Hamburg

I The Worldview of Gravitation before Einstein -- 1 Kepler’s Laws -- 2 Laws of Falling -- 3 Newton’s Laws -- 4 Work and Energy -- 5 Rotations -- 6 Newton’s Law of Gravitation -- 7 Literature References and Further Reading for Part I -- II Vector and Tensor Calculus in the Euclidean Plane -- 8 Vector Calculus in the Euclidean Plane -- 9 Tensor Calculus in the Euclidean Plane -- 10 The Inertia Tensor -- 11 Literature References and Further Reading for Part II -- III Special Theory of Relativity -- 12 Principle of Relativity -- 13 The Geometry of Spacetime -- 14 Vector Calculus in Special Relativity Theory -- 15 Tensor Calculus in Special Relativity Theory -- 16 Energy-Momentum Tensors in Special Relativity -- 17 Literature References and Further Information on Part III -- IV Fundamentals of General Relativity -- 18 Gravitation and Spacetime Model -- 19 The Mathematical Foundations of Curved Spacetime -- 20 Motion in the Gravitational Field, Geodesic Equation -- 21 Curvature in Riemannian Space -- 22 Riemannian Space and Einstein Equations -- 23 Static Spherical Gravitational Fields -- 24 Literature References and Further Reading on Part IV -- V Application of the General Theory of Relativity to Selected Cosmological Phenomena -- 25 Gravitational Waves -- 26 Gravitational Collapse and the Interior Schwarzschild Metric -- 27 Black Holes -- 28 Literature References and Further Reading on Part V -- VI Appendix: Formulas and Tables -- 29 Functions, Formulas and Physical Laws -- 30 Units and Constants -- Bibliography -- Index