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The present book explains special relativity and the basics of general relativity 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 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.
This text investigates the geometric foundations of special and general relativity to provide a rigorous framework for understanding space-time dynamics. George F. R. Ellis and R. M. Williams utilize their extensive expertise in theoretical physics to synthesize complex relativistic concepts into a coherent pedagogical structure. By prioritizing geometric interpretation over purely algebraic derivation, the authors guide the reader through the transition from flat space-time models to the curved geometries required for modern cosmology and gravitational theory.
What You Will Find
Experts and academic reviewers recognize this work as a foundational text for students transitioning into advanced relativistic studies. Readers frequently note the clarity of the geometric approach, which serves as a bridge between introductory physics and more dense, tensor-heavy graduate literature.
Page Count:
392
Publication Date:
2001-01-11
Publisher:
Oxford University Press
ISBN-10:
0198506570
ISBN-13:
9780198506577
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