Einstein's space-time: an introduction to special and general relativity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2007
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 310 S. Ill., graph. Darst. |
| ISBN: | 9780387699462 0387699465 |
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Datensatz im Suchindex
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EINSTEIN'S SPACE-TIME AN INTRODUCTION TO SPECIAL AND GENERAL RELATIVITY
RAFAEL FERRARO UNIVERSIDAD DE BUENOS AIRES CONSEJO NATIONAL DE
LNVESTIGACION.ES CIENTIFICAS Y TECNICAS (REPIIBLICA ARGENTINA) 4Y
SPRINGER CONTENTS LIST OF COMPLEMENTS XV LIST OF BIOGRAPHIES XVII 1.
SPACE AND TIME BEFORE EINSTEIN 1 1.1. ABSOLUTE SPACE AND TIME 1 1.2.
GEOMETRIC PROPERTIES OF THE SPACE 2 1.3. GALILEO AND THE LAWS OF MOTION
4 1.4. CHANGE OF COORDINATES BETWEEN FRAMES IN RELATIVE MOTION 6 1.5.
PRINCIPLE OF INERTIA 8 1.6. PRINCIPLE OF RELATIVITY 9 1.7. PHYSICAL
PHENOMENA HAVING A PRIVILEGED REFERENCE SYSTEM 11 1.8. MAXWELL'S
ELECTROMAGNETISM 13 2. IN SEARCH OF THE ETHER 17 2.1. TWO MODELS FOR THE
LIGHT 17 2.2. FIRST DETERMINATION OF THE SPEED OF LIGHT 21 2.3. THE
ABERRATION OF LIGHT 23 2.4. FIRST TERRESTRIAL METHOD TO MEASURE C 26
2.5. THE LUMINIFEROUS ETHER ; 27 2.6. SEARCHING FOR THE ABSOLUTE
TERRESTRIAL MOTION: DRAGGING OF ETHER 29 2.7. FIZEAU'S EXPERIMENT 32
2.8. HOEK'S EXPERIMENT 34 2.9. AIRY'S EXPERIMENT 36 2.10.
MICHELSON-MORLEY EXPERIMENT 36 2.11. FITZGERALD-LORENTZ LENGTH
CONTRACTION 43 2.12. THE TWILIGHT OF THE ETHER 44 XII CONTENTS 3. SPACE
AND TIME IN SPECIAL RELATIVITY 47 3.1. POSTULATES OF SPECIAL RELATIVITY
47 3.2. LENGTH CONTRACTIONS AND TIME DILATATIONS 49 3.3. THE MUOFT
JOURNEY 52 3.4. LENGTHS TRANSVERSAL TO MOTION 53 3.5. COMPOSITION OF
MOTIONS 54 3.6. INTERPRETATION OF FIZEAU'S EXPERIMENT 57 3.7.
TRANSVERSAL COMPONENTS OF THE VELOCITY 58 3.8. THE NOTION OF
SIMULTANEITY 58 3.9. EVENTS AND WORLD LINES 62 3.10. COORDINATE LINES OF
S' IN THE SPACE-TIME DIAGRAM OF S 65 3.11. LORENTZ TRANSFORMATIONS 69
3.12. COMPARING CLOCKS IN DIFFERENT FRAMES 74 3.13. VELOCITY AND
ACCELERATION TRANSFORMATIONS 78 3.14. "PARADOXES": REMNANTS OF CLASSICAL
THOUGHT 81 3.15. DOPPLER EFFECT 86 3.16. TRANSFORMATION OF LIGHT RAYS 90
3.17. TRANSFORMATION OF A PLANE WAVE 92 3.18. PROPAGATION OF LIGHT IN
MATERIAL MEDIA 95 4. GEOMETRIC STRUCTURE OF SPACE-TIME 97 4.1. INTERVAL
97 4.2. CALIBRATION HYPERBOLA 98 4.3. LIGHT CONE 100 4.4.
TIMELIKE-SEPARATED EVENTS 101 4.5. TWIN PARADOX 103 4.6.
SPACELIKE-SEPARATED EVENTS 107 4.7. VELOCITY PARAMETER: RAPIDITY 109
4.8. WIGNER ROTATION 111 5. TRANSFORMATION OF THE ELECTROMAGNETIC FIELD
117 5.1. THE ELECTROMAGNETIC PLANE WAVE 117 5.2. TRANSFORMATION OF E AND
B 119 5.3. CHARGE AND CURRENT TRANSFORMATIONS 122 5.4. FIELD OF A
UNIFORMLY MOVING CHARGE 126 5.5. TRANSFORMATION OF POTENTIALS 127 5.6.
