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Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field
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ISBN: 1848160186 9781848160187 1860942342 9781860942341 0070099863 9780070099869 Year: 2000 Publisher: London : Singapore ; River Edge, NJ : Imperial College Press ; Distributed by World Scientific Pub. Co.,

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Abstract

This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory.There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups

Cosmological special relativity : the large scale structure of space, time and velocity
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ISBN: 1281929735 9786611929732 9812777555 9789812777553 9810249365 9789810249366 9781281929730 Year: 2002 Publisher: River Edge, N.J. : World Scientific,

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This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological g

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