classical geometry in an emergent holographic dual description of a scalar field theory ⋮ Matrix Wheeler-DeWitt equation, quantum cosmological tunneling and three-dimensional space ⋮ The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools ⋮ A codex on linearized Nordström supergravity in eleven and ten dimensional superspaces ⋮ Geometric phase of linear cosmological perturbations in two-field inflation ⋮ Instability of flat space at finite temperature ⋮ Gravitational Energy in Quadratic-Curvature Gravities ⋮ Initial value data for Poisson brackets in general relativity ⋮ Nonlinear mechanics of accretion ⋮ Variational discretizations of gauge field theories using group-equivariant interpolation ⋮ A model of quantum gravity with emergent spacetime ⋮ The solution space of the Einstein’s vacuum field equations for the case of five-dimensional Bianchi Type I (Type 4A 1 ) ⋮ On the difficulty of generating gravitational wave turbulence in the early universe ⋮ Binary mergers in bootstrapped Newtonian gravity: mass gap and black hole area law ⋮ The radial action from probe amplitudes to all orders ⋮ On gauges for a moving black hole in TEGR ⋮ Gas of wormholes: A possible ground state of quantum gravity ⋮ Thermodynamic ensembles with cosmological horizons ⋮ Stochastic and quantum space-time metrics and the weak-field limit ⋮ Frame-like Lagrangians and presymplectic AKSZ-type sigma models
Cites Work