NDLI: Complementarity of kinematics and geometry in general relativity

Content Provider	Springer Nature Link
Author	Kokarev, S. S.
Copyright Year	2011
Abstract	Relations between the kinematics, geometry (metric) and the law of motion for reference frames are considered in the context of general relativity. More specifically, we analyze the question, to what extent each pair from the three above-mentioned objects determines the third one. It is well known that the metric and the reference frame uniquely determine all kinematic tensors (the acceleration, deformation and spin forms). We show that the kinematic tensors together with the motion of the reference frame determine the geometry up to arbitrary functions of the spatial coordinates if a single integrability condition for the angular velocity tensor is satisfied. In the case where the motion of the reference frame is specified, there emerges rather a complicated set of consistency conditions of both algebraic and differential nature. Some aspects of the geometrization principle, Poincaré’s geometric conventionalism and a relativistic analogue of the quantum-mechanical complementarity principle are discussed in the light of the results obtained.
Starting Page	291
Ending Page	307
Page Count	17
File Format	PDF
ISSN	02022893
Journal	Gravitation and Cosmology
Volume Number	17
Issue Number	4
e-ISSN	19950721
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2011-11-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Astronomy, Observations and Techniques Quantum Physics Astrophysics and Astroparticles Classical and Quantum Gravitation, Relativity Theory
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics

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