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Probing the Universe: A Geometrical View for Observers of Spacetime Physics

by Robin W. Tucker , Timothy J. Walton
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Current price ₹16,012.00
Original price ₹24,633.00
Original price ₹24,633.00
Original price ₹24,633.00
(-35%)
₹16,012.00
Current price ₹16,012.00

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Book cover type: Hardcover
  • ISBN13: 9783031964510
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 858
  • Original Price: EUR 217.99
  • Language: English
  • Edition: N/A
  • Item Weight: 1420 grams
  • BISAC Subject(s): Physics / Relativity

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.

Robin W. Tucker earned his degrees at the University of Cambridge and has been at Lancaster University since 1971, where he is now Emeritus Professor of Mathematical Physics. He co-founded the Cockcroft Institute of Accelerator Science and has worked at Daresbury Nuclear Physics Laboratory, CERN, and numerous universities worldwide. With over 350 publications, his research spans elementary particle physics, continuum mechanics, electromagnetic modeling, and gravitation theories. Prof. Tucker is a Fellow of the Institute of Physics and a Member of the London Mathematical Society.

Timothy J. Walton received his degrees in mathematical physics from Lancaster University and has been a Mathematics Lecturer since 2014. Currently he is a Senior Lecturer in Applied Mathematics at the Jeremiah Horrocks Institute, University of Lancashire. His research applies modern differential geometry to classical and quantum electrodynamics, continuum mechanics, and relativistic astrophysics. Dr. Walton is a member of the Event Horizon Telescope (EHT) Collaboration, the Institute of Physics, and the London Mathematical Society.

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