The York Map and the Role of Non-inertial Frames in the Geometrical View of the Gravitational Field

DOI10.1007/978-90-481-3735-0_22zbMATH Open1201.83012arXiv0707.0390OpenAlexW3156133673MaRDI QIDQ3055511

Publication date: 8 November 2010

Published in: Astrophysics and Space Science Library (Search for Journal in Brave)

Abstract: The role of non-inertial frames in a class of models of general relativity is clarified by means of Dirac's theory of constraints. The identification of a York canonical basis allows to give the interpretation of the gauge variables as generalized inertial effects and to identify the Dirac observables of the gravitational field with generalized tidal effects. York time is the gauge variable controlling the clock synchronization convention. Differently from special relativity, the instantaneous 3-spaces are dynamically determined.

Full work available at URL: https://arxiv.org/abs/0707.0390

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special relativity (83A05) Initial value problems for second-order hyperbolic equations (35L15) Equations of motion in general relativity and gravitational theory (83C10)

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