Physical Sciences and Mathematics Commons^™

Static Interaction Of Black Holes In 1+1 Dimensions, Philip Greenwood

Physics

We consider a version of general relativity in two spacetime dimensions, and

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 …