Essential Relativity [E-Book] : Special, General, and Cosmological / by Wolfgang Rindler.
In retrospect, the first edition of this book now seems like a mere sketch for a book. The present version is, if not the final product, at least a closer approximation to it. The table of contents may show little change. But that is simply because the original organization of the material has been...
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Full text |
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Personal Name(s): | Rindler, Wolfgang, author |
Edition: |
Second Edition. |
Imprint: |
Berlin, Heidelberg :
Springer,
1977
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Physical Description: |
XV, 284 p. online resource. |
Note: |
englisch |
ISBN: |
9783642866500 |
DOI: |
10.1007/978-3-642-86650-0 |
Series Title: |
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Text and Monographs in Physics
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Subject (LOC): |
- 1 The Rise and Fall of Absolute Space
- 1.1 Definition of Relativity
- 1.2 Newton’s Laws
- 1.3 The Galilean Transformation
- 1.4 The Set of All Inertial Frames
- 1.5 Newtonian Relativity
- 1.6 Newton’s Absolute Space
- 1.7 Objections to Newton’s Absolute Space
- 1.8 Maxwell’s Ether
- 1.9 Where is Maxwell’s Ether?
- 1.10 Lorentz’s Ether Theory
- 1.11 The Relativity Principle
- 1.12 Arguments for the Relativity Principle
- 1.13 Maxwellian Relativity
- 1.14 Origins of General Relativity
- 1.15 Mach’s Principle
- 1.16 Consequences of Mach’s Principle
- 1.17 Cosmology
- 1.18 Inertial and Gravitational Mass
- 1.19 The Equivalence Principle
- 1.20 The Semistrong Equivalence Principle
- 1.21 Consequences of the Equivalence Principle
- 2 Einsteinian Kinematics
- 2.1 Basic Features of Special Relativity
- 2.2 On the Nature of Physical Laws
- 2.3 An Archetypal Relativistic Argument
- 2.4 The Relativity of Simultaneity
- 2.5 The Coordinate Lattice
- 2.6 The Lorentz Transformation
- 2.7 Properties of the Lorentz Transformation
- 2.8 Hyperbolic Forms of the Lorentz Transformation
- 2.9 Graphical Representation of the Lorentz Transformation
- 2.10 World-picture and World-map
- 2.11 Length Contraction
- 2.12 Length Contraction Paradoxes
- 2.13 Time Dilation
- 2.14 The Twin Paradox
- 2.15 Velocity Transformation
- 2.16 Proper Acceleration
- 2.17 Special Relativity without the Second Postulate
- 3 Einsteinian Optics
- 3.1 The Drag Effect
- 3.2 The Doppler Effect
- 3.3 Aberration and the Visual Appearance of Moving Objects
- 4 Spacetime and Four-Vectors
- 4.1 Spacetime
- 4.2 Three-Vectors
- 4.3 Four-Vectors
- 4.4 Four-Tensors
- 4.5 The Three-Dimensional Minkowski Diagram
- 4.6 Wave Motion
- 5 Relativistic Particle Mechanics
- 5.1 Domain of Sufficient Validity of Newton’s Laws
- 5.2 Why Gravity Does not Fit Naturally into Special Relativity
- 5.3 Relativistic Inertial Mass
- 5.4 Four-Vector Formulation of Relativistic Mechanics
- 5.5 A Note on Galilean Four-Vectors
- 5.6 Equivalence of Mass and Energy
- 5.7 The Center of Momentum Frame
- 5.8 Relativistic Billiards
- 5.9 Threshold Energies
- 5.10 Three-Force and Four-Force
- 5.11 De Broglie Waves
- 5.12 Photons. The Compton Effect
- 5.13 The Energy Tensor of Dust
- 6 Relativity and Electrodynamics
- 6.1 Transformation of the Field Vectors
- 6.2 Magnetic Deflection of Charged Particles
- 6.3 The Field of a Uniformly Moving Charge
- 6.4 The Field of an Infinite Straight Current
- 7 Basic Ideas of General Relativity
- 7.1 Curved Surfaces
- 7.2 Curved Spaces of Higher Dimensions
- 7.3 Riemannian Spaces
- 7.4 A Plan for General Relativity
- 7.5 The Gravitational Doppler Effect
- 7.6 Metric of Static Fields
- 7.7 Geodesics in Static Fields
- 8 Formal Development of General Relativity
- 8.1 Tensors in General Relativity
- 8.2 The Vacuum Field Equations of General Relativity
- 8.3 The Schwarzschild Solution
- 8.4 Rays and Orbits in Schwarzschild Space
- 8.5 The Schwarzschild Horizon, Gravitational Collapse, and Black Holes
- 8.6 Kruskal Space and the Uniform Acceleration Field
- 8.7 A General-Relativistic “Proof” of E = mc2
- 8.8 A Plane-Fronted Gravity Wave
- 8.9 The Laws of Physics in Curved Spacetime
- 8.10 The Field Equations in the Presence of Matter
- 8.11 From Modified Schwarzschild to de Sitter Space
- 8.12 The Linear Approximation to GR
- 9 Cosmology
- 9.1 The Basic Facts
- 9.2 Apparent Difficulties of Prerelativistic Cosmology
- 9.3 Cosmological Relativity: The Cosmological Principle
- 9.4 Milne’s Model
- 9.5 The Robertson-Walker Metric
- 9.6 Rubber Models, Red Shifts, and Horizons
- 9.7 Comparison with Observation
- 9.8 Cosmic Dynamics According to Pseudo-Newtonian Theory
- 9.9 Cosmic Dynamics According to General Relativity
- 9.10 The Friedmann Models
- 9.11 Once Again, Comparison with Observation
- 9.12 Mach’s Principle Reexamined
- Appendices
- Appendix I: Curvature Tensor Components for the Diagonal Metric
- Appendix II: How to “Invent” Maxwell’s Theory
- Exercises.