An introduction to mathematical cosmology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2002
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 248 S. graph. Darst. |
| ISBN: | 0521499739 0521496500 |
Internformat
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Datensatz im Suchindex
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| adam_text | AN INTRODUCTION TO MATHEMATICAL COSMOLOGY SECOND EDITION J. N. ISLAM
RESEARCH CENTRE FOR MATHEMATICAL AND PHYSICAL SCIENCES, UNIVERSITY OF
CHITTAGONG, BANGLADESH SUB GOTTINGEN 7 213 484 544 2001 A 3321 CAMBRIDGE
UNIVERSITY PRESS CONTENTS PREFACE TO THE FIRST EDITION PAGE IX PREFACE
TO THE SECOND EDITION XI 1 SOME BASIC CONCEPTS AND AN OVERVIEW OF
COSMOLOGY 1 2 INTRODUCTION TO GENERAL RELATIVITY 12 2.1 SUMMARY OF
GENERAL RELATIVITY 12 2.2 SOME SPECIAL TOPICS IN GENERAL RELATIVITY 18
2.2.1 KILLING VECTORS 18 2.2.2 TENSOR DENSITIES 21 2.2.3 GAUSS AND
STOKES THEOREMS 24 2.2.4 THE ACTION PRINCIPLE FOR GRAVITATION 28 2.2.5
SOME FURTHER TOPICS 32 3 THE ROBERTSON-WALKER METRIC 37 3.1 A SIMPLE
DERIVATION OF THE ROBERTSON-WALKER METRIC 37 3.2 SOME GEOMETRIC
PROPERTIES OF THE ROBERTSON- WALKER METRIC 42 3.3 SOME KINEMATIC
PROPERTIES OF THE ROBERTSON- WALKER METRIC 45 3.4 THE EINSTEIN EQUATIONS
FOR THE ROBERTSON-WALKER METRIC 51 3.5 RIGOROUS DERIVATION OF THE
ROBERTSON-WALKER METRIC 53 4 THE FRIEDMANN MODELS 60 4.1 INTRODUCTION 60
4.2 EXACT SOLUTION FOR ZERO PRESSURE 64 4.3 SOLUTION FOR PURE RADIATION
67 4.4 BEHAVIOUR NEAR T = 0 68 4.5 EXACT SOLUTION CONNECTING RADIATION
AND MATTER ERAS 68 VI CONTENTS 4.6 THE RED-SHIFT VERSUS DISTANCE
RELATION 71 4.7 PARTICLE AND EVENT HORIZONS 73 5 THE HUBBLE CONSTANT AND
THE DECELERATION PARAMETER 76 5.1 INTRODUCTION 76 5.2 MEASUREMENT OF H O
11 5.3 MEASUREMENT OF Q 0 80 5.4 FURTHER REMARKS ABOUT OBSERVATIONAL
COSMOLOGY 85 APPENDIX TO CHAPTER 5 90 6 MODELS WITH A COSMOLOGICAL
CONSTANT 94 6.1 INTRODUCTION 94 6.2 FURTHER REMARKS ABOUT THE
COSMOLOGICAL CONSTANT 98 6.3 LIMITS ON THE COSMOLOGICAL CONSTANT 100 6.4
SOME RECENT DEVELOPMENTS REGARDING THE COSMOLOGICAL CONSTANT AND RELATED
MATTERS 102 6.4.1 INTRODUCTION 102 6.4.2 AN EXACT SOLUTION WITH
COSMOLOGICAL CONSTANT 104 6.4.3 RESTRICTION OF PARAMETER SPACE 107 7
SINGULARITIES IN COSMOLOGY 112 7.1 INTRODUCTION 112 7.2 HOMOGENEOUS
COSMOLOGIES 113 7.3 SOME RESULTS OF GENERAL RELATIVISTIC HYDRODYNAMICS
115 7.4 DEFINITION OF SINGULARITIES 118 7.5 AN EXAMPLE OF A SINGULARITY
THEOREM 120 7.6 AN ANISOTROPIC MODEL 121 7.7 THE OSCILLATORY APPROACH TO
SINGULARITIES 122 7.8 A SINGULARITY-FREE UNIVERSE? 126 8 THE EARLY
UNIVERSE 128 8.1 INTRODUCTION 128 8.2 THE VERY EARLY UNIVERSE 135 8.3
EQUATIONS IN THE EARLY UNIVERSE 142 8.4 BLACK-BODY RADIATION AND THE
TEMPERATURE OF THE EARLY UNIVERSE 143 8.5 EVOLUTION OF THE MASS-ENERGY
DENSITY 148 8.6 NUCLEOSYNTHESIS IN THE EARLY UNIVERSE 153 8.7 FURTHER
REMARKS ABOUT HELIUM AND DEUTERIUM 159 8.8 NEUTRINO TYPES AND MASSES 164
