Physicists discover new way to visualize warped space and time
Two doughnut-shaped vortexes ejected by a pulsating black hole. Also shown at the center are two red and two blue vortex lines attached to the hole, which will be ejected as a third doughnut-shaped vortex in the next pulsation. Credit: The Caltech/Cornell SXS Collaboration
(PhysOrg.com) -- When black holes slam into each other, the surrounding space and time surge and undulate like a heaving sea during a storm. This warping of space and time is so complicated that physicists haven't been able to understand the details of what goes on -- until now.
"We've found ways to visualize warped space-time like never before," says Kip Thorne, Feynman Professor of Theoretical Physics, Emeritus, at the California Institute of Technology (Caltech).
By combining theory with computer simulations, Thorne and his colleagues at Caltech, Cornell University, and the National Institute for Theoretical Physics in South Africa have developed conceptual tools they've dubbed tendex lines and vortex lines.
Using these tools, they have discovered that black-hole collisions can produce vortex lines that form a doughnut-shaped pattern, flying away from the merged black hole like smoke rings. The researchers also found that these bundles of vortex linescalled vortexescan spiral out of the black hole like water from a rotating sprinkler.
The researchers explain tendex and vortex linesand their implications for black holesin a paper that's published online on April 11 in the journal Physical Review Letters.

These are two spiral-shaped vortexes (yellow) of whirling space sticking out of a black hole, and the vortex lines (red curves) that form the vortexes. Credit: The Caltech/Cornell SXS Collaboration
Tendex and vortex lines describe the gravitational forces caused by warped space-time. They are analogous to the electric and magnetic field lines that describe electric and magnetic forces.Tendex lines describe the stretching force that warped space-time exerts on everything it encounters. "Tendex lines sticking out of the moon raise the tides on the earth's oceans," says David Nichols, the Caltech graduate student who coined the term "tendex." The stretching force of these lines would rip apart an astronaut who falls into a black hole.
Vortex lines, on the other hand, describe the twisting of space. If an astronaut's body is aligned with a vortex line, she gets wrung like a wet towel.
When many tendex lines are bunched together, they create a region of strong stretching called a tendex. Similarly, a bundle of vortex lines creates a whirling region of space called a vortex. "Anything that falls into a vortex gets spun around and around," says Dr. Robert Owen of Cornell University, the lead author of the paper.
Tendex and vortex lines provide a powerful new way to understand black holes, gravity, and the nature of the universe. "Using these tools, we can now make much better sense of the tremendous amount of data that's produced in our computer simulations," says Dr. Mark Scheel, a senior researcher at Caltech and leader of the team's simulation work.
Using computer simulations, the researchers have discovered that two spinning black holes crashing into each other produce several vortexes and several tendexes. If the collision is head-on, the merged hole ejects vortexes as doughnut-shaped regions of whirling space, and it ejects tendexes as doughnut-shaped regions of stretching. But if the black holes spiral in toward each other before merging, their vortexes and tendexes spiral out of the merged hole. In either casedoughnut or spiralthe outward-moving vortexes and tendexes become gravitational wavesthe kinds of waves that the Caltech-led Laser Interferometer Gravitational-Wave Observatory (LIGO) seeks to detect.
"With these tendexes and vortexes, we may be able to much more easily predict the waveforms of the gravitational waves that LIGO is searching for," says Yanbei Chen, associate professor of physics at Caltech and the leader of the team's theoretical efforts.
Additionally, tendexes and vortexes have allowed the researchers to solve the mystery behind the gravitational kick of a merged black hole at the center of a galaxy. In 2007, a team at the University of Texas in Brownsville, led by Professor Manuela Campanelli, used computer simulations to discover that colliding black holes can produce a directed burst of gravitational waves that causes the merged black hole to recoillike a rifle firing a bullet. The recoil is so strong that it can throw the merged hole out of its galaxy. But nobody understood how this directed burst of gravitational waves is produced.
Now, equipped with their new tools, Thorne's team has found the answer. On one side of the black hole, the gravitational waves from the spiraling vortexes add together with the waves from the spiraling tendexes. On the other side, the vortex and tendex waves cancel each other out. The result is a burst of waves in one direction, causing the merged hole to recoil.
"Though we've developed these tools for black-hole collisions, they can be applied wherever space-time is warped," says Dr. Geoffrey Lovelace, a member of the team from Cornell. "For instance, I expect that people will apply vortex and tendex lines to cosmology, to black holes ripping stars apart, and to the singularities that live inside black holes. They'll become standard tools throughout general relativity."
The team is already preparing multiple follow-up papers with new results. "I've never before coauthored a paper where essentially everything is new," says Thorne, who has authored hundreds of articles. "But that's the case here."
