The research summary in the following pages was presented as a student talk at the 2015 CSU Student Research Competition, and won a first prize. A longer version of this work is available as a preprint [5], listed in the references on the last page.

]]>study a solution describing two static black holes in the presence of a cosmological

constant. We first analytically find an embedding diagram to visualize the geometry

outside the black holes. We then examine how the two black holes must be

interacting to remain static. Our main result is to show how the black holes behave

effectively like two electric charges. This charge model exhibits both attraction and

repulsion, which evidently balance and moreover are localized in different regions

of space. We also begin an investigation of the black holes’ interaction in terms of

the gravitational energy localized in a region (similar to a Gauss’s law approach).

One application of these static black holes is to construct a static wormhole, which

was started in a previous thesis. Here we finish this construction by verifying the

wormhole’s smoothness where the two black hole horizons are matched together.

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