Probing the Universe: A Geometrical View for Observers of Spacetime Physics
This book provides a fresh perspective on the relationships between gravitation, electrodynamics, and quantum physics. Designed for graduate students and postdoctoral researchers with a background in mathematical physics, it organizes key ideas into a series of paradigms inspired by the history of s...
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| Główni autorzy: | , |
|---|---|
| Korporacja: | |
| Format: | Elektroniczne E-book |
| Język: | angielski |
| Wydane: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Wydanie: | 1st ed. 2025. |
| Seria: | Fundamental Theories of Physics,
222 |
| Hasła przedmiotowe: | |
| Dostęp online: | https://doi.org/10.1007/978-3-031-96452-7 |
| Etykiety: |
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Spis treści:
- 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.