Gravity in two spacetime dimensions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2000
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aachen, Techn. Hochsch., Habil.-Schr., 2000 |
| Beschreibung: | 224 S. graph. Darst. : 30 cm |
Internformat
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| 245 | 1 | 0 | |a Gravity in two spacetime dimensions |c von Thomas Strobl |
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| 650 | 4 | |a Gravitationstheorie - Zweidimensionale Raum-Zeit | |
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Datensatz im Suchindex
| _version_ | 1812460765716676608 |
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| adam_text |
CONTENTS
1 INTRODUCTION 7
2 2D GEOMETRY AND GRAVITATIONAL ACTIONS 11
2.1 FROM FOUR TO LOWER DIMENSIONS . 11
2.2 PURELY GEOMETRICAL 2D ACTIONS. 14
2.3 EINSTEIN-CARTAN VARIABLES . 17
2.4 EXTENSION TO THEORIES WITH NONTRIVIAL TORSION. 19
2.5 WHY SO MANY DIFFERENT LAGRANGIANS . 22
2.6 WHY CONSIDER LOW-DIMENSIONAL, TOPOLOGICAL MODELS . 24
2.7 ROLE OF THE DILATON WITHIN THE PRESENT CHAPTER. 27
3 GENERALIZED DILATON THEORIES AND MATTER ACTIONS 29
3.1 GENERALIZED DILATON ACTION REPLACING THE EINSTEIN-HILBERT TERM . 29
3.1.1 SPHERICALLY REDUCED GRAVITY . 29
3.1.2 STRING INSPIRED DILATON GRAVITY . 32
3.1.3 MOST GENERAL DILATON THEORY. 36
3.1.4 TWO POSSIBLE ROUTES TO A SIMPLIFIED, EQUIVALENT MODEL . 37
3.1.4.1 CONFORMAL RESCALINGS OF THE METRIC. 37
3.1.4.2 EQUIVALENCE TO THEORIES WITH TORSION . 40
3.2 MATTER ACTIONS . 42 .
3.3 GENERAL FIELD EQUATIONS. 46
3.4 MORE ON DIMENSIONALLY REDUCED THEORIES . 48
3.5 EXTENSION TO 2D SUPERGRAVITY . 51
4 2D GRAVITY-YANG-MILLS SYSTEMS IN TERMS OF POISSON CR-MODELS 55
4.1 POISSON MANIFOLDS . 56
4.2 DEFINING THE CR-MODEL . 60
4.3 GENERALIZED DILATON GRAVITY AS POISSON (7-MODEL. 64
4.4 EXTENSION TO INCLUDE 2D SUPCRGRAVITV. 66
3
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/965005542
4.5 INCLUDING MATTER FIELDS.
4.5.1 ADDITIONAL YANG-MILLS FIELDS
4.5.2 FERMIONIC MATTER.
4.5.3 SCALAR FIELDS.
CLASSICAL SOLUTIONS ON A LOCAL LEVEL
5.1 PURE 2D GRAVITY-YANG-MILLS MODELS .
5.1.1 GAUGE FIXING METHOD, TORS ION-FREE
1 THEORIES . . . .
5.1.1.1 ATTAINABILITY OF CERTAIN GAUGE CONDITIONS
5.1.1.2 METRICAL VARIABLES .
5.1.1.3 TRANSFORMING BACK TO ORIGINAL DILATON VARIABLES
5.1.1.4 IN EINSTEIN-CARTAN VARIABLES.
5.1.2 TARGET SPACE METHOD, THE GENERAL CASE .
5.1.2.1 TORSION-FREE THEORIES.
5.1.2.2 THEORIES WITH GENERAL TORSION DEPENDENCE . .
5.1.2.3 SOLUTION IN THE NEIGHBORHOOD OF SADDLE-POINTS
5.1.2.1 INCLUSION OF YANG-MILLS FIELDS.
5.1.2.5 THE MODEL (2.21) .
5.1.3 SUPERGRAVITY .
5.2 DILATON THEORIES WITH MATTER .
5.2.1 SOLVABLE GENERALIZATIONS OF THE CGIIS MODEL.
5.2.1.1
NO GAUGE FIELDS
(QO =
0):
.
5.2.1.2 INCLUSION OF GAUGE FIELDS (ARBITRARY O
0) YY YY YY
5.2.2 GENERALIZED DILATON GRAVITY WITH CHIRAL MATTER
.
CLASSICAL SOLUTIONS ON A GLOBAL LEVEL
6.1 MAXIMAL EXTENSIONS FOR ALL GRAVITY-\ANG-MILLS SYSTEMS . .
6.1.1
GENERALITIES ON MAXIMAL EXTENSIONS.
