On the Construction of Time-Symmetric Black Hole Initial Data
arXiv:gr-qc/9804055 · doi:10.1007/978-3-540-49535-2_11
Abstract
We review in a pedagogical fashion the 3+1-split which serves to put Einstein's equations into the form of a dynamical system with constraints. We then discuss the constraint equations under the simplifying assumption of time-symmetry. Multi-Black-Hole data are presented and more explicitly described in the case of two holes. The effect of different topologies is emphasized.
18 pages, Latex, uses Springer style-file lamuphys.sty. To appear in "Black Holes: Theory and Observation", edited by F. Hehl, C. Kiefer and R. Metzler, Springer 1998