Holdings: A Hamiltonian field theory in the radiating regime

A Hamiltonian field theory in the radiating regime:

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Bibliographic Details
Main Authors:	Chruściel, Piotr T. 1957- (Author), Jezierski, Jacek 1949- (Author), Kijowski, Jerzy 1943- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2002
Series:	Lecture notes in physics New series M, monographs ; 70
Subjects:	Hamiltonian systems Feldtheorie Hamilton-Formalismus Strahlungsära
Online Access:	Inhaltsverzeichnis
Physical Description:	VI, 172 S.
ISBN:	3540428844

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MARC


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adam_text	CONTENTS 1. INTRODUCTION .............................................. 1 2. PRELIMINARIES ............................................. 7 2.1 HAMILTONIAN DYNAMICS .................................. 7 2.2 THE ROLE OF BOUNDARY CONDITIONS IN HAMILTONIAN FIELD THEORY .............................. 10 2.3 TANGENTIAL TRANSLATIONS AS A HAMILTONIAN SYSTEM ............ 13 2.4 THE HAMILTONIAN DESCRIPTION OF A MIXED CAUCHY - CHARACTERISTIC INITIAL VALUE PROBLEM ........................ 15 2.5 THE TRAUTMAN-BONDI ENERGY FOR THE SCALAR FIELD ............ 20 3. HAMILTONIAN FLOWS FOR GEOMETRIC FIELD THEORIES ............ 23 3.1 THE FRAMEWORK ......................................... 23 3.2 HAMILTONIAN DYNAMICS FOR LAGRANGIAN THEORIES ............. 29 3.3 SPACE-TIME INTEGRALS .................................... 34 3.4 CHANGES OF T1 AND OF THE LAGRANGIAN ...................... 38 4. RADIATING SCALAR FIELDS .................................... 41 4.1 PRELIMINARIES ........................................... 41 4.2 ENERGY: CONVERGENCE OF INTEGRALS .......................... 45 4.3 THE PHASE SPACE _9(_,,,O] ................................ 49 4.4 THE PHASE SPACE _6P[_J,O] ................................. 51 4.5 THE PHASE SPACE 9[-,,0] ................................. 52 4.6 THE PREFERRED HAMILTONIAN ROLE OF THE TRAUTMAN-BONDI ENERGY FOR SCALAR FIELDS ............. 54 4.7 THE POINCAR6 GROUP ..................................... 57 4.8 SUPERTRANSLATED HYPERBOLAE ............................ 61 5. THE ENERGY OF THE GRAVITATIONAL FIELD ...................... 65 5.1 PRELIMINARIES ........................................... 65 5.2 MOVING SPACELIKE HYPERSURFACES ........................... 70 5.3 COSMOLOGICAL SPACE-TIMES ............................ .... 74 5.4 , SPACE-TIMES ASYMPTOTICALLY FLAT IN SPACELIKE DIRECTIONS ....... 76 5.5 SPACE-TIMES WITH ANTI-DE SITTER ASYMPTOTIC BEHAVIOUR ....... 80 VI CONTENTS 5.6 ENERGY IN THE RADIATION REGIME: CONVERGENCE OF INTEGRALS ..... 89 5.7 PHASE SPACES: THE SPACE9 ............................... 97 5.8 THE PHASE SPACE _9[_J,0] ................................. 102 5.9 THE PHASE SPACE _10[-1,O] ................................. 103 5.10 PREFERRED ROLE OF THE TRAUTMAN-BONDI ENERGY .............. 104 6. HAMILTONIANS ASSOCIATED WITH THE BMS GROUP ............. 105 6.1 THE POINCAR6 GROUP: CONVERGENCE OF INTEGRALS ............... 105 6.2 SUPERTRANSLATIONS (AND SPACE TRANSLATIONS): CONVERGENCE OF INTEGRALS ................................. 111 6.3 THE ABSTRACT SCRI ....................................... 116 6.4 LORENTZ CHARGES ........................................ 119 6.5 A HAMILTONIAN DEFINITION OF ANGULAR MOMENTUM OF SECTIONS OFJ ........................................ 121 6.6 AN EXAMPLE: SCHWARZSCHILD SPACE-TIME .................... 126 6.7 AN EXAMPLE: STATIONARY SPACE-TIMES ....................... 129 6.8 LORENTZ COVARIANCE OF GLOBAL CHARGES ...................... 131 6.9 BMS INVARIANCE OF ENERGY-MOMENTUM ..................... 134 6.10 POLYHOMOGENEOUS SERI S ................................. 136 A. ODD FORMS (DENSITIES) ..................................... 