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There’s something strange at the center of our galaxy…. Modern large telescopes can track individual stars at Galactic Center Need infra-red (to penetrate dust?) Need very good resolution. We have been observing for past 10 years…. The central object is Very dark
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There’s something strange at the center of our galaxy… • Modern large telescopes can track individual stars at Galactic Center • Need infra-red (to penetrate dust?) • Need very good resolution. • We have been observing for past 10 years…
The central object is • Very dark • Very massive (3 million solar masses) • Must be very compact (Star S2 gets within 125 AU of the center) • Currently the best case for any supermassive black hole
Why are Supermassive Black Holes always found in Galactic Cores? • Gravity separates matter by density • The dense element iron sinks to Earth’s core • Heavy elements sink to centers of stars • Binary stars and massive stars sink to the center of star clusters • Supermassive black holes sink to the centers of galaxies • Massive galaxies sink to the center of galaxy clusters • This is a very general property of nature!
Is there a Supermassive Black Hole in Every Galaxy? • Supermassive Black holes exist in centers of some galaxies… • But how widespread are they? Does every galaxy have one? • Several teams set out to answer that question… • Use best resources (HST, large telescopes on ground etc.) to gather lots of data on many nearby galaxies. • Systematic search for black holes • They found them everywhere they looked, and discovered interesting patterns… • Correlation between size of black hole and the brightness of the galaxy’s bulge (but not the galactic disk)…
Patterns: Galaxies and their Supermassive Black Holes Even better correlation with stellar velocity in bulge… Correlation with the mass of the galactic bulge.
Supermassive Black Holes • Correlations between Supermassive Black Holes and their host galaxies are crucially important! • Argues for a connection between the formation of the galaxy and the supermassive black hole. • The details are still not well understood - an active area of current research!
Active Galactic Nuclei(When good black holes go bad!) • Active Galactic Nuclear - AGN • Discovery of AGN (3C273) • What are AGN? • Radio-galaxies • AGN and colliding galaxies
I : The discovery of AGN • Early 1960s… • Radio astronomers started to survey the sky • Found many mysterious radio sources • Quasi-stellar radio sources (quasars for short) • Very difficult to identify… radio images were too fuzzy to allow quasars to be localized on sky • Cyril Hazard… • Used “Lunar occultation” to localize 3C273 • I.e., measure the precise time when the radio signal from the quasar is blocked by the Moon… • … then use knowledge of the Moon’s position to determine position of quasar. • Hazard could localize 3C273 to about 1 arcsec.
Quasars are Bright and Far Away • M.Schmidt • Took Hazard’s position and observed it with “normal” (optical) telescope… in particular, he measured its spectrum • Spectrum showed huge velocity, 50,000km/s • Hubble’s law huge distance (700Mpc+) • Thus, 3C273 must be very powerful to still appear bright when its so far away! • About 1000x luminosity of our whole galaxy • Source was variable must be “small”, about size of our solar system (Why?)
Rapid Time Variation means Small Source Size • What if the Sun stopped shining right now (instantaneously) - what would we see? • Nothing unusual for 8 minutes! • Then the center of the Sun would go dark - “there’s a little dark spot on the Sun today.” • The dark circle would expand toward the bright edge of the Sun and, 2 seconds later, all would be dark • The 2 second delay happens because the center of the Sun is closer to us than the edges by about 2 light seconds. • The fastest change that we could see happening to the entire Sun would take 2 seconds - this limit is set by the object’s size
There are now many many examples of AGN… MCG-6-30-15
II : The Theory of AGN • What powers AGN? • Define efficiency of an AGN • Think about efficiency of different processes • Chemical burning, 10-9 • Nuclear fusion, 0.007 • Accretion onto a black hole, 0.1 • Matter/anti-matter annihilation, =1
How to Power AGN • Suppose AGN has power of 1040W and lasts for 10 million years • Then, what masses are needed? • Chemical burning… 21012 Msun • Nuclear burning… 2109 Msun • Accretion… 2108 Msun • Matter/anti-matter… 2107 Msun • Masses tend to argue for accretion (there are not large amounts of anti-matter in space!). And we know that billion solar mass black holes exist.
