Journal ArticleDOI
Hamilton--jacobi version of general relativity.
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This article is published in Physical Review.The article was published on 1968-01-01. It has received 17 citations till now. The article focuses on the topics: Four-force & Special relativity (alternative formulations).read more
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Journal ArticleDOI
Quantum theory of gravitation
Abhay Ashtekar,Robert P. Geroch +1 more
TL;DR: In this paper, a review of the attempts to obtain a quantum theory of gravitation is presented, and the essential ideas of those programmes on which extensive work has been done are discussed.
Book ChapterDOI
The Quantization Program for General Relativity
TL;DR: In this article, the problem of the construction of a quantum theory of gravitation is attacked by a variety of methods, and the fundamental epistemological difficulties are ellucidated and certain novel qualitative features of the sought-for quantum theory are described.
Journal ArticleDOI
The conformally invariant Laplace–Beltrami operator and factor ordering
TL;DR: The conformally invariant Laplace-Beltrami operator for non-conformally-flat metrics was shown in this article, where it was shown that this type of factor ordering fails, by just one term.
Journal Article
Observables and Hamilton-Jacobi approaches to general relativity
TL;DR: The main focus is on the Hamilton-Jacobi techniques in classical general relativity that were pursued by Peter Bergmann and Arthur Komar in the 1960s and 1970s as mentioned in this paper. But this is not the case for all of these approaches.
Journal ArticleDOI
Inertia and Gravity: a New Approach to Dynamical Theory in General Relativity
TL;DR: In this article, a new approach to gravity field dynamics is proposed, as an alternative to the standard formulation of General Relativity, where spacetime metric tensors are split, into an externally fixed background geometry (inertia) and a local dynamical field (gravity); and a dynamical theory of matter and gravity in the inertial background is developed.