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.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540428848
eBay Product ID (ePID)
95036550
Product Key Features
Author
Jacek Jezierski, Piotr T. Chrusciel, Jerzy Kijowski
Publication Name
Hamiltonian Field Theory in the Radiating Regime
Format
Hardcover
Language
English
Subject
Physics
Publication Year
2001
Type
Textbook
Number of Pages
174 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
70
Item Weight
970g
Additional Product Features
Title_Author
Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski