Is such a flaw conceivable in GR?

[externo]

Hello,

Is it conceivable that there is a fundamental flaw in GR like this: Could it be that it is as impossible to curve spacetime in GR to the point of reducing the size of objects to 0 as it is for matter in motion to reach the speed of light and be contracted to a length of 0. The curvature would have to be non-linear, and it would be increasingly difficult to curve space to the point that the formation of a black hole is not possible because it would require infinite energy.

This would mean that Einstein's equations would not be good. What is wrong would not be the form of the curvature but the coupling between energy and curvature, which in fact would not be linear. This would be a relic of Newtonian mechanics that was not treated correctly by Einstein. We can't realize it because from the moment we fix by observation the escape velocity or the curvature of light, we deduce a false mass but correct equations of motion. The mass is simply underestimated.

Would this be conceivable or can we show that such an error is impossible?

[Mordred]

We are already aware that GR reaches a singularity condition such as you described above ie ds^2=0.

 However the problem is that GR is incredibly precise at all other velocities where v does not equal c. 

Curvature is non linear any curve is non linear however one can linearize non linear relations to close approximation.

Considering GR high degree of accuracy I wouldn't think of it as flawed but rather has a limit to its accuracy.

 

Edited Friday at 11:07 PM by Mordred

[Markus Hanke]

5 hours ago, externo said:

What is wrong would not be the form of the curvature but the coupling between energy and curvature, which in fact would not be linear.

The equations already are non-linear.

5 hours ago, externo said:

Would this be conceivable or can we show that such an error is impossible?

There are some stringent mathematical constraints as to what form the equations can take in standard GR, they aren’t just randomly invented, but derived from those conditions. It is not possible for them to take a different form without violating some of these conditions.

You can have different equations, but then you’re not doing GR any longer, but some alternative theory of gravity.