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Published October 2009 | public
Journal Article

Black hole initial data on hyperboloidal slices

Abstract

We generalize Bowen-York black hole initial data to hyperboloidal constant mean curvature slices which extend to future null infinity. We solve this initial value problem numerically for several cases, including unequal mass binary black holes with spins and boosts. The singularity at null infinity in the Hamiltonian constraint associated with a constant mean curvature hypersurface does not pose any particular difficulties. The inner boundaries of our slices are minimal surfaces. Trumpet configurations are explored both analytically and numerically.

Additional Information

© 2009 American Physical Society. Received 18 July 2009; published 19 October 2009. We gratefully acknowledge Vincent Moncrief for originating this scheme and for numerous discussions since, and Richard Matzner, Oliver Rinne, and Olivier Sarbach for their many interactions and invaluable feedback. We also thank Geoffrey Lovelace for providing the code to compute the Ricci scalar on apparent horizons. The elliptic solver used here is part of the SPEC code primarily developed by Lawrence Kidder, H. P., and Mark Scheel. L. B. and H. P. were supported in part by grants from the Sherman Fairchild Foundation and the Brinson Foundation, by NSF Grants No. PHY-0601459, No. PHY-0652995, and No. DMS-0553302. L.B. was also supported by NSF Grant No. PHY 03 54842 and NASA Grant No. NNG 04GL37G to the University of Texas at Austin. H. P. gratefully acknowledges support from NSERC of Canada and the Canadian Institute for Advanced Research.

Additional details

Created:
August 19, 2023
Modified:
October 19, 2023