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On the Construction of Time-Symmetric Black Hole Initial Data

1998/04/22 by Domenico Giulini
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Einstein #Einstein equations #General relativity #Geometry #Mathematical physics #Mathematics #Network topology #Noncommutative and Quantum Gravity Theories #Physics #Symmetry (geometry) #Theoretical physics #gr-qc

paper · pdf · doi:10.1007/978-3-540-49535-2_11

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

arxiv created 1998/04/22 · openalex publication_date 2003/07/16 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations