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  • On November 22, 2014

  • a burst of x-rays was detected by ASASSN

  • that's the All Sky Automated Survey for Super Novae

  • but this was no supernova

  • the signal came from the center of a galaxy around 290 million light-years away

  • and what we now belive happened was a star came too close to a supermassive black hole

  • with a mass millions of times that of our Sun and it was eaten

  • The black hole fed on the star

  • and yes, this is the actual termenology astrophysicists use to describe it

  • Events like these are thought to be rare

  • occurring maybe once every 10,000 to 100,000 years in a galaxy

  • they're called Tidal Disruption Events, or Tidal Disruption Flares

  • as the star approached the side closest to the black hole experienced a much gravitational pull than the other side,

  • ripping the star to shreds

  • matter spiraling into the black hole formed an accretion disk

  • an annular ring of gas and dust

  • that's accelerating and heating up emitting visible light

  • UV and X-rays observable from Earth

  • Now what's remarkable about this event is that it transformed a dormant

  • or quiescent black hole

  • one that wasn't really feeding into one that we can observe

  • thanks to the matter falling in from that star

  • and is what it looked like

  • Okay if you're disappointed,

  • check out these artists renditions of the same event

  • but if you're cynical you might say

  • "Well how do we know that's what really happened?

  • what if the scientists are just making this up to get more grant funding

  • or to inspire people to go into science"

  • well I'll explain how we know this is actually what went down

  • but first things got wierder

  • scientists trained three X-ray telescopes to observe this part of the sky for years after the event

  • and what they found was a strong and regular pulse of X-rays

  • brightening and dimming every 131 seconds

  • and it shows up in the data from all three telescopes

  • they observed periodically over 450 days

  • but the pulse maintained this rhythm and didn't get weaker

  • in fact as time went on the relative strength of the pulse got stronger

  • modulating the X-ray signal by around 40%

  • and what was causing these periodic flashes of X-rays

  • and what could it tell us about the black hole

  • well let's back up

  • because black holes are some of the simplest objects in the Universe

  • by that I just mean that they are characterized by only two attributes

  • Mass and Spin

  • Okay, there's also charge

  • but since black holes should essentially be neutral mass and spin

  • are the two that count

  • mass is relatively easy to determine

  • far away from a black hole, you can even use Newtonian physics.

  • By measuring the gravitational effects of the black hole on other bodies

  • you can estimate the mass of of the black hole

  • this has been done and black holes been found with masses ranging from

  • just few times our Sun, stellar-mass black holes,

  • up to billions of solar masses -- supermassive black holes

  • it's generally accepted that there is a supermassive black hole at the centers of most galaxies, including our own.

  • But what about spin?

  • since black holes form from collapsing stars and all known starts rotate,

  • all black holes should also be rotating

  • I mean, what are the chances that a bunch of matter just collapses into a point perfectly with no rotation?

  • It's just not going to happen.

  • And then additional matter falling into the black hole contributes its angular momentum.

  • So like a figure skater pulling their arms into a... point object,

  • You can imagine black holes get spinning pretty fast.

  • But spin is harder to measure because unlike mass, it only affects objects relatively close to the black hole.

  • But there is a way to do it. Actually, 3 ways.

  • To understand all of them, you have to understand isco.

  • In Newtonian physics, around a compact mass,

  • you can place an object in a circular object at any radius and it will be stable.

  • It doesn't matter how close you get.

  • This is not the case according to general relativity.

  • Here, there is an innermost stable circular orbit,

  • With a radius know as r-isco.

  • Closer than this, and no orbits are stable: they all fall into the black hole.

  • So when you're looking at a black hole that is feeding, the innermost edge of the accretion disk is at r-isco.

  • What's useful for our purposes is that r-isco depends on the spin of the black hole.

  • The faster it's spinning, the smaller r-isco becomes.

  • Assuming it's spinning in the same direction as the matter in the accretion disk.

  • The rotation enables particles to orbit closer to the black hole,

  • than they'd be able to for a non-spinning black hole.

  • So you can kind of think of it as though the spin is supporting the particles against the relentless pull of gravity.

  • Now spin is normally discussed in terms of a dimensionless parameter

  • that ranges from 0, no spin, to 1, maximum spin.

  • Though I guess you could also have spins down to -1 if the black hole is spinning in the opposite direction from the accretion disk.

  • Now, as spin increases, r-isco decreases.

  • by a factor of 6, shrinking down to the size of the event horizon.

  • And this sets what many scientists think is the maximum spin a black hole can have.

