Robin W. Tucker: Probing the Universe: A Geometrical View for Observers of Spacetime Physics, Gebunden

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Newtonian Gravitation and Maxwell s Theory of Electromagnetism.- Vector Spaces.- Topological and Differentiable Manifolds.- Fibre Bundles.- Basic Differential Geometry.- eneral Linear Connections Curvature and Torsion Tensors.- Metric Compatible Connections Isometries and Killing Tensor Fields.- Intrinsic and Extrinsic Curvatures and Lagrangian Charts.- A Modern View of the Newtonian Paradigm.- Assigning Coherent Physical Dimensions and Units to Elements in Spacetime.- The Exponential Map and Geodesic Normal Coordinates.- Clocks and Observer Fields in Einsteinian Spacetimes.- Spacetime Projectors and Relativistic Energy Momentum.- Spacetime Reference Frame Fields and Their Neighbours.- Gibbs Differential Calculus via Exterior Differential Forms.- Split Structures for Electromagnetic Fields and Gauge Covariances.- The General Frenet Serret Equations on a Manifold.- Spacetime Chronology and Radar Coordinates.- Variational Methods on n Dimensional Manifolds.- Properties of the Maxwell Stress Energy Momentum Tensor in Spacetime.- Killing Conservation Laws and Killing Drive Forms.- The Ideal Perfect Thermodynamic Fluid in a Background Spacetime Metric.- The Non Thermodynamic Self Gravitating Perfect Fluid in a Dynamic Einstein de Sitter Metric.- Source-Free Maxwell Fields in Minkowski and Einstein de Sitter Spacetime and Einstein de Sitter Timelike Geodesics.- Displaying Spacetime Curves.- Tracking Particles and the Ubiquitous Photon.- The Historic Development of the Einstein Minkowski Spacetime Paradigm.- Instantaneous Multi Particle Collisions in Spacetimes.- Spherically Symmetric Black Holes in Einstein s Theory with the Levi Civita Connection.- Axially Symmetric Black Holes in Einsteins Theory with the Levi Civita Connection.- An Interpretation of Tidal Strains from the Einstein Minkowski Paradigm.- The Oppenheimer Schiff Debate.- Applications of Chiral Pulse Models in Physics.- An Introduction to Classical Analytical Dynamics.- Spectral Shifts.