Understanding Our Universe
Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 16.4, Problem 16.4CYU
To determine

The process that is described by the standard model.

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What can change the expansion rate of the Universe over time? Gravity: Attractive forces increase the expansion rate by pulling mass together making gravity stronger. Gravity decreases the expansion rate, while electromagnetic forces are always repulsive and speed-up expansion. Attractive forces such as gravity decrease the expansion rate. Repulsive forces would speed-up expansion by pushing spacetime apart. Nothing, since the expansion rate remains always constant, and it is measured from Hubble's law.
Sketch a caricature or diagram of the situation or phenomenon showing that Hubble’s Law strongly implies an expanding universe. And provide an explanation.
3. Consider the following two universes: Universe I: flat, matter-dominated with no cosmological constant or radiation, in which a(t) = (t/to)2/3. Universe II: flat, radiation-dominated with no cosmological constant or matter, in which a(t) = (t/to) ¹/². a. Which universe is expanding the fastest? b. For each case, use the Hubble law to show that to = 3/(2H₁) and to = 1/(2H₁) for universes I and II respectively. c. Based on the previous question, which universe would be the youngest assuming a given Ho value?
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