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Relativity and Cosmology

This is a Blog on relativity and cosmology for engineers and the like. You are welcome to comment upon or question anything said on my website (http://www.relativity-4-engineers.com), in the eBook or in the snippets I post here.

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Regards, Jorrie

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17 comments

Frame Dragging - First Evidence

Posted March 12, 2007 12:00 AM by Jorrie

Report by NASA's Goddard Space Flight Center, Greenbelt, MD. November 1997.

"Astronomers using NASA's Rossi X-ray Timing Explorer (RXTE) spacecraft reported today that they have observed a black hole that is literally dragging space and time around itself as it rotates. This bizarre effect, called "frame dragging," is the first evidence to support a prediction made in 1918 using Einstein's theory of relativity. Fig. 1 below illustrates the effect.

Fig 1: Frame dragging illustrated:

Drawing Credit & Copyright: J. Bergeron, Sky & Telescope Magazine.

What you see is the accretion disk around a rotating (Kerr) black hole, with the radial paths of photons being offset and bent. Nothing, not even light, can fall "straight in" - the 'frame dragged' spacetime drags everything around with it.

"The phenomenon is distorting the orbit of hot, X-ray emitting gas near the black hole, causing the X-rays to peak at periods that match the frame-dragging predictions of general relativity. The research team, led by Dr. Wei Cui of the Massachusetts Institute of Technology, is announcing its results in a press conference today during the American Astronomical Society's High Energy Astrophysics Division (HEAD) meeting in Estes Park, CO. Collaborators in the research include Dr. Wan Chen of NASA's Goddard Space Flight Center, Greenbelt, MD, and Dr. Shuang N. Zhang of NASA's Marshall Space Flight Center, Huntsville, AL.

"If our interpretation is correct, it could demonstrate the presence of frame dragging near spinning black holes," said Cui. "This observation is unique because Einstein's theory has never been tested in this way before."

"The research team used these X-ray emissions to determine if frame dragging was present. The team found that the X-ray emissions were varying in intensity. By analyzing this variation, they found a pattern, or repetition, that was best explained by a perturbation in the matter's orbit. This perturbation, called a precession, occurs when the orbit itself shifts around the black hole. This is evidence for frame dragging because as the matter orbits the black hole, the space-time that is being dragged around the black hole drags the matter along with it. This shifts the matter's orbit with each revolution."

I must caution Blog readers not to confuse this effect with the "ordinary" precession (or perihelion shift) around non-spinning masses. This precession is 'over and above' - it adds to the precession of elliptical orbits experienced by orbits around static black holes.

In a way the frame dragging precession is easier to understand than, e.g., the perihelion shift of planet Mercury, which is not related to the rotation speed of the Sun at all. (Hmmm… this latter type of precession could be the subject of another Blog post...)

In a future post I will attempt some quantitative data (calculations) on frame dragging - it's pretty hard to get hold of accessible (quantitative) information on strong field frame dragging, so watch this space!

Regards, Jorrie


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#1

Re: Frame Dragging - First Evidence

03/12/2007 5:21 PM

I'm curious, I would expect most black holes in nature to be Kerr type. It's hard to imagine a black hole without spin since everything else (stars) seems to. Why did it take so long for them to find evidence for black holes? What was it about this one that made the frame grabbing noticeable? Was it very big or spinning quickly or something else?

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#2
In reply to #1

Re: Frame Dragging - First Evidence

03/13/2007 2:29 AM

Hi Roger,

Yep, most, if not all, should be of the Kerr type. It took until the early 1990s to confirm the first evidence of the existence of a black hole - they are by nature very elusive objects!

To observe the frame dragging is even more difficult, because the accretion disk (if one exists for the specific hole) is spinning at differential velocities (by distance) around the black hole. AFAIK, in the case under discussion, it was a very specific type of precession of the accretion disk that could only be explained by frame dragging. Accretion disks can precess due to other reasons as well...

After this first one, many other cases of frame dragging have been reported, some by other means, like the peri-apsis shift of a companion star orbiting the black hole at close quarters.

Regards, Jorrie

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#3
In reply to #2

Re: Frame Dragging - First Evidence

03/13/2007 1:52 PM

Hi Jorrie

The press release said "if our interpretations are right..."

Do you know if this has been confirmed? It is one thing to find a period or something that can be best described by frame dragging and quite another thing to prove it!

SL

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#6
In reply to #3

Re: Frame Dragging - First Evidence

03/13/2007 2:32 PM

Hi SL, you asked: "The press release said "if our interpretations are right..."

Do you know if this has been confirmed?"

I haven't got a reference readily at hand, but I feel quite comfortable that the 10 years of analysis and observations after that first one would have refuted the claims if they were not right!

Gravity Probe B has more or less confirmed frame dragging as a fact - still waiting for final results, though. But then, many other observations have also confirmed frame dragging!

Regards, Jorrie

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#4

Re: Frame Dragging - First Evidence

03/13/2007 2:06 PM

Dear Jorrie:

...around non-spinning masses...

