Gravity: an introduction to Einstein's general relativity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
San Francisco ; Munich [u.a.]
Addison-Wesley
[20]09
|
| Ausgabe: | [Nachdr.] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXII, 582 S. Ill., graph. Darst., Kt. |
| ISBN: | 0805386629 |
Internformat
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| 100 | 1 | |a Hartle, James B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Gravity |b an introduction to Einstein's general relativity |c James B. Hartle |
| 250 | |a [Nachdr.] | ||
| 264 | 1 | |a San Francisco ; Munich [u.a.] |b Addison-Wesley |c [20]09 | |
| 300 | |a XXII, 582 S. |b Ill., graph. Darst., Kt. | ||
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Datensatz im Suchindex
| _version_ | 1804141175026745344 |
|---|---|
| adam_text | Contents
Preface
xv
PART I
■
SPACE AND TIME IN NEWTONIAN
PHYSICS AND SPECIAL RELATIVITY
1
1 ■
Gravitational Physics
3
2 ■
Geometry as Physics
13
2.1
Gravity Is Geometry
13
2.2
Experiments in Geometry
15
2.3
Different Geometries
18
2.4
Specifying Geometry
20
2.5
Coordinates and Line Element
21
2.6
Coordinates and
Invariance
27
3 ■
Space, Time, and Gravity in
Newtonian Physics
31
3.1
Inerţial
Frames
31
3.2
The Principle of Relativity
36
3.3
Newtonian Gravity
38
3.4
Gravitational and
Inerţial
Mass
41
3.5
Variational Principle for Newtonian Mechanics
42
4 ■
Principles of Special Relativity
47
4.1
The Addition of Velocities and the Michelson—Morley
Experiment
47
4.2
Einstein s Resolution and Its Consequences
49
4.3
Spacetime
52
4.4
Time Dilation and the Twin Paradox
60
4.5
Lorentz
Boosts
65
4.6
Units
71
VII
viii Contents
5 ■
Special Relativistic
Mechanics
77
5.1
Four-Vectors
77
5.2
Special Relativistic Kinematics
82
5.3
Special Relativistic Dynamics
85
5.4
Variational Principle for Free Particle Motion
89
5.5
Light Rays
91
5.6
Observers and Observations
95
PART II
■
THE CURVED
SPACETIMES
OF GENERAL RELATIVITY
105
6 ■
Gravity as Geometry
107
6.1
Testing the Equality of Gravitational and
Inerţial
Mass
107
6.2
The Equivalence Principle
110
6.3
Clocks in a Gravitational Field
113
6.4
The Global Positioning System
121
6.5
Spacetime Is Curved
125
6.6
Newtonian Gravity in Spacetime Terms
126
7 ■
The Description of Curved Spacetime
135
7.1
Coordinates
135
7.2
Metric
138
7.3
The Summation Convention
138
7.4
Local
Inerţial
Frames
140
7.5
Light Cones and World Lines
142
7.6
Length, Area, Volume, and Four-Volume for Diagonal
Metrics
146
7.7
Embedding Diagrams and
Wormholes
148
7.8
Vectors in Curved Spacetime
152
7.9
Three-Dimensional Surfaces in Four-Dimensional
Spacetime
158
8 ■
Geodesies
169
8.1
The Geodesic Equation
169
8.2
Solving the Geodesic Equation
—
Symmetries and
Conservation Laws
175
8.3
Null Geodesies
178
8.4
Local Inertia! Frames and Freely Falling Frames
179
Contents ix
9 ■
The Geometry Outside a Spherical Star
186
9.1 Schwarzschild
Geometry
186
9.2
The Gravitational Redshift
189
9.3
Particle Orbits
—
Precession of the Perihelion
191
9.4
Light Ray Orbits—The Deflection and Time Delay of
Light
204
10 ■
Solar System Tests of General Relativity
219
10.1
Gravitational Redshift
219
10.2
PPN Parameters
221
10.3
Measurements of the PPN Parameter
γ
223
10.4
Measurement of the PPN Parameter
β
—
Precession of
Mercury s Perihelion
230
11 ■
Relativistic Gravity in Action
234
11.1
Gravitational Lensing
234
11.2
Accretion Disks Around Compact Objects
244
11.3
Binary Pulsars
250
12 ■
Gravitational Collapse and Black Holes
255
12.1
The
Schwarzschild
Black Hole
256
12.2
Collapse to a Black Hole
262
12.3
Kruskal-Szekeres Coordinates
269
12.4
Nonspherical Gravitational Collapse
275
13 ■
Astrophysical Black Holes
281
13.1
Black Holes in
Х
-Ray Binaries
282
13.2
Black Holes in Galaxy Centers
285
13.3
Quantum Evaporation of Black Holes
—
Hawking
Radiation
289
14 ■
A Little Rotation
296
14.1
Rotational Dragging of
Inerţial
Frames
296
14.2
Gyroscopes in Curved Spacetime
297
14.3
Geodetic Precession
298
14.4
Spacetime Outside a Slowly Rotating Spherical
Body
302
14.5
Gyroscopes in the Spacetime of a Slowly Rotating
Body
303
14.6
Gyros and Freely Falling Frames
308
Contents
15 ■
Rotating