More information: Physical Review Letters paper: "Frame-dragging vortexes and tidal tendexes attached to colliding black holes: Visualizing the curvature of spacetime" - http://arxiv.org/abs/1012.4869
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Apr 11, 2011
Rank: 5 / 5 (2)
Would an observer on the surface of the Black Hole feel an associated acceleration as the Black Hole recoils, or is this, somehow, an example of reaction-less, or inertial-less, propulsion?
Apr 11, 2011
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Apr 11, 2011
Rank: 4 / 5 (8)
Given that the origin of inertia isn't clearly understood, I have a feeling that this is actually a very difficult question to answer.
Very interesting theoretical work. Hopefully this can lead to new ways to test gravitational theory.
Apr 11, 2011
Rank: 5 / 5 (1)
Just curious,
Apr 11, 2011
Rank: 5 / 5 (2)
SincerelyTwo: As far as science knows at this time - in vacuum, yes. (I mean, it equals the speed of light in vacuum).
Apr 11, 2011
Rank: 1 / 5 (1)
Well, as it's a reaction to engery expulsion, I don't think the equivalence principle applies. I would think the black hole does experinece an acceleration.
Not exactly, as there is an opposite and equal reaction in the kinetic energy taken away by the gravitational waves. However, it essentially amounts to the same thing, from our perspective. If we could duplicate this effect (perhaps with magnetic fields?), it just might lead to some very interesting results.
Apr 11, 2011
Rank: 5 / 5 (8)
I believe it was about 5 years ago, an experiment using an occultation proved gravity propagates at C and not instantaneously as argued.
Apr 11, 2011
Rank: 5 / 5 (1)
To elaborate on what I'm trying to ask; Will sufficiently dense matter, such that it becomes degenerate, change the interactions of elementary particles? Specifically how is the higgs boson going to be affected? Would there be unexpected consequences on the deformation of space-time due to those changes? Specifically such that the results deviates from the predictions that come from the geometry of special relativity?
As far as I can tell the Standard Model assumes fundamental interactions are going to operate as they do in experiments we've conducted on earth, which does not incorporate the possibility that fundamental interactions may be affected by extreme and unusual conditions (where singularities and infinites manifest).
Thoughts?
Apr 11, 2011
Rank: 3.7 / 5 (6)
Most of the work done at this level is guess work, using some enormous pile of assumptions as a starting point. There is a mountain of evidence to support most of the assumptions, but in the end any one of them could be dead wrong resulting in pieces of our model falling apart.
At the risk of being repetitive, hopefully this work will lead to developing a test to support our theories of gravity. But how do you measure if spacetime is warped if you are too? (nod to uba)
Apr 11, 2011
Rank: not rated yet
That's exactly why I don't like people announcing it like it is the truth, when this is just a model based on our current understanding that is admittedly EXTREMELY limited.
I made a comment on this story, with that same exact argument. Too many things are being assumed, and you know what they say about that.
Apr 11, 2011
Rank: 4.8 / 5 (4)
Apr 11, 2011
Rank: 5 / 5 (1)
Well, assuming we ignore the fact that the effects on you from sitting at the event horizon will most likely deter your attention away from the other forces, you should not feel any acceleration. You may feel tidal forces ripping you apart though. The acceleration you "feel", like in an accelerating car or a plane taking off, is a result of you, being an object at rest in an inertial frame, being pushed by the accelerating object (the back of your chair) as the vehicle pushes against the "stationary" inertial frame. If the inertial frame itself is being distorted (as is the case with gravity), you are part of that inertial frame and you move freely with it.
(continued...)
Apr 11, 2011
Rank: 5 / 5 (1)
In the gravitational recoil, in essence, the definition of "where you are" changes from outside observers. Inside the distortion, you notice nothing particularly different, except that the universe outside of your local area seems to recoil around you. You "feel" as if you're stationary, just as you "feel" you're stationary inside a closed box that's in free fall, experiencing only small tidal forces, but no "acceleration".
Of course, near the vicinity of a black hole, tidal forces are enormous as you'd be compressed, stretched, and twisted. These are the results of different parts of your body experiencing different amounts of spacetime distortions. In /that/ sense, you could call it "experiencing acceleration", but not quite like you meant in your question.
Hope that helps.
Apr 11, 2011
Rank: 5 / 5 (3)
To the best of our knowledge, gravity (and distortions due to gravity) propagate at c.
Apr 11, 2011
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Apr 11, 2011
Rank: 3.7 / 5 (3)
Distortions of spacetime are gravity, so ya, they travel at c. Correct me if I'm wrong, but I believe that "space propagating" is an undefined term... that the phrase has no meaning.
