That's kind of my point of researching this. It doesn't make sense to me that there would be some infinitesimal parts of spacetime that wouldn't radiate at least a minute amount of gravitational radiation.
Also: the coordinate system itself would be what holds gravity back between the foci. I...
Thanks for the input.
I opted for toroidal coordinates because of the symmetry along the "orbital" plane of the foci. In this case the sin^2 in the metric tensor is sinh^2, otherwise the same.
I probably shouldn't have marked this as "advanced", but I didn't know what level to choose. What...
Sigma is the angle <F1 P F2
Tau is the logarithm of the ratio of the distances d1 and d2 from the foci.
Phi is the standard azimuthal angle.
The foci are located at +a and -a from origin, on the z axis.
Here's the wiki link
https://en.wikipedia.org/wiki/Bispherical_coordinates
*update* I'm...
Just a thought...
Would there be any implicit differences between (A) a two-body metric where the two central masses are drawn ever further together, with angular momentum included, and (B) the Kerr metric? Angular momentum would still be part of the system, but it would be explained by a more...
Okay. well, since nucleons are made of three quarks, one of which has a different electric charge, at any point in time the nucleons must have an instantaneous dipole moment, right? Can this be useful to study their motion?
Do you think it would be possible to use a beam of neutrinos to probe the structure of atomic nuclei? Since they do not interact electronically, they would be useful to study the structure of both neutrons and protons, either through gravitational deflection or weak interactions.
Could this...
But relative to the particles ahead of the observer near an event horizon, the distance between the two would be streched. And this would apply to each subsequent particle closer to the horizon. So from any real viewpoint, nothing ever reaches the boundary. Is this different than general...
So what exactly is time dilation? Doesn't gravity slow each particle's 'clock' as they approach the source? I have been under the impression that as a particle's movement through space increases, its world-line is skewed so that it takes a path almost perpendicular to the time axis. I noticed...
Also, it seems like this would imply that there is no point where escape is impossible, as nothing crosses the event horizon. This would make it easier to fit black holes into accepted theories of thermodynamics, as information never really becomes inaccessible, just highly fixed.
Now, about...
I don't like the idea of anything crossing the event horizon of a black hole from any observer's view point. The closer something gets to the event horizon, it either appears to slow down, or the event horizon appears to stretch and move further away. How can anything cross it?
For this...
Time is just another spatial dimension, as I see it. We only perceive if as constantly moving forward because our consciousnesses are formed from differences in its topology over a span of coordinates. I equate its seeming seemlessness to the same forces that make multiple atom thick layers of a...