Hamiltonian Field Theory in the Radiating Regime

Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski

172 pages, parution le 06/02/2002

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Résumé

The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.

Contents

Introduction.
Preliminaries.
Hamiltonian Flows for Geometric Field Theories.
Radiating Scalar Fields.
The Energy of the Gravitational Field.
Hamiltonians Associated with the BMS Group.

Appendices.
References

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski
Parution	06/02/2002
Nb. de pages	172
Format	16 x 24
Couverture	Broché
Poids	382g
Intérieur	Noir et Blanc
EAN13	9783540428848