General relativity without calculus: a concise introduction to the geometry of relativity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
|
| Schriftenreihe: | Undergraduate lecture notes in physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XI, 126 S. Ill., graph. Darst. |
| ISBN: | 9783642214516 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 SPECIAL RELATIVITY 1
1.1 RELATIVITY OF MOTION 1
1.2 INERTIAL FRAMES 2
1.3 GALILEO TRANSFORMATIONS 3
1.4 VELOCITY ADDITION FORMULA 4
1.5 LORENTZ TRANSFORMATIONS 5
1.6 RELATIVISTIC VELOCITY ADDITION FORMULA 6
1.7 TIME DILATION 7
1.8 DERIVATION OF THE LORENTZ TRANSFORMATION FORMULAS 7 1.9 IMPORTANT
FORMULAS 8
1.10 EXERCISES 9
1.11 SOLUTIONS 11
2 MINKOWSKI GEOMETRY 17
2.1 UNITS 17
2.2 SPACE-TIME DIAGRAMS 18
2.3 INTERVAL BETWEEN EVENTS 19
2.4 GENERALIZED TWIN PARADOX 21
2.5 MORE DIMENSIONS 24
2.6 IMPORTANT FORMULAS 25
2.7 EXERCISES 25
2.8 SOLUTIONS 28
3 NON-EUCLIDEAN GEOMETRY 35
3.1 CURVILINEAR COORDINATES 35
3.2 THE SPHERE 37
3.3 GEODESIES 39
3.4 CURVATURE 41
3.5 OTHER MAPS OF THE SPHERE 42
3.6 OTHER GEOMETRIES 44
3.7 EXERCISES 45
3.8 SOLUTIONS 46
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1011458152
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
4 GRAVITY 49
4.1 NEWTON'S LAW OF UNIVERSAL GRAVITATION 49
4.2 UNITS 50
4.3 ESCAPE VELOCITY 50
4.4 KEPLER LAWS 51
4.5 CIRCULAR ORBITS. 52
4.6 IMPORTANT FORMULAS 54
4.7 EXERCISES 54
4.8 SOLUTIONS 55
5 GENERAL RELATIVITY 59
5.1 EQUIVALENCE PRINCIPLE 59
5.2 GRAVITATIONAL REDSHIFT 60
5.3 CURVED SPACE-TIME 61
5.4 IMPORTANT FORMULAS 63
5.5 EXERCISES 64
5.6 SOLUTIONS 65
6 THE SCHWARZSCHILD SOLUTION 69
6.1 THE SCHWARZSCHILD SOLUTION 70
6.2 STATIONARY OBSERVERS 71
6.3 REDSHIFT 71
6.4 SPACE CURVATURE 72
6.5 ORBITS 73
6.6 LIGHT RAYS 74
6.7 BLACK HOLES 77
6.8 IMPORTANT FORMULAS 80
6.9 EXERCISES 81
6.10 SOLUTIONS 84
7 COSMOLOGY 95
7.1 REDSHIFT 95
7.2 HUBBLE LAW 96
7.3 FLRW MODELS 96
7.4 HUBBLE LAW IN THE FLRW MODELS 99
7.5 REDSHIFT IN THE FLRW MODELS 100
7.6 FRIEDMANN EQUATIONS 101
7.7 IMPORTANT FORMULAS 103
7.8 EXERCISES 104
7.9 SOLUTIONS 106
8 MATHEMATICS AND PHYSICS 115
8.1 MATHEMATICS FOR GENERAL RELATIVITY 315
8.2 MODERN PHYSICS 116
IMAGE 3
CONTENTS XI
ASTRONOMICAL DATA 119
BIBLIOGRAPHY 121
INDEX 123 |
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| author | Natário, José |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.11 |
| dewey-search | 530.11 |
| dewey-sort | 3530.11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| spelling | Natário, José Verfasser (DE-588)1014905249 aut General relativity without calculus a concise introduction to the geometry of relativity José Natário Berlin [u.a.] Springer 2011 XI, 126 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate lecture notes in physics Lehrbuch (DE-588)4123623-3 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 s Lehrbuch (DE-588)4123623-3 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-21452-3 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3725892&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024398795&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Natário, José General relativity without calculus a concise introduction to the geometry of relativity Lehrbuch (DE-588)4123623-3 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4123623-3 (DE-588)4112491-1 |
| title | General relativity without calculus a concise introduction to the geometry of relativity |
| title_auth | General relativity without calculus a concise introduction to the geometry of relativity |
| title_exact_search | General relativity without calculus a concise introduction to the geometry of relativity |
| title_full | General relativity without calculus a concise introduction to the geometry of relativity José Natário |
| title_fullStr | General relativity without calculus a concise introduction to the geometry of relativity José Natário |
| title_full_unstemmed | General relativity without calculus a concise introduction to the geometry of relativity José Natário |
| title_short | General relativity without calculus |
| title_sort | general relativity without calculus a concise introduction to the geometry of relativity |
| title_sub | a concise introduction to the geometry of relativity |
| topic | Lehrbuch (DE-588)4123623-3 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Lehrbuch Allgemeine Relativitätstheorie |
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