Flat and curved space-times
著者
書誌事項
Flat and curved space-times
Clarendon Press , Oxford University Press, 1988
- : hard
- : pbk
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注記
Includes index
内容説明・目次
- 巻冊次
-
: hard ISBN 9780198511649
内容説明
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.
- 巻冊次
-
: pbk ISBN 9780198511694
内容説明
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.
目次
- Space-time diagrams and the foundations of special relativity
- Fundamentals of measurement
- Measurements in flat space-times
- The Lorentz transformation and the invariant interval
- Curved space-times
- Spherical stars and stellar collapse
- Simple cosmological models
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