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We can find out by "running the movie backwards" again to see how long the expansion has been taking place.
ROUGH ESTIMATE: If H = 70 km/s/Mpc, then a galaxy 100 Mpc away is receding from the Milky Way at 7000 km/s. We can use the standard distance = speed x time equation ( D = V x T, e.g., 6 km/h x 2 hours = 12 km) to find T, the age of the Universe:
T = distance / speed = 100 Mpc / 7000 km/s = 100 x 106 pc/Mpc x (3 x 1013 km/pc) / 7000 km/s = 4.3 x 1017 seconds = 1.4 x 1010 years, about 14 billion years. This is called a Hubble Time, the age of the Universe determined directly from the rate of expansion.
Is the Hubble Time consistent with the ages of stars according to our understanding of stellar evolution? Just barely! The oldest globular clusters are evidently about 13 billion years old, and the age of the Universe seems to be about 14 billions years old -- but maybe just a little bit less!
Now you can see why it is so important to measure the value of the
Hubble Constant!
Is there enough mass and therefore gravity to turn around the
expansion, bringing all matter crashing back together in a gigantic
"Big Crunch"? Or is there enough momentum from the expansion to
overcome gravity and maintain the expansion forever?
This is one of the biggest questions in astronomy today, and many
researchers have devoted their careers to finding the answer. It may
be that within just the next few years we will know for sure, so stay tuned!
There are three basic possibilities:
Today, the critical density is 9 x 10-30
grams/cm3 -- about 6 H atoms per cubic meter, or 1 Milky
Way galaxy per Mpc3. If we add up all the mass in stars,
galaxies, dust, gas, and dark matter we can detect in the Universe, we
get only about 30% of that -- so it looks at this point as if the
Universe is open, and will expand forever.
In fact, there is some recent evidence that the expansion is
actually speeding up, due to "extra energy" that exists
even in apparently empty space.
2. The Fate of the Universe: Crunch or Coast?
The Universe has apparently been "coasting" ever since the Big Bang,
slowing down bit by bit as the force of gravity constantly tugs on all
the stars, galaxies, clusters of galaxies, and dark matter that make
up the Universe.
Lectures
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Astro 100
Last updated: May 7, 2008 Neal Katz