The Physical Content of Initial Data for Two Black Holes

Details The Physical Content of Initial Data for Two Black Holes The Physical Content of Initial Data for Two Black Holes

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apre12006b&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

Between two black holes, there should be a certain amount of binding energy, corresponding to the Newtonian value when the holes are separated by large distances. To understand how the binding energy is present in the initial data, we look at the areas of the apparent horizons for two holes in initial data based on the superposed Kerr-Schild method of Matzner, Huq, and Shoemaker. The apparent horizon area is taken to identify a mass of each of the holes (which generally differs from the parameter m associated with the hole). We consider horizon areas in both the (conformal) background, and in the configuration obtained by solving the elliptic equations associated with the Hamiltonian and momentum constraints. We will present the numerical results and discuss the content of both background and solved initial data; for this superposed Kerr-Schild procedure, the background solution by itself captures the dominant part of the expected binding energy.

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