Hamiltonian Field Theory in the Radiating Regime (Lecture Notes in Physics Monographs, Band 70) - Softcover

Chrusciel, Piotr T.; Jezierski, Jacek; Kijowski, Jerzy

Softcover

ISBN 10: 3642076815 ISBN 13: 9783642076817

Verlag: Springer, 2011

Inhaltsangabe

Preliminaries.- Hamiltonian flows for geometric field theories.- Radiating scalar fields.- The energy of the gravitational field.- Hamiltonians associated with the BMS group.

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2011
• Sprache: Englisch
• ISBN 10: 3642076815
• ISBN 13: 9783642076817
• Einband: Taschenbuch
• Anzahl der Seiten: 184
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