Uniformly accelerating charged particles: a threat to the equivalence principle
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Springer
2008
|
| Edition: | 1. ed. |
| Series: | Fundamental Theories of Physics
158 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 354 S. Ill., Darst. |
| ISBN: | 9783540684695 |
Staff View
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| adam_text | CONTENTS
1 A DOUBT ABOUT THE EQUIVALENCE PRINCIPLE 1
2 FROM MINKOWSKI SPACETIME TO GENERAL RELATIVITY
5
2.1 SEMI-EUCLIDEAN COORDINATE SYSTEMS 5
2.2 THE SE METRIC FOR UNIFORM ACCELERATION
IS THE ONLY STATIC SE METRIC 10
2.3 THE STEP TO GENERAL RELATIVITY 15
2.4 WEAK FIELD APPROXIMATION 24
2.5 GEODESIC PRINCIPLE 36
3 GRAVITY AS A FORCE IN SPECIAL RELATIVITY 47
4 APPLYING THE STRONG EQUIVALENCE PRINCIPLE 51
5 THE DEBATE CONTINUES 59
6 A MORE DETAILED RADIATION CALCULATION 67
7 DEFINING THE RADIATION
FROM A UNIFORMLY ACCELERATING CHARGE 71
8 ENERGY CONSERVATION FOR A UNIFORMLY ACCELERATED CHARGE 77
9 THE THREAT TO THE EQUIVALENCE PRINCIPLE
ACCORDING TO FULTON AND ROHRLICH 83
10 DIFFERENT PREDICTIONS OF SPECIAL RELATIVITY
AND GENERAL RELATIVITY
89
10.1 FOUR CASES FOR SPECIAL RELATIVITY 89
10.2 FOUR CASES FOR GENERAL RELATIVITY 90
10.3 CONCLUSION 91
GESCANNT DURCH
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/988629259
DIGITALISIERT DURCH
XII CONTENTS
11 DERIVATION OF THE LORENTZ-DIRAC EQUATION
93
11.1 PARROTT S DERIVATION 93
11.2 DIRAC S DERIVATION 101
11.3 CONCLUSION 104
11.4 SELF-FORCE CALCULATION 105
12 EXTENDING THE LORENTZ-DIRAC EQUATION TO CURVED SPACETIME
107
12.1 EQUATION OF MOTION OF A CHARGED PARTICLE 107
12.2 THE EQUIVALENCE PRINCIPLE IN ALL THIS 112
12.3 CONCLUSIONS 125
13 STATIC CHARGE IN A STATIC SPACETIME
127
14 A RADIATION DETECTOR
137
14.1 EQUIVALENCE PRINCIPLE ACCORDING TO MOULD 137
14.2 CONSTRUCTION OF THE DETECTOR
AND CALCULATIONS IN GENERAL COORDINATES 144
14.3 DETECTING RADIATION WHERE THERE IS NONE 153
14.4 CONCLUSION 155
15 THE DEFINITIVE MATHEMATICAL ANALYSIS
157
15.1 STATIC GRAVITATIONAL FIELD 160
15.2 RELATION WITH MINKOWSKI SPACETIME 163
15.3 WHAT THE UNIFORMLY ACCELERATED OBSERVER SEES 167
15.4 COORDINATE SINGULARITY IN THE SE METRIC 172
15.5 SOME SEMI-EUCLIDEAN GEOMETRY 174
15.6 REDSHIFT IN A UNIFORMLY ACCELERATING SE FRAME 179
15.7 INTERPRETING SEMI-EUCLIDEAN COORDINATES 186
15.8 ACCELERATIONS 188
15.9 FIELDS OF A UNIFORMLY ACCELERATED CHARGE 196
15.9.1 OBTAINING THE VECTOR POTENTIAL 196
15.9.2 OBTAINING THE ELECTROMAGNETIC FIELDS 204
15.9.3 ELECTROMAGNETIC FIELDS ON THE NULL SURFACE
Z+T
= 0 206
15.9.4 FIXING UP THE FIELDS ON THE NULL SURFACE 212
15.10 ORIGIN OF THE DELTA FUNCTION IN THE FIELD 217
15.11 CONCLUSIONS REGARDING THE FIELDS 229
15.11.1 FIELDS IN REGION I 229
15.11.2 FIELDS ALONG FORWARD LIGHT CONE OF POINT ON WORLDLINE.. 232
15.11.3 EQUIVALENCE OF ADVANCED AND RETARDED FIELDS 234
15.11.4 COMPARING RADIATED AND COULOMB FIELDS IN REGION I 236
15.11.5 SITUATION IN REGION II 241
15.12 STRESS-ENERGY TENSOR 245
15.12.1 STRESS-ENERGY TENSOR IN ACCELERATING FRAME 246
15.12.2 ENERGY FLUX 247
15.12.3 BOULWARE S CONCLUSION ABOUT ENERGY FLOW 252
15.13 GENERAL CONCLUSIONS 252
CONTENTS XIII
16 INTERPRETATION OF PHYSICAL QUANTITIES IN GENERAL RELATIVITY
255
16.1 DEFINITION OF ENERGY 257
16.2 LORENTZ BOOST KILLING VECTOR FIELD IN MINKOWSKI SPACETIME 258