FIELDS IN MATERIAL MEDIA 128 5.7. MOVING DIPOLES FIELDS 130 5.8. LORENTZ
FORCE TRANSFORMATION 132 5.9. ELECTROMAGNETIC FIELD INVARIANTS 133
CONTENTS XIII 6. ENERGY AND MOMENTUM 135 6.1. CONSERVATION LAWS 135 6.2.
ENERGY AND MOMENTUM OF A PARTICLE : 137 6.3. ENERGY-MOMENTUM INVARIANT.
FORCE 141 6.4. CHARGE MOVEMENT IN UNIFORM FIELDS 143 6.5.
CENTER-OF-MOMENTUM FRAME 146 6.6. PHENOMENA DERIVED FROM MASS-ENERGY
EQUIVALENCE 148 6.7. CENTER OF INERTIA 153 6.8. ELASTIC COLLISIONS 155
6.9. INTERACTION BETWEEN ELECTROMAGNETIC RADIATION AND MATTER 163 7.
COVARIANT FORMULATION 171 7.1. FOUR-TENSORS 171 7.2. METRIC 176 7.3.
FOUR-VECTOR "NORM" AND ARGUMENT 180 7.4. ANGULAR MOMENTUM 181 7.5.
VOLUME AND HYPERSURFACES 184 7.6. ENERGY-MOMENTUM TENSOR OF CONTINUOUS
MEDIA 188 7.7. ELECTROMAGNETISM 197 7.8. FERMI-WALKER TRANSPORT 202 8.
INERTIA AND GRAVITY 207 8.1. THE CRITICISM OF ABSOLUTE MOTION 207 8.2.
THE PRINCIPLE OF EQUIVALENCE '. 210 8.3. THE INERTIAL-GRAVITATIONAL
FIELD 215 8.4. RIEMANNIAN GEOMETRY 220 8.5. MOTION OF A FREELY
GRAVITATING PARTICLE ; 223 8.6. COVARIANT DERIVATIVE. MINIMAL COUPLING ;
227 8.7. RIEMANN TENSOR. EINSTEIN EQUATIONS 234 9. RESULTS OF GENERAL
RELATIVITY 243 9.1. SCHWARZSCHILD SOLUTION. BLACK HOLE 243 9.2. INERTIAL
MOVEMENT IN SCHWARZSCHILD GEOMETRY 246 9.3. LIGHT DEFLECTION IN
SCHWARZSCHILD GEOMETRY 251 9.4. KRUSKAL-SZEKERES COORDINATES 253 9.5.
COSMOLOGICAL MODELS 257 9.6. EVOLUTION OF THE UNIVERSE 264 9.7.
NON-MACHIAN SOLUTIONS. COSMOLOGICAL CONSTANT 272 9.8. PROBLEMS OF THE
STANDARD BIG-BANG MODEL 278 9.9. EXPERIMENTAL TESTS 282 XIV CONTENTS
APPENDIX 287 A.I. EULER-LAGRANGE EQUATION 287 A.2. THE ACTION FUNCTIONAL
288 A.3. METRIC ENERGY-MOMENTUM TENSOR 291 A.4. GAUGE TRANSFORMATIONS
AND SOURCE CONSERVATION 292 A.5. KILLING VECTORS AND ENERGY-MOMENTUM
CONSERVATION 294 BIBLIOGRAPHY 297 CITED PAPERS 299 INDEX 303 |
| adam_txt |
EINSTEIN'S SPACE-TIME AN INTRODUCTION TO SPECIAL AND GENERAL RELATIVITY
RAFAEL FERRARO UNIVERSIDAD DE BUENOS AIRES CONSEJO NATIONAL DE
LNVESTIGACION.ES CIENTIFICAS Y TECNICAS (REPIIBLICA ARGENTINA) 4Y
SPRINGER CONTENTS LIST OF COMPLEMENTS XV LIST OF BIOGRAPHIES XVII 1.
SPACE AND TIME BEFORE EINSTEIN 1 1.1. ABSOLUTE SPACE AND TIME 1 1.2.
GEOMETRIC PROPERTIES OF THE SPACE 2 1.3. GALILEO AND THE LAWS OF MOTION
4 1.4. CHANGE OF COORDINATES BETWEEN FRAMES IN RELATIVE MOTION 6 1.5.
