Lecture 7. Death of High Mass Stars
Massive stars live fast, and die young! They
are more massive, so the inward pressure on the core due to gravity is
larger, so to balance this the thermal pressure of the hot gas in the
core needs to also be bigger, so they are hotter. Fusion reactions are
very sensitive to temperature and go MUCH faster when the temperature
is larger. And the higher temperatures mean that the star can burn
Hydrogen into Helium via the faster Carbon-Nitrogen-Oxygen
(CNO or carbon) cycle, as
well as by the
proton-proton
chain. So the star gets through
its Hydrogen fuel very quickly compared to the solar mass stars, and
leaves the main sequence. High mass stars follow the same sort of
evolution as low mass stars (except that they are so luminious that
they are called supergiants rather than red giants)
up to the point where the low mass star
had a carbon/oxygen core. For low mass stars this is the end since
their gravity is not strong enough to heat the core up enough to start
other nuclear fusion reactions. But in high mass stars gravity is
stronger, so the core temperature can rise so that the star can fuse
Helium onto carbon to get oxygen and Helium onto oxygen to get Neon,
and Helium onto Neon to get Magnesium.... all the way up the periodic
table in steps of 2 (since the Helium nucleus has two protons), making
all the heavy elements by
nucleosynthesis
But there must be a problem somewhere, since we know we can get energy
from FISSION (splitting apart) of high atomic number elements (atomic
number is just the number of protons in the nucleus) like uranium.
Uranium doesn't give us energy is we add a Helium nucleus on - it
gives us energy if we take one away!!! There must then be a crossover
point somewhere, where we get very little energy for either fusion or
fission. This crossover is at iron. When the star starts fusing lower
atomic number elements into iron then the iron core just builds
up. There are no more sources of fusion energy. The iron core
contracts and heats up, but there is nowhere to go to get energy. In
the end it is held up by electron degeneracy pressure, but the iron
ash from
nuclear reactions in shells around the core keeps on falling
onto the core making it more and more massive, so gravity squashes it
more and more...
How much mass can the electron degeneracy pressure hold ? When gravity
can only be balanced if the average electron is moving at the speed of
light then it all goes horribly wrong (Einsteins theory of
special relativity
- but ignore the maths). For a core mass of about 1.4 times the mass of the Sun
the electrons can't hold up any more. The core
collapses catastrophically , falls in, bounces, and the explosion
tears apart the outer layers of the star in a dramatic
supernova explosion . (More
pictures of
supernovae .
Much of the star gets ripped apart, forming an X-ray hot
supernova remnant , which then cools as it expands.
The temperatures and pressures in this explosion are enough
to fuse higher atomic number elements, even though this takes energy,
rather than providing energy. All the elements formed in the star get
scattered across space in the explosion: this is the way in which
the elements heavier than Helium formed (including those in us)!!
An overview of stellar evolution for different mass stars as seen in
the Hertzsprung-Russell diagram for different
star clusters
But what happens to the core ? The collapsing electrons get
close enough to the protons to find life easier if they interact,
forming a neutron (and a neutrino). Neutrons are like electrons in
that they don't like being stuck in a box either, but they are more
massive particles, so they have more energy, so the wavelength
associated with them is smaller. So they can fit in a much smaller
box. This is a
neutron star ,
held up by
neutron degeneracy pressure.
But again, there is a limit to the mass of the stellar core which can
be held up by this - when the mass is so big that
gravity can only be balanced by neutron degeneracy pressure from
neutrons approaching the speed of light. It all goes horribly wrong
(again), but the core has nowhere left to go. A white dwarf has the
mass of the Sun, squashed into an object the size of the Earth (the Earths
diameter is 100x smaller than the Sun's). A neutron star is 2000x
smaller than a white dwarf, so we have the mass of the Sun, squashed
into a region the size of Newcastle (20 km diameter). And now gravity
is very very strong, and we have to use
Einsteins general theory of
relativity
to describe it. We have only to squash a neutron star by another
factor of 3 before the gravity is so strong that light cannot
escape. This is the definition of a
black hole, space so warped that even
light is forever trapped inside.
More on
black holes and a
virtual trip into a black hole