- #1
snoopies622
- 846
- 28
According to Wikipedia's "Wormhole" essay, this is a metric for a traversable wormhole :
[tex]
ds^2 = -c^2 dt^2 + dl^2 + (k^2 + l^2)(d \theta ^2 + sin ^2 \theta d \phi ^2)
[/tex]
If we assume the Einstein relation
[tex]
R_{uv} - \frac {1}{2} R g_{uv} = \frac {8 \pi G}{c^4} T_{uv}
[/tex]
what kind of distribution of mass / energy is consistent with this spacetime geometry? (I'm guessing k is a constant and l is something like radius? The essay never bothers to say.)
[tex]
ds^2 = -c^2 dt^2 + dl^2 + (k^2 + l^2)(d \theta ^2 + sin ^2 \theta d \phi ^2)
[/tex]
If we assume the Einstein relation
[tex]
R_{uv} - \frac {1}{2} R g_{uv} = \frac {8 \pi G}{c^4} T_{uv}
[/tex]
what kind of distribution of mass / energy is consistent with this spacetime geometry? (I'm guessing k is a constant and l is something like radius? The essay never bothers to say.)
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