2018/06/30 by Kyle Slinker, Charles R. Evans, Mark Hannam
Mathematics · Physics and Astronomy · #Artificial intelligence #Astrophysical Phenomena and Observations #Astrophysics and Cosmic Phenomena #Black box #Black hole (networking) #Classical mechanics #Computer graphics (images) #Computer science #Constraint (computer-aided design) #Einstein #Geometry #Lorentz transformation #Mathematics #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Slicing #Superposition principle #Theoretical physics #Theory of relativity #gr-qc
paper · pdf · doi:10.1103/physrevd.98.044014
published as Phys. Rev. D 98, 044014 (2018) · 18 pages, 18 figures
openalex publication_date 2018/08/06 · arxiv created 2018/08/14 · arxiv updated 2018/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We describe a procedure for constructing initial data for boosted black holes in the moving-punctures approach to numerical relativity that endows the initial time slice from the outset with trumpet geometry within the black hole interiors. We then demonstrate the procedure in numerical simulations using an evolution code from the Einstein Toolkit that employs 1+log slicing. By using boosted Kerr-Schild geometry as an intermediate step in the construction, the Lorentz boost of a single black hole can be precisely specified and multiple, widely separated black holes can be treated approximately by superposition of single hole data. There is room within the scheme for later improvement to resolve (iterate) the constraint equations in the multiple black hole case. The approach is shown to yield an initial trumpet slice for one black hole that is close to, and rapidly settles to, a stationary trumpet geometry. By avoiding the assumption of conformal flatness, initial data in this new approach is shown to contain initial transient (or ``junk'') radiation that is suppressed by as much as 2 orders of magnitude relative to that in comparable Bowen-York initial data.