5 March

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:
1.) Massive star on the Verge of a Supernova Explosion
2.) Supernova Remnant and Neutron star
3.) Star shreds from a Supernova Explosion

Have a good break.

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
---------------------------
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
---------------------------------------------------
 
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
----------------------
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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