By Andrew Liddle
A concise, available creation to this interesting and dynamic subject.* Adopts an strategy grounded in physics instead of mathematics.* contains labored examples and scholar difficulties, besides tricks for fixing them and the numerical answers.* Many reviewers have commented that this is often the most effective 'introductory undergraduate point' texts at the topic and they'd all welcome a moment version.
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Extra info for An Introduction to Modern Cosmology
Describe qualitatively the behaviour of the Universe. Attempt to sketch a as a function of t. 6. Now consider the case k < 0, with a Universe containing only matter (p = 0) so that p = p 0 /a 3 . What is the solution a(t) in a situation where the final term of the Friedmann equation dominates over the density term? How does the density of matter vary with time? Is domination by the curvature term a stable situation that will continue forever? This page intentionally left blank Chapter 6 Observational Parameters The Big Bang model does not give a unique description of our present Universe, but rather leaves quantities such as the present expansion rate, or the present composition of the Universe, to be fixed by observation.
5, and come back to the intervening material later. 6 to find out why a factor of c2 mysteriously vanishes from the Friedmann equation between here and there. 5 The acceleration equation The Friedmann and fluid equations can be used to derive a third equation, not independent of the first two of course, which describes the acceleration of the scale factor. 10) with respect to time we obtain a 2 a 3 kc2a . 16) Substituting in for p from equation (3. 10) again, we arrive at an important equation known as the acceleration equation 3 .
One finds that • The angles of a triangle add up to less than 180°. rr. Because parallel lines never meet, such a Universe must be infinite in extent, just as in the flat case. The situation k < 0 is known as an open Universe. 4. 1 A summary of possible geometries. 1, seems best suited to describe the real Universe. 4 Infinite and observable Universes What does it actually mean for the Universe to be infinite, as in the flat and open cases? This property is nothing to do with the Universe lasting forever; what it means is that the Universe is already infinite in size even at a finite time.