General relativistic collapse of rotating stellar cores in axisymmetry:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2001
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Techn. Univ., Diss., 2001 |
| Beschreibung: | VIII, 254 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a General relativistic collapse of rotating stellar cores in axisymmetry |c Harald Dimmelmeier |
| 264 | 1 | |c 2001 | |
| 300 | |a VIII, 254 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
1.1 HISTORY OF SUPERNOVA RESEARCH. 1
1.2 SUPERNOVA CLASSES. 3
1.3 PHYSICS OF SUPERNOVA CORE COLLAPSE. 5
1.4 GRAVITATIONAL RADIATION . 12
1.5 SIMULATIONS OF SUPERNOVA CORE COLLAPSE. 16
1.6 ORGANIZATION OF THE THESIS. 19
1.7 CONVENTIONS. 20
2 GENERAL RELATIVISTIC HYDRODYNAMICS 21
2.1 RELATIVISTIC FIELD EQUATIONS {3 + 1} FORMALISM. 21
2.2 CONSERVATION EQUATIONS . 25
2.3 THE GENERAL RELATIVISTIC RIEMANN PROBLEM. 27
3 METRIC EQUATIONS 31
3.1 ADM EVOLUTION AND CONSTRAINT EQUATIONS. 33
3.2 PROBLEMS WITH THE ADM EQUATIONS - ALTERNATIVE FORMULATIONS AND
APPROXIMA
TIONS . 34
3.3 CONFORMALLY FLAT METRIC EQUATIONS. 37
3.3.1 CONFORMAL FLATNESS CONDITION. 37
3.3.2 CONFORMAL SCALING . 40
3.3.3 DERIVATION OF THE CFC METRIC EQUATIONS. 42
3.3.4 PROPERTIES OF THE ELLIPTIC SYSTEM OF METRIC EQUATIONS. 46
4 ROTATIONAL CORE COLLAPSE 47
4.1 PHYSICAL MODEL. 47
4.2 EQUATION OF STATE. 50
4.3 ROTATING RELATIVISTIC STARS IN EQUILIBRIUM. 52
4.4 INITIAL MODELS AND COLLAPSE PARAMETERS. 54
5 NUMERICAL IMPLEMENTATION 57
5.1 NUMERICAL GRID. 57
5.1.1 GRID SETUP
YY
- LOGARITHMIC RADIAL SPACING. 57
5.1.2 SYMMETRY CONDITIONS . 59
5.1.3 BOUNDARY CONDITIONS - ISOTROPIC SCHWARZSCHILD SOLUTION . 61
5.2 HACHISU'S SELF-CONSISTENT FIELD METHOD. 63
5.3 ATMOSPHERE TREATMENT AT THE SURFACE OF THE STAR. 64
III
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/963898833
5.4 HIGH-RESOLUTION SHOCK-CAPTURING METHODS. 66
5.4.1 APPROXIMATE SOLVERS FOR THE RIEMANN PROBLEM THE NUMERICAL FLUX . .
68
5.5 ITERATION SCHEME DISCRETIZATION OF THE EVOLUTION EQUATIONS. 71
5.5.1 TIME EVOLUTION OF THE CONSERVED QUANTITIES. 71
5.5.2 RECOVERY OF THE PRIMITIVE QUANTITIES. 78
5.6 NUMERICAL SOLUTION OF THE ELLIPTIC METRIC SYSTEM . 79
5.6.1 FINITE DIFFERENCING NEWTON RAPHSON ITERATION. 79
5.6.2 THE LINEAR PROBLEM . 82
5.6.3 NUMERICAL METHODS FOR SOLVING THE LINEAR PROBLEM. 87
5.6.4 COMPUTATIONAL PERFORMANCE OF THE METRIC SOLVER METRIC
EXTRAPOLATION 91
6 TESTS 97
6.1 RELATIVISTIC SHOCK TUBE TESTS. 97
6.2 ROTATING NEUTRON STARS.101
6.3 SPHERICAL CORE COLLAPSE .106
6.4 INTEGRAL QUANTITIES CONSERVATION OF REST MASS AND ANGULAR MOMENTUM
. 109
6.5 EXCITATION OF THE THERMAL PRESSURE.115
6.6 QUALITY OF THE CFC APPROXIMATION DURING ROTATIONAL CORE COLLAPSE.118
6.7 CONVERGENCE AND ACCURACY TESTS .125
6.7.1 ORDER OF NUMERICAL CONVERGENCE .125
6.7.2 GRID AND METRIC RESOLUTION TESTS METRIC EXTRAPOLATION TESTS .127
7 RESULTS AND DISCUSSION 131
7.1 COLLAPSE AND WAVEFORM TYPES.131
7.1.1 TYPE I COLLAPSE MODEL REGULAR COLLAPSE.132
7.1.2 TYPE II COLLAPSE MODEL MULTIPLE BOUNCE COLLAPSE.134
7.1.3 TYPE III COLLAPSE MODEL RAPID REGULAR COLLAPSE.134
7.2 HOMOLOGY OF THE INFALL.139
7.3 CENTRAL DENSITIES AND TIME OF BOUNCE .142
7.4 GRAVITATIONAL WAVE AMPLITUDES.147
7.5 MULTIPLE BOUNCES.151
7.6 COMPACTNESS OF THE PROTO-NEUTRON STAR CORE .161
7.7 RAPIDLY AND HIGHLY DIFFERENTIALLY ROTATING MODELS .174
7.8 GRAVITATIONAL WAVE ENERGY EMISSION AND SPECTRA.182
7.9 EVOLUTION OF THE ROTATION RATE.191
7.9.1 PROBLEMS WITH THE CALCULATION OF THE ROTATION RATE.199
7.10 PROPAGATION OF THE SHOCK FRONT.200
8 SUMMARY AND OUTLOOK 207
A CHARACTERISTIC FIELDS 211
A.L CHARACTERISTIC STRUCTURE OF THE CONSERVATION EQUATIONS.211
A. 2 EIGENVALUES AND EIGENVECTORS .212
B SOURCE TERMS FOR THE EVOLUTION EQUATIONS 215
B. L ENERGY-MOMENTUM TENSOR.216
B.2 CHRISTOFFEL SYMBOLS.217
IV
