Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session L11: Numerical Relativity: Neutron Stars and Other Sources with Matter
3:30 PM–5:18 PM,
Sunday, April 14, 2019
Sheraton
Room: Governor's Square 17
Sponsoring
Unit:
DGRAV
Chair: David Radice, Princeton University
Abstract: L11.00005 : Complete initial value spacetimes containing black holes in general relativity:Application to black hole-disk systems*
4:18 PM–4:30 PM
View Presentation Abstract
Presenter:
Antonios Tsokaros
(University of Illinois at Urbana-Champaign)
Authors:
Antonios Tsokaros
(University of Illinois at Urbana-Champaign)
Koji Uryu
(University of the Ryukyus)
Stuart Louis Shapiro
(University of Illinois at Urbana-Champaign)
We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full metric) that contain a black hole. For stationary, axisymmetric spacetimes our method yields Kerr-Schild black holes in vacuum and rotating equilibrium neutron stars. We demonstrate the power of our new method by solving for the first time the whole system of Einstein equations for a nonaxisymmetric, self-gravitating torus in the presence of a black hole. The black hole has dimensionless spin 0.99, a rotation axis tilted at a 30 degrees angle with respect to the angular momentum of the disk, and a mass of approximately 1/5 of the disk.
*This work was supported by NSF grants PHY-1602536 and PHY-1662211 and NASA grant 80NSSC17K0070 to the University of Illinois at Urbana-Champaign, as well as by JSPS Grant-in-Aid for Scientific Research (C) 15K05085 and 18K03624 to the University of Ryukyus.
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