Basic relativity:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London
Springer
2002
|
| Edition: | 1. softcover printing |
| Series: | Springer study edition
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 452 S. graph. Darst. : 24 cm |
| ISBN: | 0387952101 |
Staff View
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| 100 | 1 | |a Mould, Richard A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Basic relativity |c Richard A. Mould |
| 250 | |a 1. softcover printing | ||
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London |b Springer |c 2002 | |
| 300 | |a XIV, 452 S. |b graph. Darst. : 24 cm | ||
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Record in the Search Index
| _version_ | 1808227032532779008 |
|---|---|
| adam_text |
CONTENTS
PREFACE
.
VII
PARTI
1.
PRINCIPLES
OF
RELATIVITY
.
3
1.1
GALILEO
'
S
PRINCIPLE
.
3
1.2
A
CENTURY
OF
ELECTRICITY
AND
MAGNETISM
.
5
1.3
MAXWELL
'
S
EQUATIONS
.
7
1.4
STELLAR
ABERRATION
.
8
1.5
THE
MICHELSON-MORLEY
EXPERIMENT
.
8
1.6
THE
TROUTON-NOBLE
EXPERIMENT
.
13
PROBLEMS
.
16
2.
THE
PHYSICAL
ARGUMENTS
.
18
2.1
PHYSICAL
IDEAS
.
18
2.2
SOME
APPLICATIONS
.
27
2.3
VELOCITY
ADDITION
.
35
2.4
THE
TWIN
PARADOX
.
37
2.5
THE
POLE
IN
THE
BARN
PARADOX
.
40
2.6
COORDINATE
FRAMES
OF
REFERENCE
.
42
PROBLEMS
.
44
3.
THE
ALGEBRAIC
AND
GRAPHIC
ARGUMENTS
.
48
3.1
THE
LORENTZ
TRANSFORMATION
.
48
3.2
OTHER
APPLICATIONS
.
51
3.3
VELOCITY
ADDITION
.
55
3.4
THE
INVARIANT
INTERVAL
.
57
3.5
THE
MINKOWSKI
DIAGRAM
.
61
3.6
USE
OF
THE
MINKOWSKI
DIAGRAM
.
66
3.7
FOUR-VECTORS
.
71
3.8
VELOCITY
AND
ACCELERATION
FOUR-VECTORS
.
72
3.9
THE
PROPAGATION
FOUR-VECTOR
.
75
3.10
DOPPLER
EFFECT
.
78
3.11
EXPERIMENTAL
EVIDENCE
-
KINEMATICS
.
81
PROBLEMS
.
84
4.
MATHEMATICAL
TOOLS
.
91
4.1
MATRICES
.
91
4.2
THE
LORENTZ
TRANSFORMATION
.
98
4.3
VECTOR
OPERATORS
.
100
4.4
TENSORS
.
103
XII
CONTENTS
4.5
THE
METRIC
INEQUALITY
.
107
SUMMARY
.
109
PROBLEMS
.
110
5.
DYNAMICS
.
113
5.1
THE
PHYSICAL
ASSUMPTIONS
.
114
5.2
THE
EULER-LAGRANGE
FORMALISM
.
121
5.3
THE
MOMENTUM
FOUR-VECTOR
.
125
5.4
THE
FOUR-FORCE
.
127
5.5
TORQUE
.
134
5.6
COLLISIONS
.
136
5.7
EXPERIMENTAL
EVIDENCE
-
DYNAMICS
.
142
PROBLEMS
.
144
6.
ELECTROMAGNETIC
THEORY
.
.
.
148
6.1
ELECTRIC
AND
MAGNETIC
FIELDS
.
148
6.2
LORENTZ
FORCE
.
153
6.3
MOVING
MAGNET
PROBLEM
.
157
6.4
TROUTON-NOBLE
EXPERIMENT
.
161
6.5
MAXWELL
'
S
EQUATIONS
.
163
6.6
ELECTROMAGNETIC
POTENTIALS
.
