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

Luca Lusanna
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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.

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Luca Lusanna. 2004-01-20. Canonical Reduction of Gravity: from General Covariance to Dirac Observables and post-Minkowskian Background-Independent Gravitational Waves. https://doi.org/10.1142/9789812702340_0018

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