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| Foreword | |
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| Special Relativity | |
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| Introduction: inertial systems and Galilei invariance | |
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| Light propagation and Lorenz transformations | |
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| Our world as a Minkowski space | |
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| Mechanics of special relativity | |
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| Optics of plane waves | |
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| Four-dimensional vectors and tensors | |
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| Electrodynamics in vacuo | |
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| Transformation properties of electromagnetic fields: examples | |
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| Null vectors and algebraic properties of electromagnetic fields | |
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| Charged point particles and their field | |
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| Pole-dipole particles and their field | |
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| Electrodynamics in media | |
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| Perfect fluids and other physical theories | |
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| Riemannian Geometry | |
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| The force-free motion of particles | |
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| Why Riemannian geometry? | |
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| Riemannian space | |
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| Tensor algebra | |
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| The covariant derivative and parallel transport | |
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| The curvature tensor | |
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| Differential operators, integrals and integral laws | |
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| Fundamental laws of physics in Riemannian spaces | |
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| Foundations of Einstein's Theory of Gravitation | |
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| The fundamental equations of Einstein's theory of gravitation | |
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| The Schwarzschild solution | |
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| Experiments to verify the Schwarzschild metric | |
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| Gravitational lenses | |
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| The interior Schwarzschild solution | |
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| Linearized Theory of Gravitation, Far Fields and Gravitational Waves | |
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| The linearized Einstein theory of gravity | |
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| Far fields and balance equations | |
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| Gravitational waves | |
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| The Cauchy problem for the Einstein field equations | |
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| Invariant Characterization of Exact Solutions | |
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| Preferred vector fields and their properties | |
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| The Petrov classification | |
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| Killing vectors and groups of motion | |
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| A survey of some selected classes of exact solutions | |
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| Gravitational Collapse and Black Holes | |
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| The Schwarzschild singularity | |
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| Gravitational collapse of spherically-symmetric stars | |
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| Rotating black holes | |
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| Black holes are not black | |
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| The conformal structure of infinity | |
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| Cosmology | |
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| Robertson-Walker metrics and their properties | |
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| The dynamics of R-W metrics and the Friedmann universes | |
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| Our Universe as a Friedmann model | |
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| General cosmological models | |
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| Bibliography | |
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| Index | |