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Hamiltonian Field Theory in the Radiating Regime

Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski (Autoren)

Buch | Hardcover

VI, 174 Seiten

2001 | 2002
Springer Berlin (Verlag)
978-3-540-42884-8 (ISBN)

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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	4.12.2001
Reihe/Serie	Lecture Notes in Physics Monographs
Zusatzinfo	VI, 174 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	440 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	3-540-42884-4 / 3540428844
ISBN-13	978-3-540-42884-8 / 9783540428848
Zustand	Neuware