Apr 11, 2011
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Apr 11, 2011
Rank: 0.8 / 5 (47)
Apr 11, 2011
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That would make sense then.
Apr 11, 2011
Rank: 5 / 5 (3)
Movement is a relative term. From the point of view of any object floating freely in space, the object "believes" it is stationary. To overly simplify it; "Movement" can only be determined if two objects are approaching or receding. Each object, itself, may believe /it/ is stationary and the /other/ object is "moving". They're both right.
There is no "anchoring" of objects to spacetime as that would require absolute space, which doesn't exist.
For a more in-depth understanding, here's a GREAT book by Einstein himself explaining, in layman's terms, these very concepts:
http://www.amazon...p;sr=1-2
Apr 11, 2011
Rank: 1 / 5 (4)
I do not understand why Scientific Community take too long to comprehend Milkyway Galactic frame and understand Universe Concepts.
1. Universal Plasma energy Model-IEEE-ICOPS-1991
Provides-Plasma occupies the shape of the body and much more
It implies Space-Time-Enegy-Plasma-Regulated Electromagnetic Universe-see book-1995 by me
2. My articles on new concepts- see Cosmologyreview [dot] com -website-Dec 1999
3. Cosmic Pot Energy Universe-STSCI-Astrophysical Lab Symposium-May 2003
Warped space time concepts need to search further- Fields,Flows,Source and Reflector concepts introduced in my books and Research papers
Astronomy to Cosmology studies need to go a longway
Apr 11, 2011
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Apr 11, 2011
Rank: 1 / 5 (1)
Ignoring the extreme forces of the black hole, this article essentially states it undergoes a burst of proper, energetic acceleration ("like a rifle firing a bullet."). Therefore, the acceleration effects should be "felt" by the black hole.
It essentially depends on whether the black hole is accelerating by falling, or is forcefully accelerated. As gravitational waves carry momentum/kinetic energy, the latter certainly seems plausible.
The model described in the paper clearly states the gravitational waves are taking momentum away in the -z direction, so the black hole is kicked in the +z direction.
So it looks like it's forceful acceleration, rather than free-fall acceleration.
Apr 11, 2011
Rank: 1 / 5 (1)
"looks like"? What causes inertia?
I'd like to throw something out there, again. Go hit wikipedia for "inertia" and look at "Source of Inertia".
Anyway, I am just not sure you can ignore the extreme forces of the black hole to determine whether you would "feel" the kick caused by the directed gravitational forces. Especially since the extreme forces and kicker are the same thing.
Anybody aware of observations supporting that merging black holes actually do this? Or are these just predictions from a simulation? (Smells like broken limits of relativity to me.)
((@Justsayin, I wish I could rate you a 10!!!))
Apr 11, 2011
Rank: 5 / 5 (2)
Im actually headed up to LIGO next weekend on a field trip. Hope to get someone to explain this to us a little better.
Apr 11, 2011
Rank: not rated yet
As soon as you see one, do let us know.
Apr 12, 2011
Rank: 2.3 / 5 (3)
Technically, I wouldn't feel anything on a black hole (as I would be dead). That's why I defined it between proper and free-fall acceleration. It's essentially accelerating like a rocket.
Here's a reference:
http://news.disco...axy.html
Ditto that.
Apr 12, 2011
Rank: 1 / 5 (1)
Please, let us know how it goes.
Apr 12, 2011
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Would you "feel" it? No, you would be dead. But inertia still applies, and it would be measurable assuming sturdy enough measuring devices.
Apr 12, 2011
Rank: 3 / 5 (4)
I'm not sure. What I will suggest is that until we understand the source of inertia it would be difficult to predict what would happen in this situation. There are several competing theories about the origin of inertia including, but not limited to, that it arises because of gravitational effects, energy resulting from information loss relating to a particle's light cone, or interaction with the EM zero point field. If black holes truly are singularities, any of these theories would have a hard time to predict or even define whether or not the proposed acceleration would be "inertia-less".
Nice link. I do remember this. Just forgot. Thanks.
@Decimatus:
I think a very important distinction.
Again, don't be too sure about that when discussing singularities.
Apr 12, 2011
Rank: 2.3 / 5 (3)
Apr 12, 2011
Rank: 2.3 / 5 (3)
Not so fast. Quantum gravity is still out there. Death to the equivalence principle!
But yeah, I am just trying to broaden the conversation.
