Cosmic Perspective Fundamentals
3rd Edition
ISBN: 9780134988504
Author: Bennett, Jeffrey O., Donahue, M. (megan), SCHNEIDER, Nicholas, Voit, Mark
Publisher: Pearson,
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Textbook Question
Chapter 13, Problem 9QQ
Choose the best answer to each of the following. Explain your reasoning.
9.If you had been present in the universe at the beginning of the era of atoms, what color light would you have seen ?(a)white light (b)red Light (c)no visible .light because only microwave light was present
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ROTATIONAL DYNAMICS
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Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 13 Solutions
Cosmic Perspective Fundamentals
Ch. 13 - Choose the best answer to each of the following....Ch. 13 - Choose the best answer to each of the following....Ch. 13 - Choose the best answer to each of the following....Ch. 13 - Choose the best answer to each of the following....Ch. 13 - Choose the best answer to each of the following....Ch. 13 - Prob. 6QQCh. 13 - Prob. 7QQCh. 13 - Prob. 8QQCh. 13 - Choose the best answer to each of the following....Ch. 13 - Choose the best answer to each of the following....
Ch. 13 - Choose the best answer to each of the following....Ch. 13 - Choose the best answer to each of the following....Ch. 13 - Prob. 13SEQCh. 13 - Prob. 14SEQCh. 13 - Explain all answers clearly, with complete...Ch. 13 - Prob. 16SEQCh. 13 - Explain all answers clearly, with complete...Ch. 13 - Explain all answers clearly, with complete...Ch. 13 - Explain all answers clearly, with complete...Ch. 13 - Explain all answers clearly, with complete...Ch. 13 - Explain all answers clearly, with complete...
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