Abstract
The methods commonly used for gravitational wave (GW) extraction from a numerical simulation are the quadrupole formula, perturbative matching, ψ 4, and characteristic extraction. These methods are reviewed, and the strengths and weaknesses of each method are discussed. The accuracy of the methods is compared for astrophysical scenarios that are commonly simulated numerically.
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References
M. Babiuc, B. Szilágyi, I. Hawke, Y. Zlochower, Class. Quantum Grav. 22, 5089 (2005)
M.C. Babiuc, N.T. Bishop, B. Szilágyi, J. Winicour, Phys. Rev. D 79, 084011 (2009)
M.C. Babiuc, B. Szilágyi, J. Winicour, Y. Zlochower, Phys. Rev. D 84, 044057 (2011)
L. Baiotti, S. Bernuzzi, G. Corvino, R. De Pietri, A. Nagar, Phys. Rev. D 79, 024002 (2009). doi:10.1103/PhysRevD.79.024002
J.G. Baker, J. Centrella, D.I. Choi, M. Koppitz, J. van Meter, Phys. Rev. Lett. 96, 111102 (2006)
N.T. Bishop, C. Reisswig, Gen. Rel. Grav. 46, 1643 (2014)
N.T. Bishop, R. Gómez, L. Lehner, M. Maharaj, J. Winicour, Phys. Rev. D 56(10), 6298 (1997)
N.T. Bishop, R. Isaacson, R. Gómez, L. Lehner, B. Szilágyi, J. Winicour, in On the Black Hole Trail, ed. by B. Iyer, B. Bhawal (Kluwer, Dordrecht, 1998)
N.T. Bishop, D. Pollney, C. Reisswig, Class. Quantum Grav. 28, 155019 (2011)
H. Bondi, M.G.J. van der Burg, A.W.K. Metzner, Proc. R. Soc. Lond. A269, 21 (1962)
M. Boyle, A.H. Mroué, Phys. Rev. D 80(12), 124045 (2009). doi:10.1103/PhysRevD.80.124045
S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, Oxford, 1983)
L.S. Finn, in Frontiers in Numerical Relativity, ed. by C. Evans, L. Finn, D. Hobill (Cambridge University Press, Cambridge, 1989), pp. 126–145
L. Gunnarsen, H. Shinkai, K. Maeda, Class. Quantum Grav. 12, 133 (1995)
K. Martel, E. Poisson, Phys. Rev. D 71, 104003 (2005)
V. Moncrief, Ann. Phys. 88, 323 (1974)
A. Nagar, J.A. Font, O. Zanotti, R. de Pietri, Phys. Rev. D 72(2), 024007 (2005). doi:10.1103/PhysRevD.72.024007
E.T. Newman, R. Penrose, J. Math. Phys. 3(3), 566 (1962). doi:10.1063/1.1724257. Erratum in J. Math. Phys. 4, 998 (1963)
D. Pollney, C. Reisswig, L. Rezzolla, B. Szilágyi, M. Ansorg, B. Deris, P. Diener, E.N. Dorband, M. Koppitz, A. Nagar, E. Schnetter, Phys. Rev. D 76, 124002 (2007)
D. Pollney, C. Reisswig, N. Dorband, E. Schnetter, P. Diener, Phys. Rev. D 80, 121502 (2009). doi:10.1103/PhysRevD.80.121502
T. Regge, J. Wheeler, Phys. Rev. 108(4), 1063 (1957)
C. Reisswig, D. Pollney, Class. Quantum Grav. 28, 195015 (2011)
C. Reisswig, N.T. Bishop, D. Pollney, B. Szilagyi, Phys. Rev. Lett. 103, 221101 (2009)
C. Reisswig, N.T. Bishop, D. Pollney, B. Szilagyi, Class. Quantum Grav. 27, 075014 (2010)
C. Reisswig, C.D. Ott, U. Sperhake, E. Schnetter, Phys. Rev. D 83, 064008 (2011)
N.W. Taylor, M. Boyle, C. Reisswig, M.A. Scheel, T. Chu, L.E. Kidder, B. Szilagyi, Phys. Rev. D88, 124010 (2013). doi:10.1103/PhysRevD.88.124010
F.J. Zerilli, J. Math. Phys. 11, 2203 (1970)
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NTB thanks the National Research Foundation, South Africa, for financial support.
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Bishop, N.T., Rezzolla, L. (2015). Extraction of GWs from a Numerical Simulation. In: Sopuerta, C. (eds) Gravitational Wave Astrophysics. Astrophysics and Space Science Proceedings, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-319-10488-1_18
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DOI: https://doi.org/10.1007/978-3-319-10488-1_18
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