Now believe that AGN are indeed accreting supermassive black holes • Matter can’t fall straight in… forms an accretion disk. Accretion disks power jets.
Jets from Black Holes form Radio Galaxies • About 1-10% of AGN are radio-galaxies • Radio galaxies • Possess huge jets that transport energy away from center and entirely out of the galaxy • Processes associated with jets then give powerful radio emission • Material in the jets is moving very close to the speed of light… how do we know this?
Faster than a speeding light ray? • Superluminal motion • Jets have “blobs” • Some blobs appear to move faster than light! • Motion faster than light is not allowed by the Special Theory of Relativity • What’s going on? • Superluminal motion is an optical illusion – blobs partially “catch-up” with the light they emit. • But needs jet to be traveling close to the speed of light • No Warp-Drive yet.
Wormholes and Timewarps? • Wormholes • Wormholes may exist inside black holes • Build a stable wormhole and bring wealth and prosperity to your planet! • Timewarps • The idea of cause and effect • The assumption of causality and the speed of light • Can time-machines exist?
Astrophysicists view of black holes… stops at the event horizon
But there is structure inside the event horizon! Nothing escapes from inside the Event Horizon
Non-rotating Black Holes: The Schwarzschild Solution • Schwarzschild solution • Mathematical description of a non-rotating black hole • Discovered by Karl Schwarschild in 1916 • Any normal particles/light entering event horizon are doomed to hit the singularity at the center of the black hole • Once there they will be totally destroyed • But, the Schwarzschild solution has an interesting mathematical structure… • Suggests that particles traveling faster than speed of light can avoid the center • Then pass through a “wormhole” and emerge from a white hole into a new region of “normal” space
(Black Hole) Stuff goes in here … Avoids the Singularity of death … and comes out here! (White Hole)
Do Schwarzschild Black Holes Really Exist? • Probably not… • Real stars do not form Schwarzschild black holes because they rotate! • Full Schwarzschild solution needs existence of “white hole”… these violate key laws of physics (2nd law of thermodynamics). • Even if they did exist, they are unstable! Try to pass through it and it collapses! • An unstable wormhole won’t bring prosperity to your planet.
Rotating Black Holes: The Kerr solution… • Kerr solution • Mathematical solution describing rotating black holes • Applicable to most real black holes in nature • Discovered by Roy Kerr in 1960s • More interesting than Schwarschild solution… • This time, don’t need to travel faster than light to avoid the singularity! • Singularity has a ring structure… enter the wormhole by flying through the ring • Are then propelled from a white hole and emerge into another region of “normal” space.
Can Wormholes form in Rotating Black Holes? • Again, seems unlikely… • White holes still violate physical laws • Wormhole are still unstable • Some researchers think that there is not a “hole” in the ring through which to pass • Never trust a stranger selling “low-mileage” wormholes, although …
There is one in New York (if you know where to look)! Scientific American, Jan 2000
Alright, then let’s build a Time Machine instead • Idea of cause and effect… • Foundation of scientific reasoning • If one event can have an effect on the other event, they are said to be causally-connected. • To have any meaning, the cause must happen before the effect! • This requirement is called causality. • Einstein’s theory of special relativity • What if a signal could be transmitted faster than light speed? • Then Einstein’s Special Theory of Relativity shows that you can change the order of causally-connected events. • Can make effect happen before cause! • This seems to make no sense. We disallow this! • Causality seems to imply that no signal can travel faster than light
Is my Time Machine ready yet? • The big question: Does Einstein’s theory necessarily demand causality? Must Cause always precede Effect? • Surprisingly, and in contrast to everyday experience, this is not at all obvious! • To determine if Time Machines are possible, we probably have to understand the nature of space-time a lot better than we currently do. • Extra Credit Project: Invent a Time Machine (0.5 points - due tomorrow).