Flat and Curved Space-Times - Couverture souple

Ellis, George

 
9780198511694: Flat and Curved Space-Times

Synopsis

An explanation of special relativity and the foundations of general relativity theory from a geometric viewpoint. Space-time geometry is emphasised 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 generalised 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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Présentation de l'éditeur

The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised 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 generalised 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. The appendices enable the advanced student to master the application of four-tensors to the relativistic study of energy and momentum, and of electromagnetism. In addition, this new edition contains up-to-date information on black holes, gravitational collapse, and cosmology.

Revue de presse

" 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)

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