An improved perpetuum mobile for general relativity

The Schwarzschild interior solution has the peculiar property that the spatial metric is not affected by the pressure. Pressure only affects the temporal metric.

The radial spatial metric in the solution is stretched by mass-energy.

Suppose that we have an infinitely strong spherical vessel. If we place some mass-energy M at its center, then the volume of the vessel grows, while the area of the surface of the vessel remains constant.

Let us fill the vessel with incompressible fluid.

If we can somehow remove the mass M from the center of the vessel, then the pressure inside the vessel grows infinite, and we can, in principle, extract a large amount of energy from the system. We have a perpetuum mobile.

Last year, our attempts to construct a perpetuum mobile were thwarted by the gravitational field of the infinite pressure, if we try to remove M.

Let us try a new approach: we convert M instantaneously into light, and let the light escape from the vessel.

                 M

             _       _

            (_| -- |_)  vessel

Let us have a hollow tube which goes vertically through the vessel. We place the mass M inside the tube as an infinitely thin plate, like the dashes -- in the above diagram.

Let us convert M instantaneously into photons. Let us shoot the photons straight up and down from the plate.

Can the mass-energy M escape, leaving behind a vessel which has an infinite pressure?

A global observer perceives the speed of light to be "slower" close to the (large) mass M than inside the vessel. Or does he? If we have the energy M/2 moving as photons, what is the perceived speed by a global observer?

Could it be that the infinite pressure which is created inside the vessel, has enough time to affect the photons which carry M away, and can deflect almost all the photons back to the center of the vessel?

We do not know if the Einstein equations have any solution for the setup of the sketched perpetuum mobile. It might be that the equations do not give any prediction of the behavior.

In this blog we have conjectured that the Einstein equations are too "strict" and that no physically reasonable solution for them exists for many macroscopic setups. We have suggested that a switch to some kind of a rubber model would remove the excess strictness. How would a rubber model handle our perpetuum mobile?