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This is a substantially expanded version of a chapter-contribution to "The Springer Handbook of Spacetime", edited by Abhay Ashtekar and Vesselin Petkov, published by Springer Verlag in 2014.
On the use of the energy-momentum principle in General Relativity
Richard C. Tolman · 1930
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Über die Enden topologischer Räume und Gruppen
Hans Freudenthal · 1931
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Relativity, Thermodynamics, and Cosmology
Richard C. Tolman · 1934
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On the non-existence of regular stationary solutions of relativistic field equations
Albert Einstein and Wolfgang Pauli · 1943
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On the system of astronomical constants
Gerald M. Clemence · 1948
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The Topology of Fibre Bundles
Norman Steenrod · 1951
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Théories Relativistes de la Gravitation et de l’Électromagnétisme
André Lichnerowicz · 1955
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Astronomical time
Gerald M. Clemence · 1957
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Classical physics as geometry: Gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space
Charles Misner and John A. Wheeler · 1957
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Generalized Hamiltonian dynamics
Paul A. M. Dirac · 1958
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The theory of gravitation in Hamiltonian form
Paul A. M. Dirac · 1958
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Quantum theory of gravitation: General formulation and linearized theory
Richard Arnowitt and Stanley Deser · 1959
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Dynamical structure and definition of energy in General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1959
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Covariant conservation laws in general relativity
Arthur Komar · 1959
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Canonical variables, expressions for energy, and the criteria for radiation in General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Canonical variables for General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Consistency of the canonical reduction of General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Energy and the criteria for radiation in General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Finite self-energy of classical point particles
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Gravitational-electromagnetic coupling and the classical self-energy problem
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Interior Schwarzschild solutions and interpretation of source terms
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Note on positive-definiteness of the energy of the gravitational field
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1960
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Maximal extension of Schwarzschild metric
Martin D. Kruskal · 1960
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Coordinate invariance and energy expressions in General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1961
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Heisenberg representation in classical General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1961
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Wave zone in General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1961
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The immersion of an open 3-manifold in Euclidean 3-space
John Henry Constantine Whitehead · 1961
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The dynamics of general relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 1962
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Three-dimensional geometry as carrier of information about time
Ralph F. Baierlein, David H. Sharp, and John A. Wheeler · 1962
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Lectures on Quantum Mechanics
Paul A.M. Dirac · 1964
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Geometrodynamics and the issue of the final state
John A. Wheeler · 1964
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Quantum theory of gravity. I. The canonical theory
Bryce Seligman DeWitt · 1968
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Spinor structure of spacetimes in general relativity. I
Robert Geroch · 1968
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Initial conditions in General Relativity: Lapse and shift formulation
Elliot P. Belasco and Hans C. Ohanian · 1969
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Domain of dependence
Robert Geroch · 1970
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The concept of ephemeris time: A case of inadvertent plagiarism
Gerald M. Clemence · 1971
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The Einstein equations of evolution – a geometric approach
Arthur E. Fischer and Jerrold E. Marsden · 1972
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The four-dimensionality of space and the Einstein tensor
David Lovelock · 1972
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The Large Scale Structure of Spacetime
Stephen W. Hawking and George F.R. Ellis · 1973
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How commutators of constraints reflect the spacetime structure
Claudio Teitelboim · 1973
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Geometrodynamics regained: A Lagrangian approach
Karel Kuchař · 1974
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Characteristic Classes
John W. Milnor and John W. Stasheff · 1974
Cited alongside, same era.
Role of surface integrals in the Hamiltonian formulation of general relativity
Tulio Regge and Claudio Teitelboim · 1974
Cited alongside, same era.
The chronos principle
Demetrios Christodoulou · 1975
Cited alongside, same era.
Singularities in nonsimply connected space-times
Dennis Gannon · 1975
Cited alongside, same era.
Scalar curvature and conformal deformation of Riemannian structure
Jerry L. Kazdan and Frank W. Warner · 1975
Cited alongside, same era.
Geometrodynamics regained
Real Ashtekar variables for Lorentzian signature space-times
Fernando Barbero · 1995
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Asymptotic symmetry groups of long-ranged gauge configurations
Domenico Giulini · 1995
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What is the geometry of superspace?
