Flat and Curved Space-times

by George Ellis and Ruth M. Williams

Ruth M. Williams

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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.
  • ISBN10 0198511647
  • ISBN13 9780198511649
  • Publish Date 1 September 1988
  • Publish Status Out of Print
  • Out of Print 4 December 1992
  • Publish Country GB
  • Publisher Oxford University Press
  • Imprint Clarendon Press
  • Format Hardcover
  • Pages 360
  • Language English