2020년 9월 3일 목요일

10.02 - 중력 렌즈 현상(Gravitational Lensing)

10.02 - 중력 렌즈 현상(Gravitational Lensing) [커세라 강의 페이지]



When light enters glass, the direction that light travels, changes, or bends is a process called refraction. If the surface of glass is curved appropriately we produce a lens, which can magnify, diffuse, or distort the light rays from objects in the background.


Since gravity causes light to travel in curved spacetime, any object with a gravitational field appears to bend light as a gravitational lens.


The examples that we looked at earlier like this image of the Cheshire Cat galaxy group were cases where the light was emitted far from the closer lensing mass. In this image, the arcs making the smile and outline of the face are images of galaxies lying far behind the eyes and nose galaxies whose mass is warping space-time.


However, if we consider ultra dense stars with gargantuan gravitational fields, the light they emit will also travel on curved paths. Neutron stars are examples of stars with strong enough gravity that they exhibit gravitational lensing. Their emitted light travels part of the way around the star before it can escape to be observed by telescopes.

중성자 별 정도의 중력으로도 중력 렌즈 현상을 일으키는데,

By observing how light is bent around neutron stars we can understand the properties of these stars better which will help us keep from confusing neutron stars or black holes in the future.

중력렌즈 현상을 관측하여 별의 특성을 좀더 이해하는데 도움이 된다. 하지만 중성자별과 블랙홀을 구분을 혼란케하는 요인이기도 하다.

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If you look at my head, you can only see the front of my head and you have no way to know what the back my head looks like, unless I turned around. This is because in situations with weak gravity like here on Earth, light travels on straight paths from my head to the camera. But if my head was really heavy, so that my head had a gravitational field as strong as a neutron star then light originating from the back of my head will travel on a curved path around my head would be captured by the camera.

This would give you a distorted image of my face surrounded by all my hair. As a result, my head would look larger than it really is.

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This animation shows the effect of a neutron star's gravity on the light that it emits. In these cartoon animations, we show a dim star with one bright spot on it.

The left animation shows an image of a star as though it's gravity has no effect on the light that it emits. In this case, we see the hotspot for only half of the rotation period and it is eclipsed when it is on the back side of the star. Since the hotspot appears brighter than the surrounding star, a plot of the overall brightness would increase as the hotspot rotates into view and decreases as it becomes hidden again.

The right animation shows the same star, but now it includes the gravitational effects. The star's strong gravity causes the light emitted by the star to travel on curved paths so that parts of the star that would normally be hidden are distorted into view. The strong gravity allows us to see the bright spot all of the time even when it is on the back side of the star.

The star's gravitational field distorts the circular spot's image, so that it looks like a thin curve, and it allows us to see around the spin poles. Since the hotspot is now visible throughout the rotation of a star, there is much less variation in the overall brightness with time as shown on the graph below the animation.





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The star is rotating so fast that the equator is moving at 30 percent of the speed of light. When the spot is moving towards us, the light it emits is blueshifted, and when the spot is moving away from us, it is redshifted by the Doppler effect. When light is Doppler shifted, there is another relativistic effect called Doppler boosting which makes the blueshifted light appear brighter and the redshifted light appear dimmer.


If you pay attention to the brightness scale on the right, you'll notice that the spot is brightest when it is moving towards us and it is dimmest when it is moving away from us.

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NASA's NICER x-ray telescope is measuring the gravitationally lensed and Doppler boosted light from hotspots on neutron stars. NICER is attached to the International Space Station and observes X-rays emitted by neutron stars with spots as well as black holes.



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Black holes do not have a surface. So, we can't observe hot spots on rotating black holes in the same way that we observe them on neutron stars, but we do know that there are light emitting structures like accretion disks that orbit black holes. Images like this one drawn by artists represent accretion disks around black holes.


In most pictures, the artist has drawn the accretion disk as though the black holes gravity does not warp space-time or the paths that light rays follow. So, we see the accretion disk as flat. But if a neutron star's gravity can distort the paths of light, then a black hole's can too.

This vinyl record represents a crude model of an accretion disk, and the hole at the center represents a black hole. If we ignore the black hole's strong gravity then when you look at this disk the light rays travel from the disk to the camera on straight lines and the disk looks flat. A black hole with an event horizon with the same size as this hole has a Schwarzschild radius of 3.6 millimeters. This corresponds to a mass that is about half of the planet Venus squished into this hole.

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The strong gravity of the black hole will distort your image of the back of the disk, you will still see the front of the disk since the light rays don't have to pass by the black hole in order to get to the camera.

Light emitted by the back of the disk has to travel close to the black hole in order to get the camera. Light from the back is bent by gravity to travel up and over the black hole to the camera, as a result this back curve will appear to look like an arch over the black hole.


But the disk also has a bottom that emits light. Light emitted by the bottom can travel down and below the black hole to get to the camera. The bottom of the disk will look like a second arch below the black hole.