Apr 12, 2011
Rank: not rated yet
Assuming your acceleration is due to gravity, and not a rocket strapped to your back, this is incorrect. By definition, you're local spacetime is "stationary" as are you in it. Your local spacetime may change relative to more distant spacetime, as measured by an outside observer, but you would not and could not "feel" it because by all local measurements, nothing special is happening, other than tidal forces.
There's not enough space here to describe why, so I wrote a blog post on it here:
http://csharpner....eel.html
Hope that helps.
Apr 12, 2011
Rank: not rated yet
The rifle analogy wasn't meant to be a 100% analog of the effect. A bullet would "feel" it as the explosion pushes against the bullet's mass. Acceleration due to gravity doesn't have that effect and they didn't intend the rifle analogy to be taken quite that literally.
The "kick" is gravitationally caused, meaning there's no mass pushing against other mass (which is what would cause it to be "felt"). It's simply spacetime itself being warped in the vacinity of the black holes, and they remain in their local spacetime, but that local spacetime is moving relative to "outside" spacetime. Any "movement" caused by gravity can't be "felt".
Apr 12, 2011
Rank: 5 / 5 (2)
"Anybody aware of observations supporting that merging black holes actually do this? Or are these just predictions from a simulation? (Smells like broken limits of relativity to me.)
Here's a reference:
http://news.disco...axy.html "
The object discovered by Jonker et al is only a *candidate* recoiling SMBH (The discovery papers' title says it all: A bright off-nuclear X-ray source: a type IIn supernova, a bright ULX or a recoiling super-massive black hole in CXO J122518.6+144545): http://arxiv.org/...79v1.pdf
AFAIK there are no unequivocal observations of a recoiling SMBH, though several other candidates are mentioned in the paper(pg 2).
Apr 12, 2011
Rank: 2.3 / 5 (3)
Apr 12, 2011
Rank: not rated yet
Interesting. I'll have to look at the paper. This article talks only of gravity, but the articles on this site frequently have their meaning summarized out.
Apr 12, 2011
Rank: 1 / 5 (5)
Despite the mainstream propaganda, even Einstein didn't believe in gravitational waves originaly. As Eddington - the close friend of Einstein - pointed out already before many years, gravitational waves do not have a unique speed of propagation. The speed of the alleged waves is coordinate dependent. A different set of coordinates yields a different speed of propagation and such waves would propagate like noise. In 1944 Hermann Weyl proved in explicit way, that linearisation of the field equations implies the existence of a Einstein's pseudo-tensor that, except for the trivial case of being precisely zero, does not otherwise exist.
http://www.jstor..../2371768
Apr 12, 2011
Rank: 5 / 5 (3)
I was wondering when you'd pop in with your impossible to read odd grammar and your "dense aether theory".
Apr 12, 2011
Rank: 5 / 5 (4)
Apr 13, 2011
Rank: 1 / 5 (1)
Yes indeed, should have mad that clear.
As for distortions in space time being "gravity" well that's true and not true. AFAIK that's Einsteins concept, but quantum mechanics would argue that gravitons or some other force carrier is involved. Do you know for sure which is the correct view?
I'm talking about things like frame dragging and more extreme distortions of space-time than the simple and common thing that keeps us rooted to Earth or the moon in motion around us. If you distort space and change distances then you monkey with speeds (including that of light) by the very nature of the concept.
Apr 13, 2011
Rank: 4 / 5 (4)
I corrected your misstatement.
Apr 13, 2011
Rank: not rated yet
Gotcha! Thanks.
eh, uh, hmmmm. Yes and no, depending on how you mean. I won't get into that at the moment though. Frame dragging, et al shouldn't have any impact on "feeling" acceleration. It's still distortions of spacetime and if you're in it, you don't feel it. Your inertial frame is being distorted and you may feel twists and such, but if your inertial frame is changing position relative to an external inertial frame, outsiders would view you as "accelerating", but you don't. You "feel" stationary (and you are). From your point of view, the universe is being displaced while you sit still and it is THEY who are accelerating. You're both right and neither of you "feel" it.
Apr 13, 2011
Rank: 1 / 5 (1)
Not true on account of time dilation.
Apr 13, 2011
Rank: not rated yet
This is what prompted my question, though there is no way I could articulate it as well. Thanks.
Apr 13, 2011
Rank: 1 / 5 (1)
Think more wormhole and less vessel approaching the speed of light...
But yes you're correct on the latter.
Space itself is changing and moving, not mass moving through space.
At least that's closer to the concept I was attempting to convey, I still could be wrong...
Apr 13, 2011
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Apr 14, 2011
Rank: 1 / 5 (1)
At the very least black holes would be good "machines" to get a spacecraft accelerated to near light speeds which in itself is VERY useful...
Apr 18, 2011
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