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Phys. Rev. D 72, 044004 (2005) [14 pages]

Dynamical evolution of quasicircular binary black hole data

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Miguel Alcubierre1, Bernd Brügmann2, Peter Diener3,9, F. Siddhartha Guzmán4, Ian Hawke5,6, Scott Hawley7, Frank Herrmann5, Michael Koppitz8, Denis Pollney5, Edward Seidel3,5,9, and Jonathan Thornburg5
1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, México D.F. 04510, México
2Theoretical Physics Institute, University of Jena, 07743 Jena, Germany
3Center for Computation and Technology, 302 Johnston Hall, Louisiana State University, Baton Rouge, Louisiana 70803, USA
4Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Cd. Universitaria. C. P. 58040 Morelia Michoacán, México.
5Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany
6School of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom
7Center for Relativity, University of Texas at Austin, Austin, Texas 78712, USA
8Laboratory for High Energy Astrophysics, NASA Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, Maryland 20771, USA
9Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA

Received 1 December 2004; published 5 August 2005

We study the fully nonlinear dynamical evolution of binary black hole data, whose orbital parameters are specified via the effective potential method for determining quasicircular orbits. The cases studied range from the Cook-Baumgarte innermost stable circular orbit (ISCO) to significantly beyond that separation. In all cases we find the black holes to coalesce (as determined by the appearance of a common apparent horizon) in less than half an orbital period. The results of the numerical simulations indicate that the initial holes are not actually in quasicircular orbits, but that they are in fact nearly plunging together. The dynamics of the final horizon are studied to determine physical parameters of the final black hole, such as its spin, mass, and oscillation frequency, revealing information about the inspiral process. We show that considerable resolution is required to extract accurate physical information from the final black hole formed in the merger process, and that the quasinormal modes of the final hole are strongly excited in the merger process. For the ISCO case, by comparing physical measurements of the final black hole formed to the initial data, we estimate that less than 3% of the total energy is radiated in the merger process.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.044004
DOI:
10.1103/PhysRevD.72.044004
PACS:
04.25.Dm, 04.30.Db, 04.70.Bw, 95.30.Sf