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Uniformly Accelerating Charged Particles A Threat to the Equivalence Principle

:	Stephen N. Lyle
:	Uniformly Accelerating Charged Particles A Threat to the Equivalence Principle
:	Springer-Verlag
:	9783540684770
:	1
:	CHF 131.60
:

:	Atomphysik, Kernphysik
:	English

:	361
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

This book examines the problems with the LD equation in flat spacetime and details its extension to curved spacetime. It compares different equivalence principles as well as vindicates some.

www.stephenlyle.org

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	Preface	7
	Contents	11
	Acronyms	14
	A Doubt about the Equivalence Principle	15
	From Minkowski Spacetime to General Relativity	19
	2.1 Semi-Euclidean Coordinate Systems	19
	2.2 The SE Metric for Uniform Acceleration Is the Only Static SE Metric	24
	2.3 The Step to General Relativity	29
	2.4 Weak Field Approximation	38
	2.5 Geodesic Principle	50
	Gravity as a Force in Special Relativity	61
	Applying the Strong Equivalence Principle	64
	The Debate Continues	71
	A More Detailed Radiation Calculation	78
	Defining the Radiation from a Uniformly Accelerating Charge	82
	Energy Conservation for a Uniformly Accelerated Charge	87
	The Threat to the Equivalence Principle According to Fulton and Rohrlich	93
	Different Predictions of Special Relativity and General Relativity	98
	10.1 Four Cases for Special Relativity	98
	10.2 Four Cases for General Relativity	99
	10.3 Conclusion	100
	Derivation of the Lorentz Dirac Equation	102
	11.1 Parrott s Derivation	102
	11.2 Dirac s Derivation	110
	11.3 Conclusion	113
	11.4 Self-Force Calculation	114
	Extending the Lorentz Dirac Equation to Curved Spacetime	116
	12.1 Equation of Motion of a Charged Particle	116
	12.2 The Equivalence Principle in All This	121
	12.3 Conclusions	134
	Static Charge in a Static Spacetime	136
	A Radiation Detector	146
	14.1 Equivalence Principle According to Mould	146
	14.2 Construction of the Detector and Calculations in General Coordinates	153
	14.3 Detecting Radiation Where There Is None	162
	14.4 Conclusion	164
	The Definitive Mathematical Analysis	166
	15.1 Static Gravitational Field	169
	15.2 Relation with Minkowski Spacetime	172
	15.3 What the Uniformly Accelerated Observer Sees	176
	15.4 Coordinate Singularity in the SE Metric	181
	15.5 Some Semi-Euclidean Geometry	183
	15.6 Redshift in a Uniformly Accelerating SE Frame	188
	15.7 Interpreting Semi-Euclidean Coordinates	195
	15.8 Accelerations	197
	15.9 Fields of a Uniformly Accelerated Charge	205
	15.9.1 Obtaining the Vector Potential	205
	15.9.2 Obtaining the Electromagnetic Fields	213
	15.9.3 Electromagnetic Fields on the Null Surface z + t = 0	215
	15.9.4 Fixing up the Fields on the Null Surface	221
	15.10 Origin of the Delta Function in the Field	226
	15.11 Conclusions Regarding the Fields	238
	15.11.1 Fields in Region I	238
	15.11.2 Fields Along Forward Light Cone of Point on Worldline	241
	15.11.3 Equivalence of Advanced and Retarded Fields	243
	15.11.4 Comparing Radiated and Coulomb Fields in Region I	245
	15.11.5 Situation in Region II	250
	15.12 Stress Energy Tensor	254
	15.12.1 Stress Energy Tensor in Accelerating Frame	255
	15.12.2 Energy Flux	256
	15.12.3 Boulware s Conclusion about Energy Flow	261
	15.13 General Conclusions	261
	Interpretation of Physical Quantities in General Relativity	264
	16.1 Definition of Energy	266
	16.2 Lorentz Boost Killing Vector Field in Minkowski Spacetime	267
	16.3 Killing Vector Field for Static Spacetime	270
	16.4 Killing Vector Fields for Schwarzschild Spacetime	271
	16.5 Another Metric	276
	16.6 And Another Metric	278
	16.7 Rindler or Elevator Coordinates	279
	16.8 The Problem with the Poynting Vector	283
	16.9 Schwarzschild Spacetime Revisited	291
	16.10 Antithesis of the Present View	293
	Charged Rocket	298
	17.1 Preamble	298
	17.2 Calculation	307
	17.3 Conclusion	314
	Summary	316
	Conclusion	351
	References	356
	Index	358