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The whole of science is nothing more than a refinement of everyday thinking.
Albert Einstein, Physics and Reality |
Assignments:Read Part 6 (pp. 498-499) and Chapter 31, Sections 1-2 (pp. 500-505) in your textbook.
Check out these images from NASA's Astronomy Picture of the Day:
Have a good break.
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In Class:
Once a massive star fuses its core into iron, there's no more
energy available from fusion
- iron is the end of the line, the world's more stable nucleus
Just as with the white dwarfs, it's now up to the electrons to hold things up
against gravity
-- however, for cores with mass greater than 1.4 solar masses
- the "Chandrasekar limit"
- electrons can't do it
-- they literally get pushed into the protons and
turned into neutrons
-- PROBLEM!
- neutrons have no charge
- they can be stacked up right next to each other
- super dense
-- when the electrons are finally defeated, and pushed into
the protons, the core collapses
to a tiny fraction of its original size
virtually disappears (NEUTRON STAR == NS)
- where a WD might be the size of the Earth
- a NS might be as small as 10 mi across
(WITH THE SAME MASS!)
Consider an analogy:
You're standing on top of the World Trade Center (1000 ft up)
The World Trade Center suddenly becomes 2.5 ft tall
you're hanging out in space like the Coyote in a Road Runner cartoon
-- you fall 1000 ft and splat onto the 2.5ft tall World Trade Center
Same thing happens in stars
-- core virtually disappears
-- the rest of the overlying layers are no longer supported
- come crashing down onto the NS
- the ultimate in implosion
- Because NS's are really solid, material literally
"bounces" off the surface
- creates a very big explosion
- kaboom!
- shock wave and nuclear fireball propagate outward
at nearly the speed of light
- shred the star and eject
everything into space
--> SUPERNOVA EXPLOSION
-- luminosity reaches 10 billion L_sun
-- more energy released in a few hours
than during the star's entire lifetime
-- for a little while, one star
can be more luminous than an entire galaxy
of 100 million stars
This is also the time of heavy element nucleosynthesis
- aka "explosive" nucleosytnthesis
- production of elements heavier than iron
- not energetically favorable
- don't get any energy for it
- that's why it doesn't happen in the core
- but during SN, there's plenty of energy around
- this is where you get all of the elements heavier than Fe
- this is also why there aren't many of those
In fact, the stellar evolution process explains the abundances of the
elements pretty well
- If the universe started as mostly H
- produce a bunch of He
- less C,N,O
- a lot less Mg, Ne
- a bit of Fe
- almost none of the other stuff
- corresponds pretty well to current cosmic abundance estimates
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Famous Supernovae
- Crab Nebula progenitor 1054
- Tycho's 1572
- Kepler's 1604
- SN1987A
- brightened within 3 hours
- details in your text
Supernova remnants
- the ejecta
- splatterred all over the interstellar medium
- pretty hot
- started hot
- heated by explosion
- density is low
--> spectral line emission
-- substantial enrichment of the interstellar medium
- especially in metals
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Looking at the ashes of stars: WD, NS, BH
WD: odd, incredibly dense form of matter
- held up by electron degeneracy
NS: odder still
- electrons and protons have been pushed together
- only neutrons
- like a giant single nucleus
- has nuclear densities
- doesn't collapse any more becuase of neutron degeneracy
BH: the oddest of all
- gravity is too strong even for neutron degeneracy
- what is it made out of: I dunno
- densities even higher than nuclear
- "what it is" is really beyond our understanding
- "how it acts" we can talk about
consider how regular gravity works
- from Newton F = GMm/r^2
- force is proportional to masses and separation
- we are pulled toward the center of the Earth
because we have mass, and the Earth has mass
- how hard we're pulled has to do with
- our mass
- Earth's mass
- separation between us and all of
the Earth's mass.
- it's the combined pull of all of the different
parts of the Earth
- there are some nearby parts
- but most parts of the Earth are far from us
- their pull isn't too strong
- now consider making the Earth more dense
- put same mass in a smaller package
(i.e., squeeze it down to a smaller size)
- now each of those parts that used to be distant from us
are nearer
- can pull harder on us
- net result: force of gravity on us is stronger
- note that we have NOT INCREASED the mass
only increased the density
- to get off the Earth requires energy
- lift mass off surface
- push against force of gravity
- in physics, this is formally called work
- if the force of gravity is stronger (as with a squished Earth)
- need more energy to get off the surface
- we can think of this in terms of how fast we would have to
shoot something in order to get it to leave the Earth
- called "escape velocity"
- making something move fast is the same thing as giving it
lots of energy
- it will "use" that energy to get off the surface
- you can imagine a situation where the force of gravity is so
great that you'd need to give an object an enormous amount of
energy to get it to leave
- escape velocity would be really high
- for really strong gravity, escape velocity might be
near the speed of light
- but how can anything travel faster than light? -- It can't
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Enter Einstein
- two important aspects of relativity theory
1) you can't go faster than the speed of light
2) mass and energy are just different forms of the same thing
(i.e, E = mc^2)
point #1 indicates that there are some places you can't get out of
- no limit on how strong gravity can get
- just put in more mass, or
- get the density really high
- but you can't go faster than the speed of light, so if gravity is
really strong, you can't escape
point #2 makes matters even worse
- since energy is just another form of mass
- energy feels the pull of gravity
- that means photons feel the pull of gravity
- they have to "work" to get out, too.
- where does the energy to do this work come from?
- from the photons themselves
- after all, they're pure energy
- if we use up some of the energy of a photon in getting out of
a high gravity region
- there will be less left when the photon gets out
- the photon will have lower energy than when it started
- lower energy = longer wavelegnth
- the photon will actally change wavelength
in getting out
- seriously wierd
- because it gets shifted to longer wavelengths by gravity
this is called "gravitational redshift"
- the stronger the gravity, the more energy the photon loses in
getting out
- don't notice the gravitational redshift on Earth
- gravity is too wimpy
- can just measure it from stars like the Sun
- toward WDs and NS, it's a very strong effect
- what if gravity is too strong?
- ie., what if the energy required is greater than the
energy of the photon?
- doesn't get out
- even photons can't leave
- nothing gets out
--> BLACK HOLE
Not only can no matter even leave a black hole, but even light can't leave
- i.e., no communication betweeen inside a BH and the outside universe
- completely detached from our universe
- very wierd
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