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

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.

Talk at the International School on {\it Astrophysical Relativity} John Archibald Wheeler, Erice June 1-7, 2006. 14 pages

References in corpus (3)

• The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field
• Simultaneity, radar 4-coordinates and the 3+1 point of view about accelerated observers in special relativity
• New Directions in Non-Relativistic and Relativistic Rotational and Multipole Kinematics for N-Body and Continuous Systems