Goal: To understand special stars. Objectives: 1)To learn the basics about Black holes 2)To examine...
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Transcript of Goal: To understand special stars. Objectives: 1)To learn the basics about Black holes 2)To examine...
Goal: To understand special stars.Objectives:
1) To learn the basics about Black holes2) To examine the different sizes/masses of
Black holes3) To learn about the physics inside a black
hole4) To explore Kerr black holes.
5) To explore Hawking Radiation6) To learn about some other black hole
oddities
What is a black hole
• As we saw before an object dense enough or massive enough such that the escape velocity is the speed of light
Event Horizon
• = Goodbye Forever (takes infinite time to pass through it)
• Is the surface where the escape velocity is the speed of light
• Is the effective radius of the black hole
• Rs = 1.5 km * Mass of black hole (in solar masses)
Solar Mass Black Holes
• These are black holes that are 5-50 times the mass of our sun.
• They are formed from the deaths of massive stars.
• If on their own they are very tough to find as we can only see black holes when they interact with other objects.
Black Holes in binaries
• Just like with Neutron stars and white dwarfs, black holes will create an accretion disk.
• However, you can see nothing from the actual accretion, so all you get to see is the accretion disk.
• On the plus side, the accretion disk goes down to a few km in size at which point the gas has been heated quite a bit (infalling gas is slowed by frictional heating and interactions with the magnetic field).
• The innermost parts will emit X-rays!
Black holes in Globular Clusters
• In the centers of Globular Clusters, where stars are very tightly packed we often find black holes
• These black holes can be a few thousand times the mass of our sun.
• There also seems to be a correlation between cluster mass and black hole mass.
Galactic Center Black Holes
• Every galaxy we can peer into its center has a black hole that is millions of solar masses to billions.
• Ours is 4 million.
• Andromeda is about a billion.
Astro-mercial• But wait there’s more!
• JETS!• Materials racing
outward at close to
the speed of light
and going for up to
millions of light
Years!• (NGC 5532)
Physics outside a black hole
• We have 4 known dimensions
• 3 real spatial
• 1 real time
• Real Distance = Real Velocity * Real Time
• Real Acceleration = Change in Real Velocity / Real Time
Inside a black hole:
• Tobject = Tuniversal / (1 – rs / r)1/2
• So, when r > Rs then we have the square root of a negative number.
• What does that give us?
Imaginary Time
• So, time is not real but in terms of i (i = square root of -1)
• In our 4 dimensional physics world this messes up everything…
• So how can the Laws of Physics not work and still be Laws?
Maybe not
• M-Theory (not really a “Theory” more a “Model”, but M-Model does not sound impressive)
• 11 dimensions
• So, what makes no sense in 4 dimensions might make sense in 11.
• (so might have 3 real spatial, 3 imaginary spatial, real time, imaginary time, and 3 more dimensions)
So
• Black Holes may have a key in unlocking the mysteries of the universe.
• However, we have no idea what happens to the stuff inside the black hole.
• Does it all collapse to center, or just get converted to energy?
Properties
• Even though the physics fail as we currently understand them in our 4 D worldview Black Holes still have properties
• They have magnetic fields
• Some have spin.
Kerr Black Holes
• Kerr Black Holes are black holes with spin.
This gives
them a
different
structure
Spin Energy
• In the distant future you can actually take the spin energy out of a Kerr Black Hole and use it!
• However the closest black hole is > 1000 light years away so…
Hawking’s Radiation
• Space is NOT empty, it has energy!
• Everywhere in space you are constantly forming pairs of particles.
• One with + energy, one with -.
• They usually run into other particles and destroy themselves.
Near an event horizon
• There is a chance for the negative energy particle to quantum tunnel through the event horizon and end up inside the black hole
• The positive energy particle then escapes from the black hole (making it appear that the particle came from inside the black hole)
• Since energy is mass that means the black hole looses mass!
However
• This process for known black holes will not start (due to getting more energy from the universe and radiation from the universe than they would loose) for a long time
• The smaller black holes will last a google years.
• The bigger ones even longer.
Wormholes + White Holes
• If you bend space time enough it makes it very easy to get to another place
• Black holes are one way to do that• However, it is problematic
• White holes are the opposite.• You go into a black hole, and shoot out a White hole.• Warning: the white hole you exit would not be in our
universe but would be in a negative space universe• 2nd warning: UNSTABLE! Just you entering might be
enough to destablize