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Einstein in Matrix Form: Exact Derivation of the Theory of Special and General Relativity without Tensors - Softcover

 
9783642357992: Einstein in Matrix Form: Exact Derivation of the Theory of Special and General Relativity without Tensors

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Synopsis

Special Relativity.- The Galilei Transformation.- The Lorentz Transformation.- The Invariance of Quadratic Forms.- Velocity Addition.- Lorentz Transformation of Velocities.- Lorentz Transformation of Impulses.- Acceleration and Force.- Relativistic Electrodynamics.- Energy Momentum Matrix.- General Relativity.- General Relativity and Riemannian Geometry.- Some Mathematics: Derivation of a function, vector, and matrix with respect to time.- Motion in a Gravity Field.- Geodesic Path.- Exampel: Rotating System.- General Transformations of Coordinates.- Some Differential Geometry.- Parallel Displacement.- Riemannian Curvature Matrix.- Properties of the Riemannian Curvature Matrix.- The Ricci Matrix and its Properties.- General Theory of Gravitation.- Summary.- Hilbert Functional.- Gravitation of a Spherical Body.- Schwarzschild Solution.- The Influence of a Body upon its Vicinity.- The Interior Schwarzschild Solution.- Black Holes.- Rotating Masses.

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  • PublisherSpringer
  • Publication date2013
  • ISBN 10 3642357997
  • ISBN 13 9783642357992
  • BindingPaperback
  • LanguageEnglish

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9783642357978: Einstein in Matrix Form: Exact Derivation of the Theory of Special and General Relativity without Tensors (Graduate Texts in Physics)

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ISBN 10:  3642357970 ISBN 13:  9783642357978
Publisher: Springer, 2013
Hardcover