- #1

Trollfaz

- 140

- 14

Now Newtonian mechanics of KE don't work well at speeds near c when Special Relativity (SR) dominates. SR says that a body with rest mass m travelling at speed v has total mass energy ##\gamma mc^2##.

$$\gamma=\frac{c}{\sqrt{c^2-v^2}}$$

So KE is ##(\gamma-1)mc^2##. This gives

$$ (\gamma-1)c^2=\frac{GM}{r}$$

at r from the black hole or intense source of gravity.

$$\gamma=\frac{GMc^2}{r}+1$$

And ##v=c\sqrt{1-\frac{1}{\gamma^2}}##

So is the classical interpretation of gravity or the relativistic interpretation of gravity a better model. If the relativistic model dominates then Schwarzchild radius will not be ##\frac{\sqrt{2GM}}{c}##.