Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A "Smoke Ring" solution to EFEs?

  1. Dec 27, 2016 #1
    Hello, does anyone know if a solution to EFEs (Einstein's Field Equations) has been found that's analogous to Helmholtz's vortex ring solutions in fluid dynamics?
     
  2. jcsd
  3. Dec 28, 2016 #2

    Ben Niehoff

    User Avatar
    Science Advisor
    Gold Member

    Are you specifically interested in black hole solutions? Or just generic, smooth solutions with some matter distribution (i.e., a fluid with a vortex ring, for example)?

    As far as black holes are concerned, in 5 dimensions, Emparan and Reall have written down a "black ring" solution with horizon topology ##S^1 \times S^2##. It has been expanded upon by others to include all sorts of angular momenta and charges.

    However, in 4 dimensions, stationary black holes must have spherical topology. Therefore if any sort of toroidal black hole exists, it must be non-stationary; i.e. time-dependent. It would quickly collapse into a standard Kerr black hole.
     
  4. Dec 28, 2016 #3
    Thanks Ben, just generic, smooth solutions with some matter distribution.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: "Smoke Ring" solution to EFEs?
  1. What are EFE solutions (Replies: 3)

  2. Solution to efe (Replies: 3)

Loading...