PRINCIPLE OF INERTIA 8 1.6. PRINCIPLE OF RELATIVITY 9 1.7. PHYSICAL
PHENOMENA HAVING A PRIVILEGED REFERENCE SYSTEM 11 1.8. MAXWELL'S
ELECTROMAGNETISM 13 2. IN SEARCH OF THE ETHER 17 2.1. TWO MODELS FOR THE
LIGHT 17 2.2. FIRST DETERMINATION OF THE SPEED OF LIGHT 21 2.3. THE
ABERRATION OF LIGHT 23 2.4. FIRST TERRESTRIAL METHOD TO MEASURE C 26
2.5. THE LUMINIFEROUS ETHER ; 27 2.6. SEARCHING FOR THE ABSOLUTE
TERRESTRIAL MOTION: DRAGGING OF ETHER 29 2.7. FIZEAU'S EXPERIMENT 32
2.8. HOEK'S EXPERIMENT 34 2.9. AIRY'S EXPERIMENT 36 2.10.
MICHELSON-MORLEY EXPERIMENT 36 2.11. FITZGERALD-LORENTZ LENGTH
CONTRACTION 43 2.12. THE TWILIGHT OF THE ETHER 44 XII CONTENTS 3. SPACE
AND TIME IN SPECIAL RELATIVITY 47 3.1. POSTULATES OF SPECIAL RELATIVITY
47 3.2. LENGTH CONTRACTIONS AND TIME DILATATIONS 49 3.3. THE MUOFT
JOURNEY 52 3.4. LENGTHS TRANSVERSAL TO MOTION 53 3.5. COMPOSITION OF
MOTIONS 54 3.6. INTERPRETATION OF FIZEAU'S EXPERIMENT 57 3.7.
TRANSVERSAL COMPONENTS OF THE VELOCITY 58 3.8. THE NOTION OF
SIMULTANEITY 58 3.9. EVENTS AND WORLD LINES 62 3.10. COORDINATE LINES OF
S' IN THE SPACE-TIME DIAGRAM OF S 65 3.11. LORENTZ TRANSFORMATIONS 69
3.12. COMPARING CLOCKS IN DIFFERENT FRAMES 74 3.13. VELOCITY AND
ACCELERATION TRANSFORMATIONS 78 3.14. "PARADOXES": REMNANTS OF CLASSICAL
THOUGHT 81 3.15. DOPPLER EFFECT 86 3.16. TRANSFORMATION OF LIGHT RAYS 90
3.17. TRANSFORMATION OF A PLANE WAVE 92 3.18. PROPAGATION OF LIGHT IN
MATERIAL MEDIA 95 4. GEOMETRIC STRUCTURE OF SPACE-TIME 97 4.1. INTERVAL
97 4.2. CALIBRATION HYPERBOLA 98 4.3. LIGHT CONE 100 4.4.
TIMELIKE-SEPARATED EVENTS 101 4.5. TWIN PARADOX 103 4.6.
SPACELIKE-SEPARATED EVENTS 107 4.7. VELOCITY PARAMETER: RAPIDITY 109
4.8. WIGNER ROTATION 111 5. TRANSFORMATION OF THE ELECTROMAGNETIC FIELD
117 5.1. THE ELECTROMAGNETIC PLANE WAVE 117 5.2. TRANSFORMATION OF E AND
B 119 5.3. CHARGE AND CURRENT TRANSFORMATIONS 122 5.4. FIELD OF A
UNIFORMLY MOVING CHARGE 126 5.5. TRANSFORMATION OF POTENTIALS 127 5.6.
FIELDS IN MATERIAL MEDIA 128 5.7. MOVING DIPOLES FIELDS 130 5.8. LORENTZ
FORCE TRANSFORMATION 132 5.9. ELECTROMAGNETIC FIELD INVARIANTS 133
CONTENTS XIII 6. ENERGY AND MOMENTUM 135 6.1. CONSERVATION LAWS 135 6.2.
ENERGY AND MOMENTUM OF A PARTICLE : 137 6.3. ENERGY-MOMENTUM INVARIANT.
FORCE 141 6.4. CHARGE MOVEMENT IN UNIFORM FIELDS 143 6.5.
CENTER-OF-MOMENTUM FRAME 146 6.6. PHENOMENA DERIVED FROM MASS-ENERGY
EQUIVALENCE 148 6.7. CENTER OF INERTIA 153 6.8. ELASTIC COLLISIONS 155
6.9. INTERACTION BETWEEN ELECTROMAGNETIC RADIATION AND MATTER 163 7.
COVARIANT FORMULATION 171 7.1. FOUR-TENSORS 171 7.2. METRIC 176 7.3.
