[Richard777 (OP)]

My previous post on this subject has been shown to be seriously incorrect. A gravitational field cannot be a wave function.

However, a field can be distributed as a wave in the radial direction.

If so, the wave must approximate Newton gravitational acceleration at significant distances from the associated object. The field strength should be zero at the center of the object. The wave amplitude should be related to the Schwarzschild radius. The wave should have a negative sign indicating attractive acceleration.

The “Newton catastrophe” permits infinite acceleration at the center of a massive object. This error may be avoided if the gravitational wave is zero at the COG.

Can a gravitational field associated with a massive object, be distributed as an acceleration wave?

[yor_on]

How do you expect it to accelerate?

[evan_au]

acceleration wave

What is an "acceleration wave"?

[jeffreyH]

The physical contraction of a spinning disk is nonsense. This is not what relativity states. If you are positioned at the edge of the spinning disk all will appear normal. If however you have a surface behind the disk that is stationary and has markings on it measuring out the degrees around the disk it will appear to the observer on the disk that those markings contract. This is due to time dilation. A person sitting on the stationary surface will witness no such contraction of these markings since this is their own rest frame. It is time this nonsense was put aside.

[yor_on]

That depends on your definition of a 'universe' Jeffrey :)

From a local point of view,. actually it's a very difficult thing to define as a rotation in this case becomes a acceleration, even if you define it to be 'uniform'. But let's presume that it's not falling apart.

From a 'global view' though it must, as every 'line' building up to a disk has a different 'speed' relative the other.
Locally defined all of them want to throw you away at a tangent to your 'speed', although there is no reason for them to 'crack'.

So, from the 'eyes of a god' the disk should crack. From a local definition there is no need for it.

It depends on your definitions and that's why rotating 'black holes', if they exist, are of a great interest to me.

[yor_on]

Was you thinking of it as spherical 'gravitational wave' propagating Richard?

[guest47899]

Can a gravitational field be distributed as an acceleration wave?

One must consider multiple variables with the indirect evidence being presented as an affirmative to your question.

"a field can be distributed as a wave in the radial direction"

consider that in a purely perfect solar system where the planets all rotated at a uniformed speed ratio, in all the same direction in relation to the Sun, and planet tilt is not taken into consideration, then a strong case can be made for a field being distributed as a wave in a radial direction.

The above variances all contribute to factors that alter the first four planets in our solar systems elliptical orbits.

What can be postulated as indirect evidence is that these elliptical  orbits can be interpreted as examples of "a field being distributed as a wave in the radial direction" . For example, Mercury used as a inertial stationary object as a counter to the Sun's slow rotational gravitational field. The gravity field for Mercury is negated in comparison to the Sun's. It is held in a near stationary mode as far as the number of rotations (1) it make in a yearly revolution around the Sun. It orbit is also the most eccentric of all the planets.

The elliptical nature of all the planets maybe interpreted as a component of a gravity field being distributed as a wave in the radial direction. Of course, as previously mentioned, multiple factors come into play, different planet's variable must be factored for any function using a radial gravitational wave variable.in its formula.

Below are the facts for the first four planets eccentricities and rotational speeds.

Mercury eccentricity,which is rather large (0.2056). Mars rotational speed once a year
Venus the least range eccentricity of 0.007.  Venus's equator rotates at 6.52 km/h (4.05 mph),
Venus revolves the Sun in an opposite direction.
Earth's eccentricity of 0.0167. Earth's rotates at 1,669.8 km/h (1,037.6 mph).at the equator.
Mars eccentricity of 0.0934. The planet has a rotational speed of 868.22 km/h at the equator.

information in regards to the tilt of the planets was not researched

A radial wave distribution of the Sun's gravity could assist in explaining the warped space//time elliptical orbits of the planets.