Models of large-scale structure formation in cosmology:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Hochschulschrift/Dissertation Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
2014
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| Schlagwörter: | |
| Links: | https://nbn-resolving.org/urn:nbn:de:bvb:19-172479 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027479874&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XVIII, 219 S. Ill., graph. Darst. |
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Datensatz im Suchindex
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| adam_text | MODELS
OF LARGE-SCALE STRUCTURE
FORMATION IN COSMOLOGY
MICHAEL KOPP
DISSERTATION
AN DER FAKULTAT FIIR PHYSIK
DER LUDWIG-MAXIMILIANS-UNIVERSITAT
MLINCHEN
VORGELEGT VON
MICHAEL KOPP
AUS MLINCHEN
MIINCHEN, DEN 30. JUNI 2014
HTTP://D-NB.INFO/105837608X
CONTENTS
ZUSAMMENFASSUNG V
SUMMARY VII
ACKNOWLEDGEMENTS VIII
NOTATION XIV
1 INTRODUCTION 19
1.1 THE BIG PICTURE 19
1.2 HOW TO EXTEND THE
SM+GR 23
2 SPHERICAL COLLAPSE AND HALO MASS FUNCTION IN F(R)
THEORIES 27
2.1 INTRODUCTION 27
2.2 REVIEW OF THE HU-SAWICKI-STAROBINSKY/(/?) MODEL 30
2.3 SPHERICAL COLLAPSE 33
2.3.1 QUASISTATIC EQUATIONS 35
2.3.2 INITIAL CONDITIONS 36
2.3.3 DENSITY PROFILE 37
2.3.4 NUMERICAL METHOD 39
2.3.5 SPHERICAL COLLAPSE THRESHOLD FOR /(R)
GRAVITY 40
2.4 HALO MASS FUNCTION: PREDICTION FOR /(/?) GRAVITY AND DEVIATION
FROM GR 42
2.4.1 UNCORRELATED RANDOM WALK AND GENERIC BARRIER 43
2.4.2 REALISTIC MASS FUNCTION FROM
CORRELATED RANDOM WALKS 48
2.4.3 REALISTIC PREDICTION FOR /(/?) GRAVITY AND
DEVIATION FROM GR 50
2.5 CONCLUSION 54
APPENDICES 55
2.A NONLINEAR EQUATIONS 55
2.B DOUBLE EXPANSION 56
2.B.1 CHOICE OF GAUGE 57
2.B.2 NEWTONIAN GAUGE DISCUSSION 57
2.C PEAKS THEORY SHAPE FUNCTION 62
XII CONTENTS
3 MAPPING BETWEEN NEWTONIAN GRAVITY AND GR ON ALL LINEAR SCALES 65
3.1 INTRODUCTION 66
3.2 COMPATIBILITY OF LINEAR OBSERVABLES ON A HYPERSURFACE 68
3.3 LINEAR OBSERVABLES ON THE LIGHTCONE 70
3.4 CONCLUSION 73
4 MAPPING BETWEEN NEWTONIAN GRAVITY AND GR ON NONLINEAR SCALES 75
4.1 INTRODUCTION 75
4.2 EVOLUTION EQUATION IN THE
PRESENCE OF VECTOR PERTURBATIONS 76
4.3 EQUIVALENCE OF FLUID AND EINSTEIN SYSTEMS 79
4.4 PROBLEMS WITH W,-
= 0 81
4.5 CONCLUSION 84
APPENDICES 87
4.A EXPLICIT CALCULATION OF THE EQUIVALENCE 87
4.A.1 BETWEEN (4.8) AND (4.5) 87
4.A.2 BETWEEN (4.15) AND (4.13A) . . . 88
4.B PERTURBATION THEORY 89
4.B.1 FIRST ORDER 90
4.B.2 SECOND ORDER 90
4.B.3 THIRD ORDER 92
4.C MASTER EQUATION FOR PERFECT
FLUID AND COSMOLOGICAL CONSTANT 95
5 THE SCHRDDINGER METHOD 97
5.1 INTRODUCTION 98
5.2 PHASE-SPACE DESCRIPTION OF COLD DARK MATTER 103