166
6.7
ENERGY-MOMENTUM
TENSOR
.
168
PROBLEMS
.
170
PART
II
7.
DIFFERENTIAL
GEOMETRY
I
.
177
7.1
THE
SCALAR
INVARIANT
.
177
7.2
THE
METRIC
TENSOR
.
178
7.3
VECTORS
.
181
7.4
THE
RECTILINEAR
CASE
.
183
7.5
THE
POLAR
CASE
.
185
7.6
CONTRAVARIANT
METRIC
TENSOR
.
190
7.7
TENSORS
.
191
SUMMARY
OF
TENSOR
ALGEBRA
.
195
7.8
PARALLEL
DISPLACEMENT
.
196
7.9
THE
GEODESIC
PATH
.
204
7.10
PARALLEL
DISPLACEMENT
OF
COVARIANT
VECTORS
.
208
7.11
COVARIANT
DERIVATIVES
.
209
7.12
SPACE-TIME
DIFFERENTIAL
GEOMETRY
.
213
SUMMARY
OF
FOUR-VECTORS
.
217
PROBLEMS
.
218
8.
UNIFORM
ACCELERATION
.
221
8.1
NONRIGID
BODIES
.
221
8.2
ACCELERATING
A
POINT
MASS
.
224
CONTENTS
XIII
8.3
A
UNIFORMLY
ACCELERATED
FRAME
.
228
8.4
UNIFORMLY
ACCELERATED
COORDINATES
.
231
8.5
THE
MATTER
OF
METRIC
.
232
SUMMARY
OF
METRIC
RELATIONSHIPS
.
234
8.6
KINEMATIC
CHARACTERISTICS
OF
THE
SYSTEM
.
235
8.7
FALLING
BODIES
.
241
8.8 GEODESIC
PATHS
.
244
8.9
FALLING
CLOCKS
.
249
8.10
A
SUPPORTED
OBJECT
.
252
8.11
LOCAL
COORDINATES
.
253
SUMMARY
OF
KINEMATIC
RELATIONSHIPS
.
256
8.12
DYNAMICS
.
257
8.13
GRAVITATIONAL
FORCE
AND
CONSTANTS
OF
MOTION
.
261
PROBLEMS
.
265
9.
ROTATION
AND
THE
ELECTROMAGNETIC
FIELD
.
269
9.1
THE
ROTATION
TRANSFORMATION
.
269
9.2
PHYSICAL
INTERPRETATION
.
271
9.3
THE
GEODESIC
EQUATION
.
273
9.4
DYNAMICS
.
274
9.5
GENERAL
ELECTROMAGNETIC
FIELDS
.
278
9.6
NONGEODESIC
PATHS
.
281
9.7
GENERALLY
COVARIANT
FIELD
EQUATIONS
.
283
PROBLEMS
.
284
10.
THE
MATERIAL
MEDIUM
.
287
10.1
THE
ENERGY-MOMENTUM
TENSOR
.
287
10.2
DUST
PARTICLES
.
288
10.3
IDEAL
GAS
.
290
10.4
INTERNAL
FORCES
.
290
10.5
THE
TOTAL
TENSOR
.
295
PROBLEMS
.
296
11.
DIFFERENTIAL
GEOMETRY
II:
CURVED
SURFACES
.
298
11.1
A
SPHERICAL
SURFACE
.
298
11.2
A
CURVATURE
CRITERION
.
304
11.3
CURVATURE
TENSOR
ON
A
SPHERE
.
306
11.4
RICCI
TENSOR
AND
THE
SCALAR
CURVATURE
.
307
PROBLEMS
.
309
12.
GENERAL
RELATIVITY
.
312
12.1
THE
PRINCIPLE
OF
EQUIVALENCE
.
313
12.2
EINSTEIN
'
S
FIELD
EQUATION
.
315
12.3
EVALUATION
OF
THE
CONSTANT
.
318
12.4
THE
SCHWARZSCHILD
SOLUTION
.
