Hamiltonian field theory in the radiation regime

Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski

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.

External organisation(s)
University of Warsaw, Polish Academy of Sciences (PAS), Université de Tours
No. of pages
Publication date
Peer reviewed
Austrian Fields of Science 2012
103028 Theory of relativity, 103036 Theoretical physics
Portal url