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

Hamiltonian Field Theory in the Radiating Regime

Buch | Softcover
VI, 174 Seiten
2011 | 1. Softcover reprint of the original 1st ed. 2002
Springer Berlin (Verlag)
978-3-642-07681-7 (ISBN)
89,99 inkl. MwSt
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.

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

"The text is addressed to physicists and is not written in theorem-proof style, nor are the function spaces introduced equipped with explicit topologies and differentiable structures. However, all concepts are very carefully defined and necessary deviations from a rigorous treatment are clearly identified." (Mathematical Reviews 2003f)

"This monograph gives a comprehensive overview about Hamiltonian field theory with main application to the Einstein field equation. [...] Carefully prepared appendices and bibliography close this very readable book." (Zentralblatt MATH, 1002/02, 2003)

Erscheint lt. Verlag 10.10.2011
Reihe/Serie Lecture Notes in Physics Monographs
Zusatzinfo VI, 174 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 287 g
Themenwelt Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Relativitätstheorie
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Dynamical Systems • Dynamics • Energy • Fields • Field Theory • Gravitation • Gravity • Hamiltonian Formalism in Classical Field Theory • Radiation • Relativity • Theory of relativity • Trautman-Bondi Mass
ISBN-10 3-642-07681-5 / 3642076815
ISBN-13 978-3-642-07681-7 / 9783642076817
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
die Geschichte und Erforschung unserer Galaxie

von Harald Lesch; Cecilia Scorza-Lesch; Arndt Latußeck

Buch | Hardcover (2023)
C.Bertelsmann (Verlag)
30,00
Von Hubble-, James-Webb- und anderen Großteleskopen bis zu …

von Arnold Hanslmeier

Buch | Softcover (2024)
Springer (Verlag)
22,99