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General Relativity and Quantum Cosmology

arXiv:1505.01403 (gr-qc)
[Submitted on 6 May 2015]

Title:Dynamical and Hamiltonian formulation of General Relativity

Authors:Domenico Giulini
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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.
Comments: 76 pages, 5 figures, index
Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); History and Philosophy of Physics (physics.hist-ph)
MSC classes: 83C05, 83C10, 83C40
Cite as: arXiv:1505.01403 [gr-qc]
  (or arXiv:1505.01403v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.1505.01403
Journal reference: in Chapter 17 of A. Ashtekar and V. Petkov (Eds.): Springer Handbook of Spacetime, Springer Verlag, Dordrecht, 2014

Submission history

From: Domenico Giulini J.W. [view email]
[v1] Wed, 6 May 2015 15:42:16 UTC (130 KB)
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