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Titlebook: Hamiltonian Field Theory in the Radiating Regime; Piotr T. Chruściel,Jacek Jezierski,Jerzy Kijowski Book 2002 Springer-Verlag Berlin Heide

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发表于 2025-3-21 16:34:55 | 显示全部楼层 |阅读模式
书目名称Hamiltonian Field Theory in the Radiating Regime
编辑Piotr T. Chruściel,Jacek Jezierski,Jerzy Kijowski
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概述Original research dealing with the difficult problem of a Hamiltonian formalism for classical field theories.No recent book on this issue exists.Includes supplementary material:
丛书名称Lecture Notes in Physics Monographs
图书封面Titlebook: Hamiltonian Field Theory in the Radiating Regime;  Piotr T. Chruściel,Jacek Jezierski,Jerzy Kijowski Book 2002 Springer-Verlag Berlin Heide
描述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.
出版日期Book 2002
关键词Gravity; Hamiltonian Formalism in Classical Field Theory; Trautman-Bondi Mass; dynamical systems; dynami
版次1
doihttps://doi.org/10.1007/3-540-45604-X
isbn_softcover978-3-642-07681-7
isbn_ebook978-3-540-45604-9Series ISSN 0940-7677
issn_series 0940-7677
copyrightSpringer-Verlag Berlin Heidelberg 2002
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发表于 2025-3-21 23:27:34 | 显示全部楼层
Radiating scalar fields,aOnaaCaaaleqabaGaeqiVd0Ma% eqyVd4gaaOGaeyOaIy7aaSbaaSqaaiabe27aUbqabaGccqWGMbGzcq% GGUaGlaaa!5E49![p^mu = frac{{partial L}}{{partial f_{,mu } }} =- sqrt { - det eta _{alpha eta } } eta ^{mu u } partial _ uf.] The canonical momentum . is defined as in equation (3.18): . Let ℊ be any piecewise smoot
发表于 2025-3-22 02:01:06 | 显示全部楼层
0940-7677 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.978-3-642-07681-7978-3-540-45604-9Series ISSN 0940-7677
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https://doi.org/10.1007/978-3-319-63847-8 to consider motions of hypersurfaces which do not arise from the flow of a vector field; we shall indeed encounter such motions in Sect. 4.5 below. The purpose of this chapter is to generalize the framework of Kijowski and Tulczyjew to allow for such situations.
发表于 2025-3-23 03:53:28 | 显示全部楼层
Preliminaries,e following chapters that the dynamics of the massless scalar field in the radiation regime, as well as that of the gravitational field in the radiation regime, satisfies the requirements of the definitions given in this chapter.
发表于 2025-3-23 07:08:32 | 显示全部楼层
Hamiltonian flows for geometric field theories, to consider motions of hypersurfaces which do not arise from the flow of a vector field; we shall indeed encounter such motions in Sect. 4.5 below. The purpose of this chapter is to generalize the framework of Kijowski and Tulczyjew to allow for such situations.
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