6.1.2 SOME REMARKS ON CAR TER-PEN ROSE DIAGRAMS .
6.1.2.1 FURTHER PRELIMINARIES .
6.1.3 EXTREMALS.
6.1.4 CONSTRUCTION OF THE BUILDING BLOCKS, CARTER-PENROSE
. . S3
, . . 84
. . 8S
. . . 90
. . . 91
. . . 92
. . . 96
. . . 96
. . . 9S
. . . 101
. . . 103
107
. . . 109
. 109
. . . 110
. 113
. 114
DIA
GRAMS
116
6 1.5 MAXIMAL EXTENSION AND SADDLE-POINT CHARTS .1-3
. , , .129
6.1.6 RECIPE AND EXAMPLES.
6.1.7
REMARKS ON GLOBAL COORDINATES .13B
6.2 ALL GLOBAL SOLUTIONS OF (ALL 2D) GRAVITY-YANG-MILLS MODELS
. 139
5
6.2.1 INTRODUCTORY REMARKS .139
6.2.1.1 MOTIVATION .140
6.2.1.2 ORGANIZATION.141
6.2.1.3 ANTICIPATION OF SOME OF THE RESULTS.142
6.2.2 CUT-AND-PASTE TECHNIQUE FOR THE KV MODEL .143
6.2.2.1 THE MODULI SPACE FOR A/ ~ H X ZR .147
6.2.3 A GLOBAL CR-MODEL APPROACH.148
6.2.4 SYSTEMATIC GROUP THEORETICAL APPROACH.152
6.2.4.1 PRELIMINARIES.152
6.2.4.2 THE SYMMETRY GROUP .155
6.2.4.3 SUBGROIIPS AND FACTOR SPACES .162
6.2.4.4 MORE THAN ONE GENERATOR .171
6.2.4.5 REMARKS ON THE CONSTANT CURVATURE CASE . 180
6.2.5 REMARKS ON KINKS .182
7
TOWARDS QUANTUM GRAVITY 187
7.1 HAMILTONIAN FORMULATION.187
7.1.1 FOR A CYLINDRICAL SPACETIME .188
7.1.2 MODIFICATIONS FOR OPEN SPACETIMES .191
7.1.3 ABELIANIZATION AND THE REDUCED PHASE SPACE.195
7.1.3.1 REMARKS ON THE VARIABLE
P.195
7.1.3.2 GLOBAL ABELIANIZATION FOR SCHVVARZSCHILD .197
7.2 DIRAC QUANTIZATION OF GRAVITY-YANG-MILLS MODELS . 19S
7.2.1 PHYSICAL STATES .198
7.2.1.1 THE CASE OF SIMPLY CONNECTED SYMPLECTIC LEAVES . 201
7.2.1.2 MULTIPLY CONNECTED LEAVES.202
7.2.1.3 LORENTZIAN SIGNATURE OF THE THEORY .203
7.2.1.4 COMPARISON OF CLASSICAL AND QUANTUM RESULTS . . 205
7.2.1.5 THE MISSING KINK NUMBER. 206
7.2.2 FURTHER REMARKS .207
7.2.2.1 COMPARING THE LORENTZIAN AND EUCLIDEAN THEORIES 207
7.2.2.2 MODIFICATIONS FOR OPEN SPACETIMES.208
7.2.2.3 THE INNER PRODUCT AND THE ISSUE OF TIME.209
7.3 BRIEF OUTLOOK ON HAWKING RADIATION.210
BIBLIOGRAPHY
213
CURRICULUM VITAE
225 |
| any_adam_object | 1 |
| author | Strobl, Thomas |
| author_facet | Strobl, Thomas |
| author_role | aut |
| author_sort | Strobl, Thomas |
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| building | Verbundindex |
| bvnumber | BV014851308 |
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| ctrlnum | (OCoLC)248725996 (DE-599)BVBBV014851308 |
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| indexdate | 2024-10-09T18:08:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010046650 |
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| owner | DE-91 DE-BY-TUM DE-83 |
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| physical | 224 S. graph. Darst. : 30 cm |
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| spelling | Strobl, Thomas Verfasser aut Gravity in two spacetime dimensions von Thomas Strobl 2000 224 S. graph. Darst. : 30 cm txt rdacontent n rdamedia nc rdacarrier Aachen, Techn. Hochsch., Habil.-Schr., 2000 Gravitationstheorie - Zweidimensionale Raum-Zeit Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Zweidimensionale Raum-Zeit (DE-588)4303349-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gravitationstheorie (DE-588)4158117-9 s Zweidimensionale Raum-Zeit (DE-588)4303349-0 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010046650&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Strobl, Thomas Gravity in two spacetime dimensions Gravitationstheorie - Zweidimensionale Raum-Zeit Gravitationstheorie (DE-588)4158117-9 gnd Zweidimensionale Raum-Zeit (DE-588)4303349-0 gnd |
| subject_GND | (DE-588)4158117-9 (DE-588)4303349-0 (DE-588)4113937-9 |
| title | Gravity in two spacetime dimensions |
| title_auth | Gravity in two spacetime dimensions |
| title_exact_search | Gravity in two spacetime dimensions |
| title_full | Gravity in two spacetime dimensions von Thomas Strobl |
| title_fullStr | Gravity in two spacetime dimensions von Thomas Strobl |
| title_full_unstemmed | Gravity in two spacetime dimensions von Thomas Strobl |
| title_short | Gravity in two spacetime dimensions |
| title_sort | gravity in two spacetime dimensions |
| topic | Gravitationstheorie - Zweidimensionale Raum-Zeit Gravitationstheorie (DE-588)4158117-9 gnd Zweidimensionale Raum-Zeit (DE-588)4303349-0 gnd |
| topic_facet | Gravitationstheorie - Zweidimensionale Raum-Zeit Gravitationstheorie Zweidimensionale Raum-Zeit Hochschulschrift |
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