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Hamiltonian Field Theory in the Radiating Regime : Classics in Mathematics - Piotr T. Chrusciel

Hamiltonian Field Theory in the Radiating Regime

Classics in Mathematics


Published: 4th December 2001
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In one ofthe fundamental notions is that any physical theory of of energy the hand: in mechanics at one considers the objects energy of, say, moving in fieldtheories is one interested inthe offield masses; energy configurations. A unified treatment of this which both to mechanics question, applies and to field Hamiltonian a formalism. We will theory, proceeds through shortly reviewbelowhowsuch iscarried aprocedure out inthe ofscalarfields theory Minkowski let at this on mention that an space time; us, stage, important often inthe isthat ofthe issue, ignored conditions sat textbooks, boundary isfied the set of fields under consideration. While by this issuecanbe safely for when the ignored usual field many purposes considering theories, such scalar fields or the = as on electromagnetism, ft constj hypersurfaces, where t is a it sometimes critical Minkowski time, a rolewhen other plays of classes are considered. Inthe of the hypersurfaces case situation is gravity for t= worse: even Minkowskian slicesthe f constj asymptotically boundary terms crucial. is ofthe are one main differencesbetweentheArnowitt (This Deser Misner for Sect. 5. 4 mass which is (ADM) gravity (cf. below), given a andthe usual for by boundary integral, field theories in energyexpression Minkowski wheretheHamiltonian is volume space time, a usually integral. ) in field the itsmost role in Now, theory plays important theradiation energy where it can be radiated the field.

"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)

Introductionp. 1
Preliminariesp. 7
Hamiltonian flows for geometric field theoriesp. 23
Radiating scalar fleldsp. 41
The energy of the gravitational fieldp. 65
Hamiltonians associated with the BMS groupp. 105
Odd forms (densities)p. 139
Solutions of the wave equation smoothly extendable to J[superscript +]p. 141
Gravitational field: some auxiliary resultsp. 143
Referencesp. 167
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540428848
ISBN-10: 3540428844
Series: Classics in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 174
Published: 4th December 2001
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.27
Weight (kg): 0.44