- #1

- 753

- 15

[tex]

x_1 = f_1 (t,r,\theta ,\phi ,M)[/tex]

[tex]

x_2 = f_2 (t,r,\theta ,\phi ,M)

[/tex]

.

.

etc.

then

[tex] ds^2=dx_1 ^2 +dx_2 ^2 +dx_3 ^2 +dx_4 ^2 +dx_5 ^2[/tex]

[tex]=(1-\frac{2GM}{c^2 r})c^2 dt^2-\frac{dr^2}{1-(2GM/c^2 r)} - r^2 sin^2 \theta d\phi ^2 - r^2 d\theta ^2?[/tex]

I like the idea of a Euclidean (or Minkowskian) hyperspace that contains gravitational fields, even if it turns out to have no practical application.