Midterm 3 Flashcards

1
Q

Number the following events in order where 1=closest in time to the big bang

Recombination
Neutrino decoupling
The energy density of radiation and matter are equal
The peak of Deuterium formation
Inflation

A

Inflation
Neutrino decoupling
The peak of deuterium formation
The energy density of radiation and matter are equal
Recombination

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2
Q

What is the numerical value of the primordial Helium mass fraction?

Why isn’t it higher? What ultimately limits the formation of He?

A

Yp = 0.24

Deuterium bottleneck, lack of free neutrons

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3
Q

Why is it useful to measure the primordial abundances of D, 3He, 4He, and 7Li?

A

Constrains Omega baryon

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4
Q

What event causes proton-neutron “freeze-out” ?

A

The ration “freezes out” when the time for the neutrino-neutron interaction to occur becomes greater than the age of the Universe

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5
Q

If the era of nucleosynthesis had been delayed by 3 hours relative to the time of proton-neutron “freeze-out”what would the consequences be?

A

More time for neutrons to decay, so there are fewer neutrons to use when nucleosynthesis starts

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6
Q

Why do overdense regions smaller than the Jeans Length not collapse?

A

They have an outward pressue greater than/equal to the force of gravity collapsing in

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7
Q

Why does baryon-photon decoupling cause a sudden drop in the Jeans Length?

A

P - wE ; The EOS for the baryon-photon soup is w = 1/3, but when matter decoupled from photons, w=0 because matter is pressureless

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8
Q

What observation suggests that the Universe is filled with cold rather than hot dark matter?

A

Hierarchical galaxy formation

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9
Q

What is the best guess as to why the baryon-to-photon ratio has the value η ~ 6x10-10? How does it evolve with redshift?

A

Slight asymmetry (800,000,003 to 800,000,000) in the matter-antimatter annihilations, resulting in 1.6 billion photons per baryon. It does NOT evolve with redshift

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10
Q

Why, physically, can’t baryonic density fluctuations grow prior to decoupling?

A

Baryonic matter fluctuations with sizes smaller than the hubble distance cannot grow, they just oscillate like sound waves. This is because they were pressure-supported and could not collapse

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11
Q

Why does the CMB provide the best measure of the curvature Ωk? Explain how you would measure it.

A

The first peak of the plot gives us the curvature Ωk (flat). We measure this by large surveys (SDSS) and fit these to the plot to compare fit. Can also use the CMB to constrain Ωtotal

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12
Q

Describe the “horizon problem” and how inflation provides a solution.

A

We do not expect all parts of the observable universe to be so homogeneous or “causally connected” but the CMB shows us this is the case. Inflation solves this by stating that due to inflation, the universe WAS causally connected, explaining the homogeneity and solving the fine-tuning problem

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13
Q

What is the approximate value of the baryonic Jeans mass, MJ, just before and just after decoupling?

A

Before : Mj = 10^19 solar masses
After: Mj = 2x10^5 solar masses

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14
Q

Describe what the 2-point correlation function measures.

A

It is the “excess probability” of finding a galaxy at a distance r from some other galaxy relative to a purely random distribution

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15
Q

How is the 2-point correlation function related to the power spectrum?

A

It is a Fourier transform of the power spectrum

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16
Q

What is the functional form of the power spectrum coming out of inflation?

A

P(k) = k ^ n , where n = 1

17
Q

On what physical scales and by what mechanism is the power spectrum damped in a hot dark matter (HDM) Universe?

A

Damped on small scales, free streaming of HDM/neutrinos
Small-scale structures never form, this is NOT supported by observations

18
Q

On what physical scales and by what mechanism is the power spectrum damped in a cold dark matter (CDM) Universe?

A

No free-streaming damping, still damped on small scales

Fluctuations LARGER than the horizon (Jean’s Length) grow efficiently.

There is more suppression for higher k-values (smaller scales) because the scales enter the horizon (and hence stop growing) earlier in the radiation-dominated era