By L. P. Hughston
This long-awaited textbook deals a concise one-semester creation to uncomplicated normal relativity compatible for arithmetic and physics undergraduates. Emphasis is put on the student's improvement of either a fantastic actual take hold of of the topic and a cosmopolitan calculational facility. The textual content is supplemented through a number of geometrical diagrams and by means of a wide choice of difficult routines and difficulties.
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Extra resources for An introduction to general relativity
Apparent times of events were also relative because of the finite transmission time of light. Astronomical events could be deduced to happen at different times to when they were seen to happen, and astronomical technique was already good enough for astronomers to have seen apparent timing discrepancies in the eclipses of Jupiter's moons due to the variations in the distance between Earth and Jupiter, and to have used this to calculate a decent value for the speed of light. Newton did also define "absolute time … which flows equably …", but didn't claim that this necessarily corresponded to the rate at which any Earthly or celestial clock would actually run, or would be seen to run.
If we then try to halt the moving flask by pushing against the other side, the light now slams harder into the other side of the decelerating flask, and the higher internal light-pressure on that side now resists our attempt to slow the flask down. Since the "full" flask has a greater resistance to being accelerated than an empty one, the trapped light seems, as far as our external measurements are concerned, to be contributing some inertial mass to its container. 17 RELATIVITY IN CURVED SPACETIME captive light "falls" in a gravitational field Introductory school physics tells us that all objects will fall at the same rate in a gravitational field.
Curvature this weak is difficult to notice in everyday life. 19 RELATIVITY IN CURVED SPACETIME "captive" light provides gravitational mass. For our third thought-experiment, we'll take our full light-flask and place it on a set of kitchen scales. Since we've already decided that the light inside the flask ought to be deflected downwards by gravity, the fact that the flask is being suspended and isn't being allowed to free-fall means that its contained light is constantly being deflected by gravity towards the floor of the flask, and should be hitting it more strongly than it hits the flask's upper part.