Recent content by YRC
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Graduate Special & General Relativity: CTC Metrics in Cylindrical Coordinates
Yes thanks, the Tipler cylinder metric does reduce to the Minkowski line element in cylindrical coordinates when the angular velocity is 0. I was wondering about using the Kerr metric to describe the exterior of the rotating Tipler cylinder. How would that work? Would that work? In a...- YRC
- Post #6
- Forum: Special and General Relativity
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Graduate Special & General Relativity: CTC Metrics in Cylindrical Coordinates
I understand that the coordinate transform for the Godel metric would look like this, ##x^{\alpha}=(t, x, y, z)=(t, r\cos{\phi}, r\sin{\phi}, z)## for cartesian and cylindrical coordinates. The cylindrical metric itself is given by ##g_{t,t}=c^2##,##g_{r,r}=1/(1+(r/2a)^2)##, ##g_{\phi,\phi}=...- YRC
- Post #3
- Forum: Special and General Relativity
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Graduate Special & General Relativity: CTC Metrics in Cylindrical Coordinates
I am studying metrics that exhibit CTCs. I was looking at a few different metrics... Tipler's solution Godel metric Kerr metric For starters to compare them, I am trying to convert said metrics into cylindrical coordinates. Thanks in advance for any help😃- YRC
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- General General relativity Relativity
- Replies: 5
- Forum: Special and General Relativity