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Simple method to set up low eccentricity initial data for moving puncture simulations
Phys. Rev. D 83, 024012 – Published 11 January, 2011
DOI: https://doi.org/10.1103/PhysRevD.83.024012
Abstract
We introduce two new eccentricity measures to analyze numerical simulations. Unlike earlier definitions these eccentricity measures do not involve any free parameters which makes them easy to use. We show how relatively inexpensive grid setups can be used to estimate the eccentricity during the early inspiral phase. Furthermore, we compare standard puncture data and post-Newtonian data in ADMTT gauge. We find that both use different coordinates. Thus low eccentricity initial momentum parameters for a certain separation measured in ADMTT coordinates are hard to use in puncture data, because it is not known how the separation in puncture coordinates is related to the separation in ADMTT coordinates. As a remedy we provide a simple approach which allows us to iterate the momentum parameters until our numerical simulations result in acceptably low eccentricities.
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References (46)
- B. Abbott et al. (The LIGO Scientific Collaboration), Rep. Prog. Phys. 72, 076901 (2009).
- LIGO, http://www.ligo.caltech.edu.
- F. Acernese et al., J. Opt. A 10, 064009 (2008).
- VIRGO, http://www.virgo.infn.it.
- GEO600, http://www.geo600.org.
- B. Schutz, Classical Quantum Gravity 16, A131 (1999).
- T. Nakamura, K. Oohara, and Y. Kojima, Prog. Theor. Phys. Suppl. 90, 1 (1987).
- M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995).
- T. W. Baumgarte and S. L. Shapiro, Phys. Rev. D 59, 024007 (1998).
- W. Tichy, Phys. Rev. D 74, 084005 (2006).
- W. Tichy, Classical Quantum Gravity 26, 175018 (2009).
- W. Tichy, Phys. Rev. D 80, 104034 (2009).
- M. Campanelli, C. O. Lousto, P. Marronetti, and Y. Zlochower, Phys. Rev. Lett. 96, 111101 (2006).
- J. G. Baker, J. Centrella, D.-I. Choi, M. Koppitz, and J. van Meter, Phys. Rev. Lett. 96, 111102 (2006).
- S. Brandt and B. Brügmann, Phys. Rev. Lett. 78, 3606 (1997).
- M. Ansorg, B. Brügmann, and W. Tichy, Phys. Rev. D 70, 064011 (2004).
- P. C. Peters and J. Mathews, Phys. Rev. 131, 435 (1963).
- P. C. Peters, Phys. Rev. 136, B1224 (1964).
- NRAR, https://www.ninja-project.org/doku.php?id=nrar:home.
- J. G. Baker, J. R. van Meter, S. T. McWilliams, J. Centrella, and B. J. Kelly, Phys. Rev. Lett. 99, 181101 (2007).
- S. Husa, M. Hannam, J. A. Gonzalez, U. Sperhake, and B. Bruegmann, Phys. Rev. D 77, 044037 (2008).
- B. Walther, B. Bruegmann, and D. Mueller, Phys. Rev. D 79, 124040 (2009).
- H. P. Pfeiffer et al., Classical Quantum Gravity 24, S59 (2007).
- M. Boyle, D. A. Brown, L. E. Kidder, A. H. Mrou, H. P. Pfeiffer, M. A. Scheel, G. B. Cook, and S. A. Teukolsky, Phys. Rev. D 76, 124038 (2007).
- A. H. Mroue, H. P. Pfeiffer, L. E. Kidder, and S. A. Teukolsky, Phys. Rev. D 82, 124016 (2010).
- A. Buonanno, G. B. Cook, and F. Pretorius, Phys. Rev. D 75, 124018 (2007).
- B. Brügmann, W. Tichy, and N. Jansen, Phys. Rev. Lett. 92, 211101 (2004).
- B. Brügmann, J. González, M. Hannam, S. Husa, U. Sperhake, and W. Tichy, Phys. Rev. D 77, 024027 (2008).
- P. Marronetti, W. Tichy, B. Brügmann, J. González, and U. Sperhake, Phys. Rev. D 77, 064010 (2008).
- M. J. Berger and J. Oliger, J. Comput. Phys. 53, 484 (1984).
- T. W. Baumgarte, Phys. Rev. D 62, 024018 (2000).
- W. Tichy, B. Brügmann, and P. Laguna, Phys. Rev. D 68, 064008 (2003).
- W. Tichy and B. Brügmann, Phys. Rev. D 69, 024006 (2004).
- P. Marronetti, W. Tichy, B. Brügmann, J. González, M. Hannam, S. Husa, and U. Sperhake, Classical Quantum Gravity 24, S43 (2007).
- B. Brügmann, J. A. González, M. Hannam, S. Husa, U. Sperhake, and W. Tichy, Phys. Rev. D 77, 024027 (2008).
- G. Schäfer, Ann. Phys. (N.Y.) 161, 81 (1985).
- W. Tichy, B. Brügmann, M. Campanelli, and P. Diener, Phys. Rev. D 67, 064008 (2003).
- N. Yunes and W. Tichy, Phys. Rev. D 74, 064013 (2006).
- N. Yunes, W. Tichy, B. J. Owen, and B. Brügmann, Phys. Rev. D 74, 104011 (2006).
The standard PN jargon for a term of order in the equations of motion is term. Notice that according to the virial theorem , so that terms are also .
- N. K. Johnson-McDaniel, N. Yunes, W. Tichy, and B. J. Owen, Phys. Rev. D 80, 124039 (2009).
- L. E. Kidder, Phys. Rev. D 52, 821 (1995).
- W. Tichy and P. Marronetti, Phys. Rev. D 76, 061502 (2007).
- W. Tichy and P. Marronetti, Phys. Rev. D 78, 081501 (2008).
- W. Tichy, B. Brügmann, and P. Laguna, Phys. Rev. D 68, 064008 (2003).
- J. W. York, Phys. Rev. Lett. 82, 1350 (1999).