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Transcript
Today’s outline
Review
Star Remnants
White Dwarfs
Homework due Thursday morning
Test Friday
Review: Lives of High Mass Stars
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Stellar remnants
I
White dwarf stars
I
Neutron stars
I
Black holes
Question concepts
Review
Star Remnants
Question #1: Heavier nuclei have higher electric charge than
lighter nuclei, therefore fusing them together requires higher
temperatures in order to overcome the stronger
electromagnetic repulsion.
Question #2: The creation of a new core burning phase
inside a star proceeds through the following events: fuel
depletion in the core, formation of a burning shell around th
core, contraction of the (now inert) core raising its
temperature, eventual ignition of burning in the core.
Question #3: When a high mass star dies it will leave
behind a neutron star or black hole. A low mass star will
leave behind a white dwarf.
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Stellar remnants
I
White dwarf stars
I
Neutron stars
I
Black holes
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
White dwarf stars
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
White dwarf
I
remnant core of low-mass star
I
cooling from being the hot core of a star
I
millions of times more dense than water
teaspoon of white dwarf core = 100 tons
I
held up by electron degeneracy pressure
I
more mass is smaller
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Question concepts
Question #4: Higher mass white dwarf stars are smaller in
size than lower mass ones.
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Electron degeneracy
higher energy
Degeneracy – particles like electrons
are not allowed to occupy the same
energy level
high temp
low dens
low temp low temp
low dens high dens
Thus Temperature is not necessary
to ”hold up” the star
more like a ”normal” object - does
not contract as it loses energy
I At high temperature, particles
tend to not be in same levels
anyway
I At low temperatures particles
will ”stack up” in lower
energy levels
I At high densities the ”top” of
the stack can be quite high
energy
The pressure from electrons on the
”top” of the stack holds up a white
dwarf star without thermal pressure
(though the interior is still several
million K)
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Maximum white dwarf mass
Review
Electrons can’t move faster
than speed of light
I
Upper limit to pressure
I
Maximum mass for white
dwarf
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
I
about 1.4MSun
Above this mass, electrons are
forced onto protons
– form neutrons
Take up much less space
Collapses to neutron star
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Speed of light and relativity
The speed of light is always the
same
– implies that it is also the highest
possible speed
I normal objects thrown from
moving cars
– object thrown from faster
car moves faster
I light emitted from moving
cars
– always goes the same speed
Thus an object can never go faster
than light it emits
Has some very counterintuitive results for the nature of
space and time – time dilation, distance contraction
Hinges on something that we take for granted
– Simultaneity - events separated in space can occur at the
same time - not as true as you think
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Neutron Stars
Without electrons, neutron stars
are as dense as nuclei
Paperclip of this density has
mass of mount everest
I
?
I
about as heavy as sun
I
We don’t know what
material at center is like
(quark-gluon plasma!)
I
has a solid crust as well as
oceans (of liquid metal)
neutrons
crust of heavy nuclei
atmosphere of light nuclei
about 10km in radius
(about 6 miles)
Already very much like a black
hole - very small
has an innermost orbit – orbital
radius below which objects can’t
stay in orbit
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Review
Star Remnants
White Dwarfs
Question concepts
Question #5: Neutrons have no charge, and therefore no
electric repulsion. This makes it easy for neutrons to get
close to each other and to other nuclei.
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Pulsars
Extremely regularly pulsed
radio signals
Spinning neutron stars
I
I
Caused by radiation
beamed from magnetic
poles
Rotation causes
”flashing” as beam points
toward and away from us
I
Born rapidly rotating as
core of star collapses in
supernova
I
spins down over time due
to losses due to magnetic
field
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Pulsars power supernova remnants
Review
Star Remnants
White Dwarfs
Rotation of magnetic neutron
star (pulsar) is the energy
source that lights up the
central part of supernova
remnant.
Central blue haze from energy
and magnetic field shed by
neutron star
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Black Holes
Review
At too high mass, quarks can no longer move at high enough
speeds to hold up the neutron star. Happens above about
3Msun
Collapse to black hole
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Gravity can bend light around a star
Light bends somewhat like
particle (planetary) orbits
The bending of spacetime
influences causality
– the ability for events to cause
other events
– information cannot propagate
faster than light
I event horizon is the radius
inside which events cannot
cause events at larger radius
If light is subject to very high
gravity, very close to a small
object, can get trapped. This
is a black hole.
I Light cannot move outward
from this radius
Black holes are remarkably small
not remarkably heavy
Can be just a few times our sun’s
mass
Far away, no stronger gravity than a
similar mass star
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Gravity warps space and time
Clocks run more slowly near
gravity source
Observed for the earth too,
but very weak.
Review
Star Remnants
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
From outside black hole, you
never see an object reach the
event horizon. It appears to
be in freefall forever, with an
ever-slowing rate.
The object falling in the hole
does not notice passing
through the event horizon.
But once beyond it can never
return
Characteristics
Pulsars
Black holes
Bending light
Black Holes
Review
Star Remnants
Question concepts
Question #6: From a typical planetary orbit, a black hole’s
gravitational field is no different than that of a star with the
same mass. The difference is that a black hole is very small,
so that very close to it gravity is quite strong.
Question #7: Events that occur closer to a black hole than
the event horizon cannot influence events outside the event
horizon. That is, information cannot propagate from a point
inside the event horizon to a point outside it.
White Dwarfs
Degeneracy
Maximum mass
Speed limit
Neutron stars
Characteristics
Pulsars
Black holes
Bending light
Black Holes