A more accurate drawing of an accretion disk around the black hole will show the disk arching over and below the black hole.

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The movie Interstellar features a view of a supermassive black hole with an accretion disk. The director, Christopher Nolan, wanted to have a fairly realistic view of the disk that includes gravitational lensing. So, he consulted physicist Kip Thorne, who recently shared the 2017 Nobel Prize in physics. The resulting image produced for the movie is shown here.

영화 '인터 스텔라'에서 묘사된 블랙홀

In this image, we can see the front of the disk, the top of the back of the disk, and the bottom of the back of the disk.

강착원반과 중력렌즈가 세밀하게 표현됐다.


However, the black hole created for the movie required some simplifications. First, they wanted a black hole that would be safe for the astronauts to visit. So, they did not include a jet. This suggests that Gargantua is not accreting enormous amounts of matter.

우주비행사의 안전을 고려해 제트 분출은 없는 것으로 했다. 이는 블랙홀 가르간츄아가 물질을 한없이 끌어당기지 않는 것으로 상정한 것이다.

They also chose a colder than usual accretion disk which is only a few thousand degrees Kelvin, so that emits ultraviolet visible and infrared light but practically no harmful X-rays.

또한 강착원반의 온도를 수천도 가량이라고 하여 위험한 X선이 방출은 없는 것으로 했다.

When we looked at the light from a rotating neutron star, we saw the Doppler boosting effect makes the blueshifted side of the star appear brighter than the redshifted side. The accretion disk orbit the black hole at high speeds. The side coming towards you is blueshifted and should appear brighter than the side moving away from you. The director was worried that people watching the movie might get confused if the Doppler boosting effect were included. So, they left it out from the rendering.

블랙홀 모습에서 반쪽만 보여줌으로써 도플러 부스팅 효과를 보여주지 않았는데 관객들의 혼란을 우려했다. 

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This computer animation shows the results of a magneto hydrodynamic computer simulation of an accretion disk around the black hole. The researchers are simulating realistic patterns in the disk which makes it easier to see the motion of the gas.

At the start of the animation we're looking down on the disk and then we move downwards so that we are viewing the disk from just above the plane of the disk.

[강착원반 시뮬레이션 평면도]

The warping effect of gravitational lensing becomes more apparent as we look into the equatorial plane. When we are viewing the disk from the side, we can see that the side that is spinning towards us is brighter than the side spinning away from us.

[강착원반 시뮬레이션 측면도]

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Light near a rotating black hole can travel and curves that maintain a constant distance from the black hole but trace out a spherical shell like the photon in this animation. These paths are unstable, so photon travelling on this path can easily be pushed outwards or inwards.

회전하는 블랙홀 주위를 맴도는 광자들의 운동경로는 매우 불규칙하다. 일부 광자는 안으로 빨려들고 또 어떤 광자는 사건 지평선 밖에서 튕겨나간다.


If they are pushed inwards, the photons can cross the event horizon and become lost inside the black hole. If the photons are pushed outwards, they can escape to be seen by a telescope.

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Recall the black hole's innermost circle orbit for photons, or photon sphere. Photons within the photon sphere travel and spherical orbits sometimes called the 'Ring of Fire'. Within the Ring of Fire, there was a black region called the black hole shadow, a region where light can no longer escape outside observers.

관측 가능한 가장 안쪽의 광자들의 구(Photon Sphere)를 'Ring of Fire'라 부른다. 광구 안쪽의 검은 영역을 '블랙홀 그림자(Black Hole's Shadow)'라고 하는데 사건의 지평선 안으로 빨려들어간 광자들이 더이상 관측될 수 없는 영역이다.


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The  Event Horizon Telescope is a collection of radio telescopes scattered across many locations over the earth. The event horizon telescope is observing Sagittarius A* the black hole at the center of our galaxy and eventually it will become sensitive enough to detect the black hole shadow.


전 지구에 산재한 EHT (사건의 지평선 망원경)은 거대한 전파망원경 배열이다. 우리은하내 궁수자리 A* 블랙홀 그림자의 관측이 목표다.



Computer simulation suggests that Sagittarius A* should look something like this video. This computer simulation shows an accretion disk orbiting around a black hole and shows a ring of fire around a central dark feature.

궁수자리 A*의 컴퓨터 시뮬레이션 모습이다. 블랙홀 주변을 도는 강착 원반과 광구의 모습이 보인다.


However, the image that the Event Horizon Telescope is creating will not look as sharp, since the picture will be averaged over time and there will be blurring due to light scattering off of interstellar gas and dust. This observation will be the most detailed image of the region directly outside of a Black Hole Event Horizon.

EHT로 관측될영상은 성간 물질들의 방해(전파 산란)로 인해 위사진처럼 선명하진 않을 것이다.

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