- #1
birulami
- 155
- 0
In SRT, the line element is ##c^2ds^2 = c^2dt^2 - dx^2 -dy^2-dz^2## and ##g_{00} = 1## (or ##-1## depending on sign conventions). In the Schwarzschild metric we have
[tex]
g_{00}=(c^2-\frac{2 GM}{r}) .
[/tex] So in the first example, ##g_{00}## is constant, in the second it depends on another coordinate (##r##).
Are there examples in GRT where ##g_{00}## depends on ##t## or can it be proven that this cannot be the case?
[tex]
g_{00}=(c^2-\frac{2 GM}{r}) .
[/tex] So in the first example, ##g_{00}## is constant, in the second it depends on another coordinate (##r##).
Are there examples in GRT where ##g_{00}## depends on ##t## or can it be proven that this cannot be the case?