CONTENTS VII 9 THE VERY EARLY UNIVERSE AND INFLATION 9.1 9.2 9.3 9.4 9.5
9.6 INTRODUCTION INFLATIONARY MODELS - QUALITATIVE DISCUSSION
INFLATIONARY MODELS - QUANTITATIVE DESCRIPTION AN EXACT INFLATIONARY
SOLUTION FURTHER REMARKS ON INFLATION MORE INFLATIONARY SOLUTIONS
APPENDIX TO CHAPTER 9 10 QUANTUM COSMOLOGY 10.1 10.2 10.3 10.4 10.5 10.6
10.7 10.8 10.9 10.10 INTRODUCTION HAMILTONIAN FORMALISM THE SCHRODINGER
FUNCTIONAL EQUATION FOR A SCALAR FIELD A FUNCTIONAL DIFFERENTIAL
EQUATION SOLUTION FOR A SCALAR FIELD THE FREE ELECTROMAGNETIC FIELD THE
WHEELER-DE WITT EQUATION PATH INTEGRALS CONFORMAL FLUCTUATIONS FURTHER
REMARKS ABOUT QUANTUM COSMOLOGY 11 THE DISTANT FUTURE OF THE UNIVERSE
11.1 11.2 11.3 11.4 11.5 11.6 APPENDIX INTRODUCTION THREE WAYS FOR A
STAR TO DIE GALACTIC AND SUPERGALACTIC BLACK HOLES BLACK-HOLE
EVAPORATION SLOW AND SUBTLE CHANGES A COLLAPSING UNIVERSE *BIBLIOGRAPHY
INDEX 166 166 167 174 178 180 183 186 189 189 191 195 197 199 199 201
202 206 209 211 211 211 213 215 21,6 218 220 238 247
|
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| discipline | Physik |
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| isbn | 0521499739 0521496500 |
| language | English |
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| physical | XII, 248 S. graph. Darst. |
| publishDate | 2002 |
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| spelling | Islam, Jamal N. Verfasser aut An introduction to mathematical cosmology J. N. Islam 2. ed. Cambridge [u.a.] Cambridge Univ. Press 2002 XII, 248 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cosmologie - Mathématiques Mathematik Cosmology Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Kosmologie (DE-588)4114294-9 gnd rswk-swf Kosmologie (DE-588)4114294-9 s Mathematik (DE-588)4037944-9 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009706779&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 | Islam, Jamal N. An introduction to mathematical cosmology Cosmologie - Mathématiques Mathematik Cosmology Mathematics Mathematik (DE-588)4037944-9 gnd Kosmologie (DE-588)4114294-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4114294-9 |
| title | An introduction to mathematical cosmology |
| title_auth | An introduction to mathematical cosmology |
| title_exact_search | An introduction to mathematical cosmology |
| title_full | An introduction to mathematical cosmology J. N. Islam |
| title_fullStr | An introduction to mathematical cosmology J. N. Islam |
| title_full_unstemmed | An introduction to mathematical cosmology J. N. Islam |
| title_short | An introduction to mathematical cosmology |
| title_sort | an introduction to mathematical cosmology |
| topic | Cosmologie - Mathématiques Mathematik Cosmology Mathematics Mathematik (DE-588)4037944-9 gnd Kosmologie (DE-588)4114294-9 gnd |
| topic_facet | Cosmologie - Mathématiques Mathematik Cosmology Mathematics Kosmologie |
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