Misner

The earliest suggestion for initial data that might be said to corresponding to multiple black holes was given by Misner in 1960 [34]. He provided a prescription for writing a metric connecting a pair of massive bodies, instaneously at rest, whose throats are connected by a wormhole. Using the method of images, this solution was generalised to describe any number of black holes whose throats connect two identical asymptotically flat spacetimes [35].

Figure D12.1: The topology of the Misner spacetime is that of a pair of asymptotically flat sheets connected by a number of Einstein-Rosen bridges. By construction, an exact isometry exists between the upper and lower sheet across the throats. The parameter $\mu _0$ is a measure of the distance of a loop in the surface, passing through one throat and out the other.

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Two implementations of the Misner data are available. The first of these, ``misner_bh'', is due to Joan Masso, Ed Seidel and Karen Camarda, and implements the original two-throat solution. The more general solution was implemented by Steve Brandt and Carsten Gundlach, and is available as ``multiple_misner_bh''.