Black
Holes
310
15.1
Cosmic Censorship
310
15.2
The Kerr Geometry
311
15.3
The Horizon of a Rotating Black Hole
313
15.4
Orbits in the Equatorial Plane
316
15.5
The Ergosphere
322
16 ■
Gravitational Waves
331
16.1
A Linearized Gravitational Wave
332
16.2
Detecting Gravitational Waves
333
16.3
Gravitational Wave Polarization
336
16.4
Gravitational Wave Interferometers
339
16.5
The Energy in Gravitational Waves
342
17 ■
The Universe Observed
347
17.1
The Composition of the Universe
347
17.2
The Expanding Universe
352
17.3
Mapping the Universe
360
18 ■
Cosmological Models
366
18.1
Homogeneous,
Isotropie Spacetimes 366
18.2
The Cosmological Redshift
368
18.3
Matter, Radiation, and Vacuum
372
18.4
Evolution of the Flat FRW Models
376
18.5
The Big Bang and Age and Size of the Universe
380
18.6
Spatially Curved Robertson-Walker Metrics
384
18.7
Dynamics of the Universe
387
19 ■
Which Universe and Why?
400
19.1
Surveying the Universe
402
19.2
Explaining the Universe
410
PART III
■
THE EINSTEIN EQUATION
417
20 ■
A Little More Math
419
20.1
Vectors
419
20.2
Dual Vectors
421
20.3
Tensors
427
20.4
The Covariant Derivative
430
20.5
Freely Falling Frames Again
440
Contents xi
21 ■
Curvature and the Einstein Equation
445
21.1
Tidal Gravitational Forces
445
21.2
Equation of Geodesic Deviation
450
21.3
Riemann Curvature
454
21.4
The Einstein Equation in Vacuum
456
21.5
Linearized Gravity
459
22 ■
The Source of Curvature
471
22.1
Densities
471
22.2
Conservation
478
22.2
Conservation of Energy-Momentum
478
22.3
The Einstein Equation
482
22.4
The Newtonian Limit
485
23 ■
Gravitational Wave Emission
491
23.1
The Linearized Einstein Equation with Sources
491
23.2
Solving the Wave Equation with a Source
493
23.3
The General Solution of Linearized Gravity
496
23.4
Production of Weak Gravitational Waves
498
23.5
Gravitational Radiation from Binary Stars
502
23.6
The Quadrapole Formula for the Energy Loss in
Gravitational Waves
506
23.7
Effects of Gravitational Radiation Detected in a Binary
Pulsar
508
23.8
Strong Source Expectations
510
24 ■
Relativistic Stars
515
24.1
The Power of the
Pauli
Principle
516
24.2
Relativistic Hydrostatic Equilibrium
520
24.3
Stellar Models
523
24.4
Matter in Its Ground State
524
24.5
Stability
528
24.6
Bounds on the Maximum Mass of Neutron Stars
535
APPENDIXES
A
■
Units
541
A.I Units in General
541
A.2 Units Employed in this Book
542
В
■
Curvature Quantities
545
xii Contents
С
■
Curvature
and the Einstein Equation
551
D
■
Pedagogical Strategy
557
D.I Pedagogical Principles
557
D.2 Organization
559
D.3 Constructing Courses
560
Bibliography
563
Index
569
|
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| spelling | Hartle, James B. Verfasser aut Gravity an introduction to Einstein's general relativity James B. Hartle [Nachdr.] San Francisco ; Munich [u.a.] Addison-Wesley [20]09 XXII, 582 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 s Gravitationstheorie (DE-588)4158117-9 s 1\p DE-604 DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018994338&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hartle, James B. Gravity an introduction to Einstein's general relativity Gravitationstheorie (DE-588)4158117-9 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4158117-9 (DE-588)4112491-1 |
| title | Gravity an introduction to Einstein's general relativity |
| title_auth | Gravity an introduction to Einstein's general relativity |
| title_exact_search | Gravity an introduction to Einstein's general relativity |
| title_full | Gravity an introduction to Einstein's general relativity James B. Hartle |
| title_fullStr | Gravity an introduction to Einstein's general relativity James B. Hartle |
| title_full_unstemmed | Gravity an introduction to Einstein's general relativity James B. Hartle |
| title_short | Gravity |
| title_sort | gravity an introduction to einstein s general relativity |
| title_sub | an introduction to Einstein's general relativity |
| topic | Gravitationstheorie (DE-588)4158117-9 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Gravitationstheorie Allgemeine Relativitätstheorie |
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