# General Relativity: An Introduction for Physicists (Google eBook)

Cambridge University Press, Feb 2, 2006 - Science
General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.

### What people are saying -Write a review

#### User ratings

5 stars
 4
4 stars
 0
3 stars
 1
2 stars
 0
1 star
 0

User Review - Flag as inappropriate

### Contents

 Section 1 12 Section 2 26 Section 3 53 Section 4 92 Section 5 111 Section 6 135 Section 7 147 Section 8 150
 Section 13 273 Section 14 288 Section 15 310 Section 16 346 Section 17 347 Section 18 355 Section 19 386 Section 20 428

 Section 9 176 Section 10 196 Section 11 230 Section 12 248
 Section 21 441 Section 22 467 Section 23 498 Section 24 524

### Popular passages

Page 23 - For if the magnet is in motion and the conductor at rest, there arises in the neighbourhood of the magnet an electric field with a certain definite energy, producing a current at the places where parts of the conductor are situated. But if the magnet is stationary and the conductor in motion, no electric field arises in the neighbourhood of the magnet. In the conductor, however, we find an electromotive force, to which in itself there is no corresponding energy, but which gives rise — assuming...
Page 23 - ... draws a sharp distinction between the two cases in which either the one or the other of these bodies is in motion. For if the magnet is in motion and the conductor at rest, there arises in the neighborhood of the magnet an electric field with a certain definite energy, producing a current at the places where parts of the conductor are situated. But if the magnet is stationary and the conductor in motion, no electric field arises in the neighborhood of the magnet. In the conductor, however...
Page 23 - It is known that Maxwell's electrodynamics — as usually understood at the present time — when applied to moving bodies, leads to assymmetries which do not appear to be inherent in the phenomena. Take for example the reciprocal electrodynamic action of a magnet and a conductor. The observable phenomenon here depends only on the relative motion of the conductor and the magnet ; whereas the customary view draws a sharp distinction...