Canonical Reduction of Gravity: from General Covariance to Dirac Observables and post-Minkowskian Background-Independent Gravitational Waves

Abstract

The status of canonical reduction for metric and tetrad gravity in space-times of the Christodoulou-Klainermann type, where the ADM energy rules the time evolution, is reviewed. Since in these space-times there is an asymptotic Minkowski metric at spatial infinity, it is possible to define a Hamiltonian linearization in a completely fixed (non harmonic) 3-orthogonal gauge without introducing a background metric. Post-Minkowskian background-independent gravitational waves are obtained as solutions of the linearized Hamilton equations.

9 pages, Talk given at the Symposium QTS3 on Quantum Theory and Symmetries, Cincinnati, September, 10-14 2003

References in corpus (3)

• The Rest-Frame Instant Form of Metric Gravity
• Simultaneity, radar 4-coordinates and the 3+1 point of view about accelerated observers in special relativity
• General Covariance and the Objectivity of Space-Time Point-Events: The Physical Role of Gravitational and Gauge Degrees of Freedom in General Relativity