Domenico Giulini · 1995
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Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
Gerhard Huisken and Yau Shing-Tung · 1996
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Gravitational constraint combinations generate a Lie algebra
Fotini G. Markopoulou · 1996
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A simple construction of initial data for multiple black holes
Steven Brandt and Bernd Brügmann · 1997
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Sergio A. Hojman, Karel Kuchař, and Claudio Teitelboim · 1976
Cited alongside, same era.
Mathematical Methods of Classical Mechanics
Vladimir Igorevich Arnold · 1978
Cited alongside, same era.
Arnowitt-Deser-Misner energy and g 00 g_{00}
Robert Beig · 1978
Cited alongside, same era.
Presymplectic manifolds and the Dirac-Bergmann theory of constraints
Mark Gotay, James Nester, and George Hinds · 1978
Cited alongside, same era.
On conserved quantities in general relativity
Abhay Ashtekar and Anne Magnon-Ashtekar · 1979
Cited alongside, same era.
General form for the longitudinal momentum of a spherically symmetric source
Jeffrey M. Bowen · 1979
Cited alongside, same era.
Note on the propagation of the constraints in standard 3+1 general relativity
Simonetta Frittelli · 1997
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Real and complex connections for canonical gravity
Giorgio Immirzi · 1997
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The generalized thin-sandwich problem and its local solvability
Domenico Giulini · 1999
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Conformal “thin-sandwich” data for the initial-value problem of general relativity
James W. York · 1999
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BRST cohomology and phase space reduction in deformation quantisation
Martin Bordemann, Hans-Christian Herbig, and Stefan Waldmann · 2000
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Is Barbero’s Hamiltonian formulation a gauge theory of Lorentzian gravity?
Joseph Samuel · 2000
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That strange procedure called quantisation
Domenico Giulini · 2003
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The Einstein Equations and the Large Scale Behaviour of Gravitational Fields
Piotr T. Chruściel and Helmut Friedrich, editors · 2004
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Quantum Gravity
Carlo Rovelli · 2004
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Negative Komar mass of single objects in regular, asymptotically flat spacetimes
Marcus Ansorg and David Petroff · 2006
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Embedding spherical spacelike slices in a Schwarzschild solution
Niall Ó Murchadha and Krzysztof Roszkowski · 2006
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Mapping-class groups of 3-manifolds in canonical quantum gravity
Domenico Giulini · 2007
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Modern Canonical Quantum General Relativity
Thomas Thiemann · 2007
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Republication of: The Dynamics of General Relativity
Richard Arnowitt, Stanley Deser, and Charles W. Misner · 2008
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On the center of mass of isolated systems
Justin Corvino and Haotian Hu · 2008
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Editorial note to R. Arnowitt, S. Deser, C. W. Misner: The dynamics of general relativity
Jorge Pullin · 2008
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Partial Differential Equations in General Relativity
Alan Rendall · 2008
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Extensions of the Stability Theorem of the Minkowski Space in General Relativity
Lydia Bieri and Nina Zipser · 2009
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General Relativity and the Einstein Equations
Yvonne Choquet-Bruhat · 2009
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The superspace of geometrodynamics
Domenico Giulini · 2009
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Quantum gravity at a Lifshitz point
Petr Hořava · 2009
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“Forget Time”
Carlo Rovelli · 2009
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Numerical Relativity. Solving Einstein’s Equations on the Computer
Thomas W. Baumgarte and Stuart L. Shapiro · 2010
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Canonical Gravity and Applications. Cosmology, Black Holes, Quantum Gravity
Martin Bojowald · 2011
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3+1 Formalism in General Relativity
Éric Gourgoulhon · 2012
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Quantum Gravity
Claus Kiefer · 2012
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Quantum gravitational contributions to the cosmic microwave background anisotropy spectrum
Claus Kiefer and Manuel Krämer · 2012
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On the modification of the cosmic microwave background anisotropy spectrum from canonical quantum gravity
Donato Bini, Giampiero Esposito, Claus Kiefer, Manuel Krämer, and Francesco Pessina · 2013
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Groupoid symmetry and constraints in General Relativity
Christian Blohmann, Marco Cezar Barbosa Fernandes, and Alan Weinstein · 2013
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Positive energy theorems in general relativity
Sergio Dain · 2014
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Conserved charges in asymptotically (locally) AdS spacetimes
Sebastian Fischetti, William Kelly, and Donald Marolf · 2014
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The initial-value problem in general relativity
James Isenberg · 2014
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Energy-momentum tensors and motion in special relativity
Domenico Giulini · 2015
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