Are There Exact Black Hole Solutions in Non-Asymptotically Flat Spacetimes?

[old dog]

Are there any EXACT solutions similar to Schwarzschild or Kerr in a spacetime which is not asymptotically flat; e.g. FLRW or other cosmological metrics? I am already familiar with the "Swiss cheese" approximations.

 

[jedishrfu]

If you believe wikipedia then there are only 4 known solutions:

http://en.wikipedia.org/wiki/Rotating_black_hole

and

http://en.wikipedia.org/wiki/Einstein's_equations

 

[Ben Niehoff]

We also have exact solutions for the 4 basic black holes in asymptotically de Sitter or anti de Sitter spacetimes. De Sitter spacetime corresponds to eternal inflation.

 

[George Jones]

Isn't "Swiss Cheese" exactly what you want? A single hole version of this is the classic paper "Conformal Structure of a Schwarzschild Black Hole Immersed in a Friedman Universe" by Sussman ("General Relativity and Gravitation, Vol. 17, No. 3, 1985) Abstract:

The evolution of a Schwarzschild black hole in an expanding Friedman universe is described using the same coordinate patch for both geometries. Comoving and extended Kruskal coordinates are considered and compared for the cases k = 0 and k = 1. The conformal structure and some global topological aspects of the Schwarzschild-Friedman system are examined with the help of diagrams in comoving and extended Kruskal coordinates.