C GRAVITATIONAL WAVE EXTRACTION 221
C.L MULTIPOLE EXPANSION OF THE RADIATION FIELD .221
C.2 STANDARD QUADRUPOLE FORMULA.223
C.3 FIRST MOMENT OF MOMENTUM DENSITY FORMULA.224
C.4 STRESS FORMULA .225
C.5 AMBIGUITIES OF THE QUADRUPOLE FORMULA IN RELATIVITY.230
D DENSITY EVOLUTION AND GRAVITATIONAL WAVE SIGNAL CATALOGUE 235
E ACKNOWLEDGMENTS 243
REFERENCES 244 |
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| author | Dimmelmeier, Harald 1972- |
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| bvnumber | BV014195963 |
| classification_tum | PHY 962d PHY 916d PHY 927d |
| ctrlnum | (OCoLC)237527195 (DE-599)BVBBV014195963 |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-10-09T18:05:46Z |
| institution | BVB |
| language | English |
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| physical | VIII, 254 S. graph. Darst. |
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| spelling | Dimmelmeier, Harald 1972- Verfasser (DE-588)12382673X aut General relativistic collapse of rotating stellar cores in axisymmetry Harald Dimmelmeier 2001 VIII, 254 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2001 Gravitationskollaps (DE-588)4158116-7 gnd rswk-swf Relativistischer Effekt (DE-588)4129534-1 gnd rswk-swf Relativistische Hydrodynamik (DE-588)4177684-7 gnd rswk-swf Supernova (DE-588)4184117-7 gnd rswk-swf Näherungsverfahren (DE-588)4206467-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Einstein-Feldgleichungen (DE-588)4013941-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gravitationskollaps (DE-588)4158116-7 s Relativistische Hydrodynamik (DE-588)4177684-7 s Einstein-Feldgleichungen (DE-588)4013941-4 s DE-604 Supernova (DE-588)4184117-7 s Relativistischer Effekt (DE-588)4129534-1 s Näherungsverfahren (DE-588)4206467-3 s Numerisches Verfahren (DE-588)4128130-5 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009730839&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dimmelmeier, Harald 1972- General relativistic collapse of rotating stellar cores in axisymmetry Gravitationskollaps (DE-588)4158116-7 gnd Relativistischer Effekt (DE-588)4129534-1 gnd Relativistische Hydrodynamik (DE-588)4177684-7 gnd Supernova (DE-588)4184117-7 gnd Näherungsverfahren (DE-588)4206467-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| subject_GND | (DE-588)4158116-7 (DE-588)4129534-1 (DE-588)4177684-7 (DE-588)4184117-7 (DE-588)4206467-3 (DE-588)4128130-5 (DE-588)4013941-4 (DE-588)4113937-9 |
| title | General relativistic collapse of rotating stellar cores in axisymmetry |
| title_auth | General relativistic collapse of rotating stellar cores in axisymmetry |
| title_exact_search | General relativistic collapse of rotating stellar cores in axisymmetry |
| title_full | General relativistic collapse of rotating stellar cores in axisymmetry Harald Dimmelmeier |
| title_fullStr | General relativistic collapse of rotating stellar cores in axisymmetry Harald Dimmelmeier |
| title_full_unstemmed | General relativistic collapse of rotating stellar cores in axisymmetry Harald Dimmelmeier |
| title_short | General relativistic collapse of rotating stellar cores in axisymmetry |
| title_sort | general relativistic collapse of rotating stellar cores in axisymmetry |
| topic | Gravitationskollaps (DE-588)4158116-7 gnd Relativistischer Effekt (DE-588)4129534-1 gnd Relativistische Hydrodynamik (DE-588)4177684-7 gnd Supernova (DE-588)4184117-7 gnd Näherungsverfahren (DE-588)4206467-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| topic_facet | Gravitationskollaps Relativistischer Effekt Relativistische Hydrodynamik Supernova Näherungsverfahren Numerisches Verfahren Einstein-Feldgleichungen Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009730839&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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