An explanation of special relativity and the foundations of general relativity theory from a geometric viewpoint. Space-time geometry is emphasized throughout, and provides the basis of understanding of the Special Relativity effects of time-dilation, length contraction, and the relativity of simultaneity. Bondi's k-calculus is introduced as a simple means of calculating the magnitudes of these effects, and leads to a derivation of the Lorentz Transformation as a way of unifying these results. The Invariant interval of flat space-time is generalized to that of curved space-times, and leads to an understanding of the basic properties of simple cosmological models and of the collapse of a star to form a black hole. Appendices enable the advanced student to master the application of 4 tensors to the relativistic study of energy and momentum, and of electromagnetism.
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" G.Ellis and R. Williams two seasoned and wellknown Relativists, have done a super job in suceeding to present " just the facts" and at the same time make their book a pleasure to read, even for motivated, non-experts" (European Astronomical Society Newsletter)
G.F.R. Ellis, Professor of Mathematics, University of Cape Town, South Africa. R.M. Williams, Assistant Director of Research, Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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