21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 22, Problem 21QP
To determine
The flatness problem along with its difficulties.
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Consider the following line element,
ds² = -dt² + a² (t) (dx² + dy²) + b²(t) dz²,
where a(t) and b(t) are distinct functions. State whether or not this line element obeys the
Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.
What mechanism can simultaneously solve both the flatness and horizon problems in cosmology?
Question A7
Consider the following line element,
ds² = - dt² + a² (t) (da² + dy²) + b² (t) dz²,
where a(t) and b(t) are distinct functions. State whether or not this line element obeys the
Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.
Chapter 22 Solutions
21st Century Astronomy
Ch. 22.1 - Prob. 22.1CYUCh. 22.2 - Prob. 22.2CYUCh. 22.3 - Prob. 22.3CYUCh. 22.4 - Prob. 22.4CYUCh. 22.5 - Prob. 22.5CYUCh. 22 - Prob. 1QPCh. 22 - Prob. 2QPCh. 22 - Prob. 3QPCh. 22 - Prob. 4QPCh. 22 - Prob. 5QP
Ch. 22 - Prob. 6QPCh. 22 - Prob. 7QPCh. 22 - Prob. 8QPCh. 22 - Prob. 9QPCh. 22 - Prob. 10QPCh. 22 - Prob. 11QPCh. 22 - Prob. 12QPCh. 22 - Prob. 13QPCh. 22 - Prob. 14QPCh. 22 - Prob. 15QPCh. 22 - Prob. 16QPCh. 22 - Prob. 17QPCh. 22 - Prob. 18QPCh. 22 - Prob. 19QPCh. 22 - Prob. 20QPCh. 22 - Prob. 21QPCh. 22 - Prob. 22QPCh. 22 - Prob. 24QPCh. 22 - Prob. 28QPCh. 22 - Prob. 29QPCh. 22 - Prob. 31QPCh. 22 - Prob. 32QPCh. 22 - Prob. 33QPCh. 22 - Prob. 34QPCh. 22 - Prob. 35QPCh. 22 - Prob. 36QPCh. 22 - Prob. 37QPCh. 22 - Prob. 38QPCh. 22 - Prob. 39QPCh. 22 - Prob. 40QPCh. 22 - Prob. 41QPCh. 22 - Prob. 42QPCh. 22 - Prob. 43QPCh. 22 - Prob. 44QPCh. 22 - Prob. 45QP
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- What does the term Hubble time mean in cosmology, and what is the current best calculation for the Hubble time?arrow_forwardHow does the inflationary universe hypothesis resolve the flatness problem? How does that hypothesis resolve the horizon problem?arrow_forwardThis a question on Cosmology: Suppose that you have a flat universe that has matter and dark energy with wd = -2/3 & Ωd,0 =0.7 At the time when light with z = 1 was emitted from a distant galaxy what was the ratio Ɛd /Ɛm ?arrow_forward
- Why can't we see past the cosmological horizon? The universe extends only to this horizon. Beyond the cosmological horizon, the Universe curves away from us, like the surface of the Earth. O We do not have telescopes big enough. Beyond the cosmological horizon, we are looking back to a time before the universe had formed.arrow_forwardWhat is the difference between hot dark matter and cold dark matter? What difference does that make to cosmology?arrow_forwardAccording to the cosmological principle, our place in the universe does not appear to be particularly special compared to any other and it allows us to make predictions about the development of other galaxies and the evolution of the universe. The principle relies on Hubble's results that the universe appears to be the same in all directions (aka it is Question Blank 1 of 2) {hint: one word} and that any large region of space at a given distance from us appears like any other large region of space at a similar distance from us (aka it is Question Blank 2 of 2) {hint: one word}arrow_forward
- Sketch a caricature or diagram of the situation or phenomenon showing that Hubble’s Law strongly implies an expanding universe. And provide an explanation.arrow_forwardWhat is meant by the critical density of the universe? Why is this quantity important to cosmologists?arrow_forwardI asked the following question and was given the attached solution: Suppose that the universe were full of spherical objects, each of mass m and radius r . If the objects were distributed uniformly throughout the universe, what number density (#/m3) of spherical objects would be required to make the density equal to the critical density of our Universe? Values: m = 4 kg r = 0.0407 m Answer must be in scientific notation and include zero decimal places (1 sig fig --- e.g., 1234 should be written as 1*10^3) I don't follow the work and I got the wrong answer, so please help and show your work as I do not follow along easily thanksarrow_forward
- Briefly explain what is meant by “particle horizon” and “event horizon” in cosmology. Calculate the physical particle horizon, RH(t), at time t. Assume a flat FRW universe whichis dominated by a fluid that gives rise to scale factor evolution where n is a constant with 0 < n < 1, and a(t0) = a0.arrow_forwardHow can we apply the knowledge that was produced by the Large Hadron Collider to our current society? Please provide a complete answer.arrow_forwardIn what ways did the astronomical observations of Galileo support a heliocentric cosmology? Describe in detail at least two specific examples.arrow_forward
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