139 B. SOLUTIONS OF THE WAVE EQUATION SMOOTHLY EXTENDABLE TO J+141 C. GRAVITATIONAL FIELD: SOME AUXILIARY RESULTS ..... * * * , ,, ... * 143 CA THE CANONICAL GRAVITATIONAL VARIABLES IN BONDI COORDINATES ... 143 C.1.1 SMOOTH SERI S .................................... 143 C.1.2 POLYHOMOGENEOUS ASYMPTOTICS ..................... 145 C.2 SOLUTIONS OF THE VACUUM EINSTEIN EQUATIONS CONTAINING HYPERBOLOIDAL HYPERSURFACES .................... 146 C.3 BONDI COORDINATES VS HYPERBOLOIDAL INITIAL DATA ............. 152 CA THE CALCULATION OF THE W A S ............................. 157 C.5 TRANSFORMATION RULES OF THE BONDI FUNCTIONS UNDER SUPERTRANSLATIONS ................................. 159 C.6 PRANSFORMATION RULES OF THE BONDI FUNCTIONS UNDER BOOSTS ........................................... 162 C.7 BONDI COORDINATES IN THE KERR SPACE-TIME .................. 163 C.8 CONFORMAL RESCALINGS OFADM CAUCHY DATA ................ 166 REFERENCES .................................................... 167 1 ACKNOWLEDGEMENTS JJ WISHES TO THANK THE R6GION CENTRE FOR FINANCIAL SUP- PORT, AND THE DEPARTMENT OFMATHEMATICS OF THE TOURS UNIVERSITY FOR HOSPITALITY DURING PART OF WORK ON THIS PAPER. WE ARE GRATEFUL TO M. MACCALLUM FOR HELP WITH A SYMBOLIC ALGEBRA CALCULATION.
any_adam_object	1
author	Chruściel, Piotr T. 1957- Jezierski, Jacek 1949- Kijowski, Jerzy 1943-
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spelling	Chruściel, Piotr T. 1957- Verfasser (DE-588)11348156X aut A Hamiltonian field theory in the radiating regime Piotr T. Chruściel ; Jacek Jezierski ; Jerzy Kijowski Berlin [u.a.] Springer 2002 VI, 172 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics : New series M, monographs 70 Physics and astronomy online library Hamiltonian systems Feldtheorie (DE-588)4016698-3 gnd rswk-swf Hamilton-Formalismus (DE-588)4376155-0 gnd rswk-swf Strahlungsära (DE-588)4667131-6 gnd rswk-swf Feldtheorie (DE-588)4016698-3 s Hamilton-Formalismus (DE-588)4376155-0 s DE-604 Strahlungsära (DE-588)4667131-6 s 1\p DE-604 Jezierski, Jacek 1949- Verfasser (DE-588)14351198X aut Kijowski, Jerzy 1943- Verfasser (DE-588)11814992X aut Lecture notes in physics New series M, monographs ; 70 (DE-604)BV021852221 70 SWBplus Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009603315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Chruściel, Piotr T. 1957- Jezierski, Jacek 1949- Kijowski, Jerzy 1943- A Hamiltonian field theory in the radiating regime Lecture notes in physics Hamiltonian systems Feldtheorie (DE-588)4016698-3 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd Strahlungsära (DE-588)4667131-6 gnd
subject_GND	(DE-588)4016698-3 (DE-588)4376155-0 (DE-588)4667131-6
title	A Hamiltonian field theory in the radiating regime
title_auth	A Hamiltonian field theory in the radiating regime
title_exact_search	A Hamiltonian field theory in the radiating regime
title_full	A Hamiltonian field theory in the radiating regime Piotr T. Chruściel ; Jacek Jezierski ; Jerzy Kijowski
title_fullStr	A Hamiltonian field theory in the radiating regime Piotr T. Chruściel ; Jacek Jezierski ; Jerzy Kijowski
title_full_unstemmed	A Hamiltonian field theory in the radiating regime Piotr T. Chruściel ; Jacek Jezierski ; Jerzy Kijowski
title_short	A Hamiltonian field theory in the radiating regime
title_sort	a hamiltonian field theory in the radiating regime
topic	Hamiltonian systems Feldtheorie (DE-588)4016698-3 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd Strahlungsära (DE-588)4667131-6 gnd
topic_facet	Hamiltonian systems Feldtheorie Hamilton-Formalismus Strahlungsära
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009603315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV021852221
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