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Titlebook: Einstein in Matrix Form; Exact Derivation of Günter Ludyk Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 Black Holes.Galilei Transfo

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978-3-642-43906-3Springer-Verlag Berlin Heidelberg 2013
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Günter LudykDerives the fundamental equations of Einstein‘s theory of special and general relativity using matrix calculus, without the help of tensors.Provides necessary mathematical tools in a user-friendly way
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,Schöne neue Welt – Nicht ironisch gemeint!,ence of a mass in time and space and the redshift of the spectral lines are given. This gives also a first indication of the existence of “black holes”. Finally, a brief look at the effect of rotating masses and on the Lense–Thirring effect is taken.
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Special Relativity,tein in 1905, leads to the four-dimensional spacetime of Minkowski and the Lorentz transformation. After that the relativity of simultaneity of events, the length contraction of moving bodies and the time dilation are discussed. This is followed by the velocity-addition formula and relativistic mech
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Theory of General Relativity,n geodesic lines in a gravitational field is considered. The general transformation of coordinates leads to the Christoffel matrix and the Riemannian curvature matrix. With the help of the Ricci matrix the Theory of General Relativity of Einstein can then be formulated.
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