Timeline for Is there an spherical symmetric Einstein vacuum solution which has circular orbits with flat velocities? Or a proof that it cannot exist?
Current License: CC BY-SA 4.0
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| Mar 13 at 19:04 | history | edited | Sten | CC BY-SA 4.0 |
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| Mar 13 at 15:02 | comment | added | Sten | @A.V.S. right, that's why the weak-field limit is in the linear mass density of the source and does not involve the spatial position. | |
| Mar 13 at 14:22 | comment | added | A.V.S. | Infinite cylinder of mass cannot have a weak field limit since it would not be asymptotically flat and could not be reduced to Newtonian gravity. | |
| Mar 13 at 8:30 | comment | added | Sten | No, it implies asymptotic flatness. | |
| Mar 13 at 7:46 | comment | added | Tantal181 | Birkhoff requires asymptotic Minkowski and concludes it can only be Schwarzschild. Asymptotic Minkowski is questionable in case of flat rotation everywhere, out to infinity. So Birkhoff would not be applicable. | |
| Mar 13 at 6:53 | comment | added | Sten | @Tantal181 According to Birkhoff's theorem Schwarzschild is the unique vacuum spherically symmetric solution | |
| Mar 13 at 6:47 | comment | added | Tantal181 | I am sorry, I had solutions with spherical symmetry in mind. My post was not clear enough, I thus edited my question accordingly. And I added possible oddities. | |
| Mar 12 at 23:04 | history | edited | Sten | CC BY-SA 4.0 |
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| Mar 12 at 20:50 | history | edited | Sten | CC BY-SA 4.0 |
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| Mar 12 at 20:36 | history | edited | Sten | CC BY-SA 4.0 |
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| Mar 12 at 20:31 | history | answered | Sten | CC BY-SA 4.0 |