5.2.1 FROM KLIMONTOVICH TO VLASOV EQUATION 103
5.2.2 DUST MODEL 104
5.2.3 COARSE-GRAINED VLASOV EQUATION 105
5.2.4 HUSIMI-VLASOV EQUATION 106
5.3 HIERARCHY OF MOMENTS ILL
5.3.1 HIERARCHY OF MOMENTS OF /D 113
5.3.2 HIERARCHY OF MOMENTS OF /
W
113
5.3.3 HIERARCHY OF MOMENTS OF /
W
115
5.3.4 COMPARISON BETWEEN THE MODELS 118
5.4 NUMERICAL EXAMPLE 119
5.4.1 INITIAL CONDITIONS 119
5.4.2 TIME EVOLUTION OF /
H
AND MOMENTS 120
5.5 PROSPECTS 123
5.6 CONCLUSION 125
CONTENTS XIII
APPENDICES 127
5.A EXPLICIT CALCULATION FOR
CLOSURE OF THE HIERARCHY 127
5.B LAGRANGIAN FORMULATION 129
6 GAUSSIAN MULTI-STREAMING MODEL FOR REDSHIFT SPACE DISTORTIONS 131
6.1 INTRODUCTION 132
6.2 COARSE-GRAINED DUST MODEL 135
6.2.1 VLASOV EQUATION AND CUMULANT HIERARCHY 135
6.3 PERTURBATION THEORY FOR DUST 138
6.3.1 EULERIAN PERTURBATION THEORY 138
6.3.2 LAGRANGIAN PERTURBATION THEORY 140
6.3.3 MAPPING BETWEEN EULERIAN AND LAGRANGIAN PICTURE 141
6.4 PERTURBATION THEORY FOR COARSE GRAINED
DUST 142
6.4.1 EULERIAN KERNELS FOR DENSITY
AND VELOCITY 142
6.4.2 EULERIAN POWER AND CROSS SPECTRA 144
6.4.3 LAGRANGIAN DISPLACEMENT KERNELS 147
6.5 GENERALIZED GAUSSIAN STREAMING MODEL 149
6.5.1 SINGLE-STREAM CASE 149
6.5.2 GENERALIZATION TO MULTIPLE STREAMS 153
6.5.3 APPLICATION TO THE COARSE-GRAINED DUST MODEL 155
6.6 RESULTS: IMPROVED TWO-POINT STATISTICS 157
6.6.1 HORIZON RUN HALO CATALOG AND MASS FUNCTION 158
6.6.2 CORRELATION FUNCTIONS AND PAIRWISE VELOCITY 159
6.6.3 STATUS OF THE TRUNCATED (POST-)ZEL DOVICH APPROXIMATION 176
6.7 CONCLUSION AND OUTLOOK 177
APPENDICES 180
6. A POWER SPECTRA 180
6.A.1 VORTICITY AND VELOCITY DIVERGENCE 180
6.A.2 CROSS SPECTRUM BETWEEN DENSITY AND VELOCITY DIVERGENCE 182
6.B LAGRANGIAN CORRELATORS 183
6.C CALCULATION OF GAUSSIAN STREAMING FUNCTIONS 187
6.C.1 CALCULATION OF 1 + ** 187
6.C.2 CALCULATION OF U12 189
6.C.3 CALCULATION OF OF
2
189
|
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| subject_GND | (DE-588)4113937-9 |
| title | Models of large-scale structure formation in cosmology |
| title_auth | Models of large-scale structure formation in cosmology |
| title_exact_search | Models of large-scale structure formation in cosmology |
| title_full | Models of large-scale structure formation in cosmology von Michael Kopp |
| title_fullStr | Models of large-scale structure formation in cosmology von Michael Kopp |
| title_full_unstemmed | Models of large-scale structure formation in cosmology von Michael Kopp |
| title_short | Models of large-scale structure formation in cosmology |
| title_sort | models of large scale structure formation in cosmology |
| topic_facet | Hochschulschrift |
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