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arXiv:1505.01403gr-qc

Dynamical and Hamiltonian formulation of General Relativity

Domenico Giulini

Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.

Abstract

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. This contribution introduces the reader to the reformulation of Einstein's field equations of General Relativity as a constrained evolutionary system of Hamiltonian type and discusses some of its uses, together with some technical and conceptual aspects. Attempts were made to keep the presentation self contained and accessible to first-year graduate students. This implies a certain degree of explicitness and occasional reviews of background material.

arXiv comments
76 pages, 5 figures, index
Journal reference
in Chapter 17 of A. Ashtekar and V. Petkov (Eds.): Springer Handbook of Spacetime, Springer Verlag, Dordrecht, 2014
DOI
Subjects
gr-qcGeneral Relativity and Quantum Cosmology math-phMathematical Physics physics.hist-phHistory and Philosophy of Physics

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Linked by 1 identifiable commenter in 2 comments across 2 threads, from Jun 2018 to Jul 2019.

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Discussed in comments2 threads

  1. LIGO detects probable black hole merger event 1 comment

    • Yes, all true, but we have the Hamiltonian formulation (e.g. https://arxiv.org/abs/1505.01403 which is a nice book chapter) which “… is also the starting point for the canonical quantization program, which constitutes one main approach to the as yet unsolved problems of Quantum…

      raattgiftView on HNParent context

  2. The Universe Is Not a Simulation, but We Can Now Simulate It 1 comment

    • Even though your two-link reply seems like an obvious "I don't want to talk any more", I'll leave you with three things. Firstly, there is nothing special about natural units compared to any other system of units, except that some popular formulae can take on especially simple…

      raattgiftView on HNParent context

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