16.3 KILLING VECTOR FIELD FOR STATIC SPACETIME 261
16.4 KILLING VECTOR FIELDS FOR SCHWARZSCHILD SPACETIME 262
16.5 ANOTHER METRIC 267
16.6 AND ANOTHER METRIC 269
16.7 RINDLER OR ELEVATOR COORDINATES 270
16.8 THE PROBLEM WITH THE POYNTING VECTOR 274
16.9 SCHWARZSCHILD SPACETIME REVISITED 282
16.10 ANTITHESIS OF THE PRESENT VIEW 284
17 CHARGED ROCKET
289
17.1 PREAMBLE 289
17.2 CALCULATION 298
17.3 CONCLUSION 305
18 SUMMARY
307
19 CONCLUSION
343
REFERENCES 349
INDEX
351
|
| adam_txt |
CONTENTS
1 A DOUBT ABOUT THE EQUIVALENCE PRINCIPLE 1
2 FROM MINKOWSKI SPACETIME TO GENERAL RELATIVITY
5
2.1 SEMI-EUCLIDEAN COORDINATE SYSTEMS 5
2.2 THE SE METRIC FOR UNIFORM ACCELERATION
IS THE ONLY STATIC SE METRIC 10
2.3 THE STEP TO GENERAL RELATIVITY 15
2.4 WEAK FIELD APPROXIMATION 24
2.5 GEODESIC PRINCIPLE 36
3 GRAVITY AS A FORCE IN SPECIAL RELATIVITY 47
4 APPLYING THE STRONG EQUIVALENCE PRINCIPLE 51
5 THE DEBATE CONTINUES 59
6 A MORE DETAILED RADIATION CALCULATION 67
7 DEFINING THE RADIATION
FROM A UNIFORMLY ACCELERATING CHARGE 71
8 ENERGY CONSERVATION FOR A UNIFORMLY ACCELERATED CHARGE 77
9 THE THREAT TO THE EQUIVALENCE PRINCIPLE
ACCORDING TO FULTON AND ROHRLICH 83
10 DIFFERENT PREDICTIONS OF SPECIAL RELATIVITY
AND GENERAL RELATIVITY
89
10.1 FOUR CASES FOR SPECIAL RELATIVITY 89
10.2 FOUR CASES FOR GENERAL RELATIVITY 90
10.3 CONCLUSION 91
GESCANNT DURCH
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/988629259
DIGITALISIERT DURCH
XII CONTENTS
11 DERIVATION OF THE LORENTZ-DIRAC EQUATION
93
11.1 PARROTT'S DERIVATION 93
11.2 DIRAC'S DERIVATION 101
11.3 CONCLUSION 104
11.4 SELF-FORCE CALCULATION 105
12 EXTENDING THE LORENTZ-DIRAC EQUATION TO CURVED SPACETIME
107
12.1 EQUATION OF MOTION OF A CHARGED PARTICLE 107
12.2 THE EQUIVALENCE PRINCIPLE IN ALL THIS 112
12.3 CONCLUSIONS 125
13 STATIC CHARGE IN A STATIC SPACETIME
127
14 A RADIATION DETECTOR
137
14.1 EQUIVALENCE PRINCIPLE ACCORDING TO MOULD 137
14.2 CONSTRUCTION OF THE DETECTOR
AND CALCULATIONS IN GENERAL COORDINATES 144
14.3 DETECTING RADIATION WHERE THERE IS NONE 153
14.4 CONCLUSION 155
15 THE DEFINITIVE MATHEMATICAL ANALYSIS
157
15.1 STATIC GRAVITATIONAL FIELD 160
15.2 RELATION WITH MINKOWSKI SPACETIME 163
15.3 WHAT THE UNIFORMLY ACCELERATED OBSERVER SEES 167
15.4 COORDINATE SINGULARITY IN THE SE METRIC 172
15.5 SOME SEMI-EUCLIDEAN GEOMETRY 174
15.6 REDSHIFT IN A UNIFORMLY ACCELERATING SE FRAME 179
15.7 INTERPRETING SEMI-EUCLIDEAN COORDINATES 186
15.8 ACCELERATIONS 188
15.9 FIELDS OF A UNIFORMLY ACCELERATED CHARGE 196
15.9.1 OBTAINING THE VECTOR POTENTIAL 196
15.9.2 OBTAINING THE ELECTROMAGNETIC FIELDS 204
15.9.3 ELECTROMAGNETIC FIELDS ON THE NULL SURFACE
Z+T
= 0 206
15.9.4 FIXING UP THE FIELDS ON THE NULL SURFACE 212
15.10 ORIGIN OF THE DELTA FUNCTION IN THE FIELD 217
15.11 CONCLUSIONS REGARDING THE FIELDS 229
15.11.1 FIELDS IN REGION I 229
15.11.2 FIELDS ALONG FORWARD LIGHT CONE OF POINT ON WORLDLINE. 232
15.11.3 EQUIVALENCE OF ADVANCED AND RETARDED FIELDS 234
15.11.4 COMPARING RADIATED AND COULOMB FIELDS IN REGION I 236
15.11.5 SITUATION IN REGION II 241
15.12 STRESS-ENERGY TENSOR 245
15.12.1 STRESS-ENERGY TENSOR IN ACCELERATING FRAME 246
15.12.2 ENERGY FLUX 247
15.12.3 BOULWARE'S CONCLUSION ABOUT ENERGY FLOW 252
15.13 GENERAL CONCLUSIONS 252
CONTENTS XIII
16 INTERPRETATION OF PHYSICAL QUANTITIES IN GENERAL RELATIVITY
255
16.1 DEFINITION OF ENERGY 257
