By James Foster, J. D. Nightingale
This textbook offers a good creation to an issue that's tremendous effortless to get slowed down in. I took a one semester path that used this article as an undergraduate, in which i assumed the booklet used to be simply respectable, yet then whilst I took a gradute direction that used Carroll's Spacetime and Geometry is while i actually got here to understand the coaching this e-book gave me (not that Carroll's booklet is undesirable, I simply would not suggest it for a primary reading). let alone the e-book is beautiful reasonable so far as physics texts move.
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Extra info for A Short Course in General Relativity
See Jong-Ping Hsu, Einstein’s Relativity and Beyond-New Symmetry i€ppraaches (World Scientific, 2000) Ch. 21.  J. P. Hsu and L. Hsu, papers D and E in Chapter 5 of this volume. The Wu transformation is named to honor Ta-You Wu’s idea of a kinematic approach t o finding an accelerated transformation within the framework of spacetime with a vanishing Riemann curvature tensor. The time w in the Wu transformation (4)can be synchronized by a set of computerized clocks. See, J . P. Hsu, ref. 35, pp.
It may happen that two systems of bodies create equivalent electromagnetic fields, in the sense of exerting the same action upon electrified bodies and currents, while at the same time these two systems do not exert the same gravitational action upon Newtonian masses. The gravitational field is therefore not identical with the electromagnetic field. Lorentz was thus compelled to augment his hypothesis by assuming that forces, of whatever origin, and in particular gravitation, are affected by translation (or, if one prefers, by the Lorentz transformation) in the same way as the electrornagnetic forces.
I suggest that the midwife be now buried with appropriate honours and the f a c t s of absolute space-time faced. As noted above the Riemann curvature tensor of the spacetime of accelerated frames characterized by the transformations (4)vanishes, just as in the inertial frames. Thus, the physical effects related to these accelerated transformations have nothing to do with the gravitational field. The physics in non-inertial frames deserves more theoretical and experimental investigations. Clearly, one cannot be contented with the understanding of physics only in the usual inertial frames, which is the basic framework for the standard models and particle physics.