Astro 103 - Lecture 25

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IS THE EXPANSION REAL?



1. Historical Sketch of the Universe


From start to present . . . an overview



Hot Big Bang ( t = 0 sec )

- the primordial fireball, expansion and cooling

inflation ( t = 10-34 sec )

- a period of exponentially fast expansion

baryogenesis ( t = 10-15 sec )

- formation of fundamental particles via pair-production and annihilation

nucleosynthesis ( t = 100 sec )

- formation of atomic nuclei from fundamental particles

decoupling ( t = 0.4 Myr )

- formation of neutral atoms and the subsequent free-streaming of photons (``light'')

galaxy and quasar formation ( t = 0.1-1 Gyr )

- formation of structure on the largest scales

today ( t = 10 Gyr )

- formation of lecture notes on the world-wide-web

Times are in round numbers !




2. The current cosmological paradigm


The Big Bang produced a Universe which was initially . . .

hot

homogeneous

isotropic

. . . and expanding. ``Concept'' of expansion:

not an explosion ``into'' space, but an explosion of space

The associated concept of cooling:

From the primordial fireball, to . . .
. . . the cosmic microwave background radiation (CMBR)

The expansion stretches photons,
makes hot black-bodies appear cool

Notice how we stop short of explaining the actual ``creation'' event - the ``Bang'' itself.

Overwhelming observational evidence:

the expansion is real !

(In lecture 26 we will examine the evidence in more detail.)




3. The Age and Fate of Universe


Age (first pass at calculation):

Assume the Universe has always expanded at the same rate (speed).

- Recall Hubble's law:

velocity   =   H0   x   distance

time (age) = distance / velocity = 1 / H0

- Plug in the numbers:

Assuming H0 = 75 km/s / Mpc . . .

age = 1 Mpc / 75 km/s

= ( 3.1 x 1019 km / 75 km ) s

= 4.1 x 1017 s

. . . now in years . . .

= 4.1 x 1017 s / x 107 s/yr

= 1.3 x 1010 yr

= 13 Gyr


Today's best estimate is H0 = 73 km/s / Mpc
How does that change our estimate of the age of the Universe?


Fate

Will the Universe expand forever ?

Or does the rate of expansion change ?

Speed up or slow down?

i.e., acceleration or deceleration ?

What happens if the Universe stops expanding?

What happens if the Universe expands forever?

density, curvature (geometry), and the nature of dark energy!

(Lecture 27)



Q25.1 How does the expansion of the Universe act to ``cool'' the Universe?

(a) The expansion stretches the wavelengths of the photons left over from the Big Bang.

(b) The back-body radiation gets refrigerated by the contraction of space.

(c) The Universe radiates away its excess heat.

(d) The expansion causes a sudden blue-shift in the temperature.

(e) The photons become less interactive.

Q25.2 Hubble's constant has units of speed per unit distance (km per second per Mpc, or km/s/Mpc), but the exact value is not known very well. If Hubble's constant increases, how will our estimate of the age of the Universe change?

(a) The estimated age of the Universe will remain the same.

(b) The estimated age depends only on the curvature.

(c) The Universe will be estimated to be younger.

(d) The Universe will be estimated to be older.

(e) The Universe will be estimated to be younger, but only if there is no expansion.


Lectures Lecture page Astro103 page

Last updated: Nov 28, 2012 Matthew A. Bershady