16.2 LORENTZ BOOST KILLING VECTOR FIELD IN MINKOWSKI SPACETIME 258
16.3 KILLING VECTOR FIELD FOR STATIC SPACETIME 261
16.4 KILLING VECTOR FIELDS FOR SCHWARZSCHILD SPACETIME 262
16.5 ANOTHER METRIC 267
16.6 AND ANOTHER METRIC 269
16.7 RINDLER OR ELEVATOR COORDINATES 270
16.8 THE PROBLEM WITH THE POYNTING VECTOR 274
16.9 SCHWARZSCHILD SPACETIME REVISITED 282
16.10 ANTITHESIS OF THE PRESENT VIEW 284
17 CHARGED ROCKET
289
17.1 PREAMBLE 289
17.2 CALCULATION 298
17.3 CONCLUSION 305
18 SUMMARY
307
19 CONCLUSION
343
REFERENCES 349
INDEX
351 |
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| id | DE-604.BV023483241 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:38:45Z |
| indexdate | 2024-07-09T21:19:48Z |
| institution | BVB |
| isbn | 9783540684695 |
| language | English |
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| physical | XVI, 354 S. Ill., Darst. |
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| series2 | Fundamental Theories of Physics |
| spelling | Lyle, Stephen Verfasser aut Uniformly accelerating charged particles a threat to the equivalence principle Stephen Lyle 1. ed. Berlin Springer 2008 XVI, 354 S. Ill., Darst. txt rdacontent n rdamedia nc rdacarrier Fundamental Theories of Physics 158 Geladenes Teilchen (DE-588)4121332-4 gnd rswk-swf Äquivalenzprinzip Physik (DE-588)4725028-8 gnd rswk-swf Teilchenbeschleunigung (DE-588)4184611-4 gnd rswk-swf Äquivalenzprinzip Physik (DE-588)4725028-8 s DE-604 Geladenes Teilchen (DE-588)4121332-4 s Teilchenbeschleunigung (DE-588)4184611-4 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016665331&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lyle, Stephen Uniformly accelerating charged particles a threat to the equivalence principle Geladenes Teilchen (DE-588)4121332-4 gnd Äquivalenzprinzip Physik (DE-588)4725028-8 gnd Teilchenbeschleunigung (DE-588)4184611-4 gnd |
| subject_GND | (DE-588)4121332-4 (DE-588)4725028-8 (DE-588)4184611-4 |
| title | Uniformly accelerating charged particles a threat to the equivalence principle |
| title_auth | Uniformly accelerating charged particles a threat to the equivalence principle |
| title_exact_search | Uniformly accelerating charged particles a threat to the equivalence principle |
| title_exact_search_txtP | Uniformly accelerating charged particles a threat to the equivalence principle |
| title_full | Uniformly accelerating charged particles a threat to the equivalence principle Stephen Lyle |
| title_fullStr | Uniformly accelerating charged particles a threat to the equivalence principle Stephen Lyle |
| title_full_unstemmed | Uniformly accelerating charged particles a threat to the equivalence principle Stephen Lyle |
| title_short | Uniformly accelerating charged particles |
| title_sort | uniformly accelerating charged particles a threat to the equivalence principle |
| title_sub | a threat to the equivalence principle |
| topic | Geladenes Teilchen (DE-588)4121332-4 gnd Äquivalenzprinzip Physik (DE-588)4725028-8 gnd Teilchenbeschleunigung (DE-588)4184611-4 gnd |
| topic_facet | Geladenes Teilchen Äquivalenzprinzip Physik Teilchenbeschleunigung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016665331&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lylestephen uniformlyacceleratingchargedparticlesathreattotheequivalenceprinciple |