321
12.5
KINEMATIC
CHARACTERISTICS
OF
THE
FIELD
.
324
XIV
CONTENTS
12.6
FALLING
BODIES
.
328
12.7
FOUR-VELOCITY.
.
330
12.8
DYNAMICS
.
330
12.9
THEORY
AS
CONSTRUCT
.
338
12.10
THREE
TESTS
OF
GENERAL
RELATIVITY
.
339
12.11
NEW
TESTS
AND
CHALLENGES
.
344
PROBLEMS
.
346
13.
ASTROPHYSICS
.
349
13.1
COMPACT
OBJECTS
.
349
13.2
BLACK
HOLES
.
351
13.3
ROTATING
BLACK
HOLES
.
358
13.4
EVIDENCE
FOR
COMPACT
OBJECTS
.
368
13.5
GRAVITY
WAVES
.
377
PROBLEMS
.
388
14.
COSMOLOGY
.
392
14.1
THE
COSMOLOGICAL
PRINCIPLE
.
392
14.2
THE
COSMOLOGICAL
CONSTANT
.
393
14.3
THREE-DIMENSIONAL
HYPERSURFACE
.
394
14.4
GENERAL
SOLUTION
OF
THE
FIELD
EQUATION
.
398
14.5
EINSTEIN
AND
DE
SITTER
SOLUTIONS
.
400
14.6
THE
MATTER-DOMINATED
UNIVERSE
.
402
14.7
CRITICAL
MASS
.
405
14.8
MEASURING
A
FLAT,
MATTER-DOMINATED
UNIVERSE
.
407
14.9
THE
INFLATIONARY
UNIVERSE
.
416
PROBLEMS
.
423
APPENDIXES
A.
THE
LORENTZ
TRANSFORMATION
.
425
B.
CALCULUS
OF
VARIATIONS
.
427
C.
THE
GEODESIC
EQUATIONS
.
430
D.
THE
GEODESIC
EQUATION
IN
COORDINATE
FORM
.
431
E.
UNIFORMLY
ACCELERATED
TRANSFORMATION
EQUATIONS
.
432
F.
THE
RIEMANN-CHRISTOFFEL
CURVATURE
TENSOR
.
434
G.
TRANSFORMATION
TO
THE
TANGENT
PLANE
.
436
H.
GENERAL
LORENTZ
TRANSFORMATION
AND
THE
STRESS
TENSOR
.
438
ANSWERS
TO
SELECTED
PROBLEMS
.
439
REFERENCES
.
443
INDEX
.
445 |
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| id | DE-604.BV014087564 |
| illustrated | Illustrated |
| indexdate | 2024-08-24T00:34:37Z |
| institution | BVB |
| isbn | 0387952101 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009650030 |
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| open_access_boolean | |
| owner | DE-898 DE-BY-UBR DE-706 |
| owner_facet | DE-898 DE-BY-UBR DE-706 |
| physical | XIV, 452 S. graph. Darst. : 24 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer study edition |
| spelling | Mould, Richard A. Verfasser aut Basic relativity Richard A. Mould 1. softcover printing New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London Springer 2002 XIV, 452 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Springer study edition Relativity (Physics) Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Relativitätstheorie (DE-588)4049363-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009650030&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mould, Richard A. Basic relativity Relativity (Physics) Relativitätstheorie (DE-588)4049363-5 gnd |
| subject_GND | (DE-588)4049363-5 (DE-588)4151278-9 (DE-588)4123623-3 |
| title | Basic relativity |
| title_auth | Basic relativity |
| title_exact_search | Basic relativity |
| title_full | Basic relativity Richard A. Mould |
| title_fullStr | Basic relativity Richard A. Mould |
| title_full_unstemmed | Basic relativity Richard A. Mould |
| title_short | Basic relativity |
| title_sort | basic relativity |
| topic | Relativity (Physics) Relativitätstheorie (DE-588)4049363-5 gnd |
| topic_facet | Relativity (Physics) Relativitätstheorie Einführung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009650030&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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