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OverviewThe 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. Full Product DetailsAuthor: Piotr T. Chrusciel , Jacek Jezierski , Jerzy KijowskiPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2002 ed. Volume: 70 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.970kg ISBN: 9783540428848ISBN 10: 3540428844 Pages: 174 Publication Date: 04 December 2001 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreliminaries.- Hamiltonian flows for geometric field theories.- Radiating scalar fields.- The energy of the gravitational field.- Hamiltonians associated with the BMS group.ReviewsThe 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) 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) <p> 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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