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Einstein in Matrix Form

Günter Ludyk
Publisher: 
Springer
Publication Date: 
2013
Number of Pages: 
194
Format: 
Hardcover
Series: 
Graduate Texts in Physics
Price: 
89.95
ISBN: 
9783642357978
Category: 
Monograph
We do not plan to review this book.

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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