Gravity Wave Equations?

I can’t seem to googlize a gravity wave equation for graviton radiation, rather than bouyancy waves which it keeps bringing up.

Does anyone know, have a book on, or know a site with Gravity Wave Equations for working out the theoretical energy lost during mass acceleration through space-time?

I’d like to know mass to energy lost equations and predicted wavelength of gravity waves based on mass size and acceleration.

Also, does anyone know how gravity waves lose their energy? I would suspect that as a gravity wave moves past a body it exerts a force on the body (through space-time distortion), the body accelerates and the gravity wave should (have less distortion) increase in wavelength (lose energy). Does this sound logical?

The Bible of gravity is Gravitation by Misner, Thorne & Wheeler. Try your local university library.

An easier one is by Hans Ohanian.
p. 165

Energy radiated by mass m falling into Black Hole of mass M
= (2/105) mc^2 (m/M)

You might have better luck in Googling if you search for gravitational wave equation rather than gravity wave equation. A gravity wave is (as you discovered) a surface wave between two media where gravity is the restoring force; a gravitational wave is the actual space-time distortion you’re looking for. (This is the accepted terminology, probably for historical reasons. I’d guess the distinction was made just so people could do keyword searches like this.)

I don’t think that an exact solution has ever been found for the Einstein equations for gravitational waves, by the way. The problem is that it’s difficult to localize the energy in a gravitational wave. What’s usually done is to treat the space as being a flat background, with a little bit of curvature on top of it. So long as the deviation from flatness is small, this works well. For instance, a gravitational wave of the sort we expect to detect at Earth would have an amplitude of about 10[sup]-80[/sup], which is small by almost anyone’s standards, so this is an excellent approximation. On the other hand, if you’re right next to a pair of merging black holes, the amplitude is close to 1, so other methods have to be used.

As far as energy loss, whenever gravitational waves pass any matter, they’ll lose a little bit of energy, causing the matter to move (as you said). The two things that you missed, though, are that it’s the amplitude which changes, not the wavelength, and that in any event, the energy lost is absolutely miniscule. For comparison: If you sent a stream of neutrinos (the most weakly interacting of the “standard” particles) through a slab of lead a light year thick, you’d lose about half of your neutrinos. If you sent a gravitational wave through that same slab, you wouldn’t even be able to tell the difference, on the other side.

This has very important implications for cosmology: Using light, the earliest things we can see in the Universe happened about 300 000 years after the Big Bang: Prior to that, the Universe was opaque to light, so any light produced earlier than that would have been absorbed again. Using neutrinos instead of light, we can push that back to about 200 000 years. Using gravitational waves, we should be able to see things that happened a small fraction of a second after the beginning.

Aha!! After googlizing ‘gravitational wave equations’ I found the following page with exactly what I wanted and more :smiley:

http://arcturus.mit.edu/8.224/GravWavesFINAL.pdf

Thanks Chronos, :smiley:

There is no energy in the gravity field. The gravity acts through changes in the dielectric values of absolute vacuum, which in gravity has a higher value as you go lower down. Due to this higher value of the dielectric property the energies of the same electrical assemblies, which is the basic structure of matter, the rest energy is less. The difference in energy appears as the kinetic energy when a body falls freely in gravity.

Since the gravity itself has no energy there can be no energy in the field changes of gravity that would appear as equivalents of radiated waves. Gravity waves are only a re-adjustment of the dielectric value regime and whatever movements that this would entail would be generated entirely from the rest energies of those moving bodies, as happens in normal gravity phenomena.

The instruments that have been designed and are at present looking for gravity waves cannot detect such dielectric changes and so no gravity waves have ever been detected and never will be. The entire design for search for gravity waves needs to be put on the right lines.

The changes in dielectric values of vacuum are similar to the apparent changes in similar values in presence of matter as seen in high voltage transmission lines. These changes arise due to the rotation of electric dipoles. This means that the transmission of these gravity oriented dielectric changes would also appear to travel at the velociy of propagation of electric waves at any given point in space. This velocity is not the same, as assumed by Relativity Theory, at all points but follows the changes in doelectric values as per Maxwell’s equations.

The movements of gravitating masses would have some Fourier components and the wavelengths would be the velocity of ligth there divided by the frequency of the Fourier component that is being measured.

The dissipation of the strength of these gravity waves would naturally be, as projected by Illuvatar. The responsive movements of these responding bodies, even though arising out of their own rest energy changes, would produce negative Fourier components which would start propagating as waves and when added to the original waves would reduce their strength. But tying up the loss of strength of field changes with frequency of the Fourier component and expecting any change in the wavelength as projected by him would not happen. If at all quantised, with such small equivalent energy values of the individual quantas, it is the population of the quantas that would get reduced. The frequency has to follow the Fourier components.

But all this cannot be understood in the constraint generated by the Relativity syndrome. This will require reorientation of the views of the universe on a more realistic model.