1.

Record Nr.

UNINA9910257445703321

Autore

Chrusciel Piotr T

Titolo

Hamiltonian Field Theory in the Radiating Regime / / by Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002

ISBN

3-540-45604-X

Edizione

[1st ed. 2002.]

Descrizione fisica

1 online resource (VI, 174 p.)

Collana

Lecture Notes in Physics Monographs ; ; 70

Disciplina

530.15/474

Soggetti

Gravitation

Mathematical physics

Classical and Quantum Gravity

Mathematical Methods in Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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

Sommario/riassunto

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.