This is not a tease, seriously: Are there any non-spinning astro bodies? I was made to believe that any mass out there, even as a matter-cloud is imploding by gravity, starts to spin (or rotate), because of innate imperfection in it's symmetry planes. Isn't it so?

Regards, Yuval

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#5
In reply to #4

Re: Frame Dragging - First Evidence

03/13/2007 2:26 PM

Hi yuvalmate, you asked: "Are there any non-spinning astro bodies?"

I am not 100% sure, but generally, everything spins! Even if a contraction (or implosion, as you said) starts perfectly symmetric, a spin in some or other direction should result.

The only reason I can think of for a astro body not to spin relative to the universe at large, is in collisions or coalescence where the mean angular momentum cancelled out.

Regards, Jorrie

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#8
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Re: Frame Dragging - First Evidence

03/14/2007 6:09 AM

...mean angular momentum cancelled...

Are there any known such occurrences, or this is only permitted by theory?

Such occurrences could be, say, an exploded nebula which is at the resting-point between expanding and condensing?

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#9
In reply to #8

Re: Frame Dragging - First Evidence

03/14/2007 7:00 AM

Hi Yuval, you asked: "Are there any known such occurrences, or this is only permitted by theory?"

I'm not aware of any non-spinning compact structures that has been observed. It may also be that we have not detected the rotations of some compact structures (like black holes) yet.

In some very large structures, like galactic super-clusters, the overall spin may be so slow that it becomes undetectable.

But in theory it is possible for a black hole not to spin - if two identical black holes with precisely opposite spins coalesce to form one black hole, the new one could perhaps be rotation free.

Regards, Jorrie

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#10
In reply to #9

Re: Frame Dragging - First Evidence

03/14/2007 7:39 AM

...detected the rotations of some compact structures (like black holes)...

I understand black-holes are detected by the drag they pull on surrounding matter, and by a halo of x-rays emitted from their suspected coordinates, as they tear or stretch (differentially) the falling matter which heats-up as a result.

My question: can light-shift of x-rays be detected to hint Doppler-effect of rotation?

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#11
In reply to #10

Re: Frame Dragging - First Evidence

03/14/2007 9:14 AM

Hi Yuval, you asked "can light-shift of x-rays be detected to hint Doppler-effect of rotation?"

I don't think the Doppler shift can be used to determine the spin rate of the hole. The accretion disk is spinning at differential rates around any black hole, even if the hole itself is not spinning. As stated in the OP above, it is a characteristic precession of the accretion disk that was used to determine the spin rate of the hole.

Regards, Jorrie

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#7

Re: Frame Dragging - First Evidence

03/13/2007 7:46 PM

Hi Jorrie,

The picture is worth a thousand words. I had not heard the term until your previous post, and was about to ask you if the frame dragged Aether with it, but matter - that's even better.

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#12

Re: Frame Dragging - First Evidence

03/16/2007 4:47 AM

Jorrie,

Looking at the picture in your post, there's something funny. It appears that it is a space curvature picture (space-hyperspace diagram), somewhat like a ruptured trampoline, with the potential well of the black hole going down to infinity...

However, there are jets spewing out something along the spin axis in both directions. I can still buy it if the bottom jet represents matter being dragged into the central singularity, but the top one? It surely cannot spew something into hyperspace?

SL

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#13
In reply to #12

Re: Frame Dragging - First Evidence

03/16/2007 6:12 AM

Maybe photons excited and "guided" by surrounding electromagnetic field?

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#15
In reply to #13

Re: Frame Dragging - First Evidence

03/16/2007 6:19 AM

Hi Yuval

Not only photons, but also particles of matter guided by surrounding electromagnetic field...

As you probably know, the jets are not being spit out by the black hole, but come from just outside the horizon.

Jorrie

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#14
In reply to #12

Re: Frame Dragging - First Evidence

03/16/2007 6:14 AM

Hi SL, you wrote: "I can still buy it if the bottom jet represents matter being dragged into the central singularity, but the top one? It surely cannot spew something into hyperspace?"

Yep, I think the artist used a bit of artistic freedom there! Looks like he combined the hypothetical hyperspace dimension and the ordinary third space dimension for effect. Looks nice, but can be confusing.

The jets spew out into ordinary space and it would have been better if the curved space was not shown, just the dragging of the coordinate frame on a flat surface (which can be viewed as the projection of the curved space onto a flat surface).

Regards, Jorrie

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#16

Re: Frame Dragging - First Evidence

03/18/2007 9:25 AM

I wrote: "In a future post I will attempt some quantitative data (calculations) on frame dragging..."

Due to work-related issues, I haven't hit the proverbial "sweet spot" with the "quantification" of frame dragging yet (the "sweet spot" would be the "engineering spin" on the topic).

So, please be patient and keep on watching this space...

Regards, Jorrie

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#17

Re: Frame Dragging - First Evidence

03/18/2007 10:18 PM

Thanks Jorrie.

It is all still a mystery to me but it is a great mental puzzle to try and grasp. Keep the information pieces coming and I'm trying to build an understandable picture.

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