ENGLISH

A Hamiltonian field theory in the radiating regime

By Piotr T. Chrusciel , Jacek Jezierski , Jerzy Kijowski

Book information

Publisher
Springer
Year
2002
ISBN
9783540428848, 3540428844
ISSN
0940-7677
Open Library ID
OL18168139M
Language
english
Format
PDF
Filesize
10 MB (10487686 bytes)
Series
Lecture notes in physics. Monographs m70
Edition
1
Pages
164\164
Topic
Physics
Time added
2009-08-06 05:14:26

Description

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.

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