FOUR-VECTOR "NORM" AND ARGUMENT 180 7.4. ANGULAR MOMENTUM 181 7.5.
VOLUME AND HYPERSURFACES 184 7.6. ENERGY-MOMENTUM TENSOR OF CONTINUOUS
MEDIA 188 7.7. ELECTROMAGNETISM 197 7.8. FERMI-WALKER TRANSPORT 202 8.
INERTIA AND GRAVITY 207 8.1. THE CRITICISM OF ABSOLUTE MOTION 207 8.2.
THE PRINCIPLE OF EQUIVALENCE '. 210 8.3. THE INERTIAL-GRAVITATIONAL
FIELD 215 8.4. RIEMANNIAN GEOMETRY 220 8.5. MOTION OF A FREELY
GRAVITATING PARTICLE ; 223 8.6. COVARIANT DERIVATIVE. MINIMAL COUPLING ;
227 8.7. RIEMANN TENSOR. EINSTEIN EQUATIONS 234 9. RESULTS OF GENERAL
RELATIVITY 243 9.1. SCHWARZSCHILD SOLUTION. BLACK HOLE 243 9.2. INERTIAL
MOVEMENT IN SCHWARZSCHILD GEOMETRY 246 9.3. LIGHT DEFLECTION IN
SCHWARZSCHILD GEOMETRY 251 9.4. KRUSKAL-SZEKERES COORDINATES 253 9.5.
COSMOLOGICAL MODELS 257 9.6. EVOLUTION OF THE UNIVERSE 264 9.7.
NON-MACHIAN SOLUTIONS. COSMOLOGICAL CONSTANT 272 9.8. PROBLEMS OF THE
STANDARD BIG-BANG MODEL 278 9.9. EXPERIMENTAL TESTS 282 XIV CONTENTS
APPENDIX 287 A.I. EULER-LAGRANGE EQUATION 287 A.2. THE ACTION FUNCTIONAL
288 A.3. METRIC ENERGY-MOMENTUM TENSOR 291 A.4. GAUGE TRANSFORMATIONS
AND SOURCE CONSERVATION 292 A.5. KILLING VECTORS AND ENERGY-MOMENTUM
CONSERVATION 294 BIBLIOGRAPHY 297 CITED PAPERS 299 INDEX 303 |
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| index_date | 2024-07-02T17:29:18Z |
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| spelling | Ferraro, Rafael Verfasser aut Einstein's space-time an introduction to special and general relativity Rafael Ferraro New York, NY Springer 2007 XVII, 310 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Espace et temps Relativité générale (Physique) Relativité restreinte (Physique) General relativity (Physics) Space and time Special relativity (Physics) Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf Relativitätstheorie (DE-588)4049363-5 s Raum-Zeit (DE-588)4302626-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015639084&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ferraro, Rafael Einstein's space-time an introduction to special and general relativity Espace et temps Relativité générale (Physique) Relativité restreinte (Physique) General relativity (Physics) Space and time Special relativity (Physics) Raum-Zeit (DE-588)4302626-6 gnd Relativitätstheorie (DE-588)4049363-5 gnd |
| subject_GND | (DE-588)4302626-6 (DE-588)4049363-5 |
| title | Einstein's space-time an introduction to special and general relativity |
| title_auth | Einstein's space-time an introduction to special and general relativity |
| title_exact_search | Einstein's space-time an introduction to special and general relativity |
| title_exact_search_txtP | Einstein's space-time an introduction to special and general relativity |
| title_full | Einstein's space-time an introduction to special and general relativity Rafael Ferraro |
| title_fullStr | Einstein's space-time an introduction to special and general relativity Rafael Ferraro |
| title_full_unstemmed | Einstein's space-time an introduction to special and general relativity Rafael Ferraro |
| title_short | Einstein's space-time |
| title_sort | einstein s space time an introduction to special and general relativity |
| title_sub | an introduction to special and general relativity |
| topic | Espace et temps Relativité générale (Physique) Relativité restreinte (Physique) General relativity (Physics) Space and time Special relativity (Physics) Raum-Zeit (DE-588)4302626-6 gnd Relativitätstheorie (DE-588)4049363-5 gnd |
| topic_facet | Espace et temps Relativité générale (Physique) Relativité restreinte (Physique) General relativity (Physics) Space and time Special relativity (Physics) Raum-Zeit Relativitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015639084&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ferrarorafael einsteinsspacetimeanintroductiontospecialandgeneralrelativity |