A Hamiltonian field theory in the radiating regime:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2002
|
| Schriftenreihe: | Lecture notes in physics
New series M, monographs ; 70 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 172 S. |
| ISBN: | 3540428844 |
Internformat
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| 100 | 1 | |a Chruściel, Piotr T. |d 1957- |e Verfasser |0 (DE-588)11348156X |4 aut | |
| 245 | 1 | 0 | |a A Hamiltonian field theory in the radiating regime |c Piotr T. Chruściel ; Jacek Jezierski ; Jerzy Kijowski |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2002 | |
| 300 | |a VI, 172 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics : New series M, monographs |v 70 | |
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Datensatz im Suchindex
| _version_ | 1804128883438518272 |
|---|---|
| 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- |
| author_GND | (DE-588)11348156X (DE-588)14351198X (DE-588)11814992X |
| author_facet | Chruściel, Piotr T. 1957- Jezierski, Jacek 1949- Kijowski, Jerzy 1943- |
| author_role | aut aut aut |
| author_sort | Chruściel, Piotr T. 1957- |
| author_variant | p t c pt ptc j j jj j k jk |
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| callnumber-subject | QC - Physics |
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| ctrlnum | (OCoLC)48466844 (DE-599)BVBBV014023856 |
| dewey-full | 530.15/474 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/474 |
| dewey-search | 530.15/474 |
| dewey-sort | 3530.15 3474 |
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| discipline | Physik |
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| id | DE-604.BV014023856 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:56:19Z |
| institution | BVB |
| isbn | 3540428844 |
| language | English |
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| physical | VI, 172 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
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| series | Lecture notes in physics |
| series2 | Lecture notes in physics : New series M, monographs Physics and astronomy online library |
| 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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