Journal ArticleDOI
Characterization of gravitational theories by cumulative effects in free particles' motion and in the behaviour of clocks
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In this paper, it is shown that a generalized vorticity theorem, as well as the possibility of synchronizing adjacent clocks during a finite time interval, characterize the theory of gravitation.About:
This article is published in Annals of Physics.The article was published on 1972-01-01. It has received 5 citations till now. The article focuses on the topics: Parameterized post-Newtonian formalism & Theory of relativity.read more
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Discrete mechanics: a sequential growth dynamics for causal sets, and a self-organization of particles
TL;DR: The aim of this study is to construct the particles as emergent structures in a discrete pregeometry model of a finite network of finite elementary processes based on the algebra of creation and destruction operators.
Journal ArticleDOI
Fermi transport and the Coriolis acceleration
TL;DR: In this article, a transport law for spatial axes along an observer's world line in theories of gravitation more general than Weyl's (and Einstein's) was constructed. But this was based on the bouncing photon experiment and the vanishing of the Coriolis acceleration.
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Weak Circulation Theorems as a Way of Distinguishing between Generalized Gravitation Theories
TL;DR: In this paper, it was shown that a generalized circulation theorem characterizes Einstein's theory of gravitation as a special case of a more general theory of gravity, which is also based on the principle of equivalence, and that it is possible to weaken this circulation theorem in such ways that it would imply more general theories than Einstein's.
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New constants of motion for systems of free gravitating particles in Newton's and Einstein's theories of gravitation
TL;DR: New quantities have been found which are constants of motion in Newton's gravitational theory and analogous but different quantities exist in Einstein's theory as discussed by the authors, and the difference between the Newtonian and the relativistic quantities may be used to distinguish experimentally between the theories.
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Differential constants of motion for systems of free gravitating particles. II. General relativity
TL;DR: In this article, it was shown that the restriction to vacuum conditions does not change the set of differential constants of motion, excluding the nonphysical cases of space-time of dimension 2 or 3, and that nothing can be inferred from local measurements about the orientation of a laboratory in free fall relative to Fermi transported axes.
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Non-Riemannian geometry
TL;DR: Asymmetric connections Symmetric connections Projective geometry of paths The geometry of subspaces Bibliography as discussed by the authors, see Section 2.1 for a survey of the main sources.