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ensabah6
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Does electrical-magnetic fields curve spacetime? Is there time dilation effects in em fields on charged particles?
Not just mass but also energy and pressure contribute to the curvature of spacetime. So the answer is yes.ensabah6 said:Does electrical-magnetic fields curve spacetime?
I think that is incorrect.HallsofIvy said:A non-charged, not-magnetic object is not affected by an electro-magnetic field and follows the same path as if there were no electro-magnetic field. If spacetime were curved by the field that would not be the case.
ensabah6 said:Does electrical-magnetic fields curve spacetime? Is there time dilation effects in em fields on charged particles?
No, GR is a background independent theory. Only the simplest spacetimes can be described with operations over a fixed background.gonegahgah said:Can we represent n-body space-time pictorially? Is there a common space-time landscape through which everything travels; even the sources themselves?
No, a universe contains only one particular spacetime.gonegahgah said:In other words there are lot's of independent unconnected space-times; not just a single common space-time field that varies throughout. As to how I should apply that I'm not sure yet.
It is true that, except for the simplest spacetimes, it is impossible to describe spacetimes by an analytical solution.gonegahgah said:From what I've seen a mass distorts space-time; and another mass distorts space-time; but it doesn't seem possible to simply combine their two distortions?
If so then each gravitational body must have its own private space-time surrounding it that other bodies travel through; as a common space-time landscape may not be achieveable.
No, a universe contains only one particular spacetime.
Yes. The stress-energy tensor, which is the source of the gravitational field in general relativity, has portions from the electromagnetic field (as well as, in principle, from any other field).ensabah6 said:Does electrical-magnetic fields curve spacetime?
To expand on this: http://en.wikipedia.org/wiki/Electromagnetic_stress-energy_tensor"xantox said:Yes. The stress-energy tensor, which is the source of the gravitational field in general relativity, has portions from the electromagnetic field (as well as, in principle, from any other field).
No, this is not a problem. Didn't you see my explanation above:gonegahgah said:Both would struggle with hills in the middle that are somehow defied.
DaleSpam said:when you add a second large mass then the "sum" of the two valleys results in each mass being slightly off of the deepest point in the valley. They therefore go downhill towards each other despite the fact that between them there is always a "saddle-ridge".
gonegahgah said:how do the two main masses also drift towards each other - as they do - defying the hill? So obviously the object in the middle sees a different landscape to the two masses. It sees a hill top where the two masses don't see that hill top and instead see a down-hill slope all the way towards each other; in defiance of each other's downhills.
It is a local maximum in one direction (the line from one mass to the other) and a local minimum in the other direction (the perpendicular bisector of the first line).gonegahgah said:Sorry Dale, what's a saddle-ridge?
Here is a picture of a http://en.wikipedia.org/wiki/Image:Saddle_point.png"gonegahgah said:Can you provide me with a picture Dale? I don't understand.
Naty you talk of generic local spacetimes & of still only one space-time fabric in the same post.
DaleSpam said:I like the hill and valley analogy, but it is probably more appropriately used to understand Newtonian gravity than GR. In Newtonian gravity the "altitude" of a given location would represent the gravitational potential at that location. In your scenario, one large mass by itself rests at the bottom of a deep valley, but when you add a second large mass then the "sum" of the two valleys results in each mass being slightly off of the deepest point in the valley. They therefore go downhill towards each other despite the fact that between them there is always a "saddle-ridge".
The difference with GR and Newtonian gravity is that with Newton the solution of the two masses is simply the sum of the solutions for each individual mass, but the same is not true for GR.
Actually it does, at least temporarily. The http://hyperphysics.phy-astr.gsu.edu/hbase/HFrame.html" which is proportional to B². You can think of the reason that a north pole attracts a south pole is that such a configuration reduces the B field and therefore leads to a lower energy state. Similarly with the attraction to a piece of steel, the magnet's field causes the microscopic magnetic domains in the steel to orient themselves with the external field, North to South, so as to reduce the total field and cause a lower energy state. So you cannot, even in theory, use the magnet to do more work lifting an object than is contained in the magnet's field.gonegahgah said:The steel doesn't use up any of the magnetism that passes through it does it?
I don't know, I would have to work the math. By symmetry, if it is not at the center then there must be three equally-deep wells near the masses.Antenna Guy said:If three masses are placed at the corners of an equilateral triangle, and the "force" on anyone corner can be determined using the "center of gravity" of the other two corners, does the "deepest point in the valley" occur at any individual mass - or the "center of gravity" of the system?