  • Because if the minimum stable orbit were the size of the event horizon,

  • Then light could escape from the black hole, allowing us to see into the singularity.

  • This is called a naked singularity, and it makes a lot of scientists uncomfortable.

  • As yet, there isn't a strong theoretical reason why a black hole can't exceed this maximum spin,

  • It's just that we haven't seen one, and the thought of an exposed singularity just kind of... feels wrong.

  • Most suspect the maximum real-world spin parameter is around 0.998.

  • So how can you use r-isco to measure the spin of a black hole?

  • Well first, let's think of how we measure the size of anything far away from us in deep space, like the radius of a star

  • Most stars are so far away that they're simply point objects in our telescopes.

  • So how can you figure out their radii?

  • Well, first, look at the spectrum of their light.

  • By seeing how red-shifted absorption lines are, you can determine how far away the star is.

  • The spectrum also tells you the temperature of the star --

  • Because it should approximate a black-body curve.

  • And now the power radiated per unit area is strongly dependent on its temperature.

  • So if you know how bright the star appears from Earth,

  • how far away it is, and how much power its radiating per unit area,

  • Well, then you could work out its area and hence its radius.

  • You can actually so something very similar for a black hole's accretion disk.

  • Just instead of estimating the radius of a glowing sphere,

  • you're estimating the radius of the dark circle, r-isco, in the middle of the glowing accretion disk.

  • Then you can use r-isco to find the spin parameter.

  • This has been done for a number of black holes, revealing spin parameters from around 0.1 up to close to the maximum.

  • But this method only works if the radiation from the black hole is dominated by black-body radiation from the accretion disk.

  • which, often, it's not.

  • Another approach involves looking at x-rays emitted by iron around a black hole.

  • Some black holes show a distinct iron emission line.

  • But instead of the single frequency you'd expect,

  • the line is broadened by factors like the Doppler shift due to the high velocity of the iron in the accretion disk.

  • and gravitational redshift, due to the extreme gravitational fields close to the black hole.

  • By looking at the low-energy limit of the iron emission line,

  • you can determine how close the black hole it was emitted.

  • And hence, r-isco.

  • But what if there is no bright iron emission line?

  • Well, luckily, there is a third way.

  • And that, is to look for periodic oscillations in the data.

  • Like the repeated x-rays observed every 131 seconds.

  • The thinking is, these cycles must be caused by clumps of matter orbiting the black hole.

  • And at frequencies that high, they must be orbiting very close in, probably near r-isco.

  • Even that close, they'd be going half the speed of light.

  • But what kind of clumps or objects would these be?

  • Well the study's authors argue that the best candidate involves an unlikely scenario:

  • Years before the tidal disruption event, they propose that there was a white dwarf start in orbit around this black hole.

  • Now, it might be stable, orbiting in this way, for perhaps one or two hundred years.

  • By itself it wouldn't be visible from Earth.

  • But then the other star wondered by, and was ripped apart in the tidal disruption event.

  • Its mass fell in towards the black hole forming an accretion disk.

  • With the addition of this stellar debris, the white dwarf was cloaked in glowing matter,

  • creating an x-ray hotspot orbiting the black hole, and its period would directly relate to the spin of the black hole.

  • In this case, the measured spin parameter turned out to be at least 0.7 and possibly as high as the theoretical maximum of 0.998,

  • meaning objects in the accretion disk were going at least half the speed of light.

  • This is the first measurement of spin made possible by a tidal disruption event.

  • The implication is that this could provide a method for determining the spin of black holes.

  • Particularly ones that have been dormant, which is about 95% of supermassive black holes.

  • If they shred a star, we get insight into their spin.

  • Now why is this important? Well, because it helps us understand the origins of black holes.

  • If supermassive black holes grow in size mainly by feeding on a steady stream of matter from within their own galaxy,

  • You'd expect their spins to be very large, because the angular momentum of that matter would be more or less aligned.

  • so it would add up over time.

  • But if instead, supermassive black holes grow predominantly by merging with other black holes,

  • You might expect their spins to be lower, because the spins of two black holes are likely to be randomly oriented rather than aligned.

  • As we are able to measure the spins of more black holes in different ways, farther out and therefore further back in time,

  • We should be able to better understand their growth.

  • And since supermassive black holes lie at the center of most galaxies,

  • They also lie at the center of an understanding of how those galaxies have formed and evolved over billions of years.

On November 22, 2014

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旋轉的黑洞 (Spinning Black Holes)

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