Elastic Nature of Space-Time

[acap]

Space-Time behaves like an elastic material in the presence of mass because it bends in the presence of mass and returns back to normal flat shape when the mass is removed.

We can hence determine the Modulus of Elasticity and other engineering parameters of space-time and predict its behaviour. Mass is analogous to Pressure and space-time is analogous to elastic material. Blackholes are formed when the space-time breaks due to excessive mass (= pressure in normal materials).

[acap]

[Chris Peterson]

Space-Time behaves like an elastic material in the presence of mass because it bends in the presence of mass and returns back to normal flat shape when the mass is removed.

We can hence determine the Modulus of Elasticity and other engineering parameters of space-time and predict its behaviour. Mass is analogous to Pressure and space-time is analogous to elastic material. Blackholes are formed when the space-time breaks due to excessive mass (= pressure in normal materials).

http://physics.princeton.edu/~mcdonald/ ... ffness.pdf

[acap]

Thanks for the information.

[acap]

I had earlier stated that space-time (4D) behaves like an elastic material because it deforms in the presence of mass or energy and returns back to normal flat shape when the mass is removed. Space not elastic but with the addition of time, space-time behaves like a highly rigid/elastic material. Why I say "highly" because the speed of light in space-time is very high and since light are waves also, the medium through which light travels should have high modulus of elasticity (I am avoiding the word "density").

The reason for the above could be the nature of time which moves only in one direction. Time moves in one direction on its own in a very strong way. The mixing of this time in space imparts the rigidity to the space-time and make it very rigid. We can also view the same in terms of entropy which strongly points only in one direction but theoretically it can point in both directions. For all practical purpose, time & entropy points only in one direction.

[neufer]

I had earlier stated that space-time (4D) behaves like an elastic material because it deforms in the presence of mass or energy and returns back to normal flat shape when the mass is removed. Space not elastic but with the addition of time, space-time behaves like a highly rigid/elastic material. Why I say "highly" because the speed of light in space-time is very high and since light are waves also, the medium through which light travels should have high modulus of elasticity (I am avoiding the word "density").

A better analogy might be a weakly rigid/elastic material (like Jello) in which one can generally ignore simple sound waves.

[acap]

Thanks indeed for the input.
The movement of light in space-time/space is a singularity because it is constant in all conditions. Light are electromagnetic waves and its speed is special. Blackholes are also singularities. Singularities do occur in real that is for certain.
Sound is the movement/vibration/oscillation of mass particles and propagates through the medium. Its speed is dependent on the density of the medium through which it travels. How to consider sound waves in space-time needs to be investigated and understood properly. Space-time may not contain any mass but behave like an elastic material and exhibit rigid behaviour.