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Prog. Theor. Phys. Supplement No.136 (1999) pp. 158-167

[ Full Text PDF : FREE ACCESS (708K) ]

Generation of Post-Newtonian Gravitational Radiation via Direct Integration of the Relaxed Einstein Equations

Clifford M. Will*

Department of Physics and McDonnell Center for the Space Sciences
Washington University, St. Louis, MO 63130, USA

(Received August 18, 1999)

Abstract:

The completion of a network of advanced laser-interferometric gravitational-wave observatories around 2001 will make possible the study of the inspiral and coalescence of binary systems of compact objects (neutron stars and black holes), using gravitational radiation. To extract useful information from the waves, such as the masses and spins of the bodies, theoretical general relativistic gravitational waveform templates of extremely high accuracy will be needed for filtering the data, probably as accurate as O[(v/c)6] beyond the predictions of the quadrupole formula. We summarize a method, called DIRE, for Direct Integration of the Relaxed Einstein Equations, which extends and improves an earlier framework due to Epstein and Wagoner, in which Einstein's equations are recast as a flat spacetime wave equation with source composed of matter confined to compact regions and gravitational non-linearities extending to infinity. The new method is free of divergences or undefined integrals, correctly predicts all gravitational wave “tail” effects caused by backscatter of the outgoing radiation off the background curved spacetime, and yields radiation that propagates asymptotically along true null cones of the curved spacetime. The method also yields equations of motion through O[(v/c)4], radiation-reaction terms at O[(v/c)5] and O[(v/c)7], and gravitational waveforms and energy flux through O[(v/c)4], in agreement with other approaches. We report on progress in evaluating the O[(v/c)6] contributions.


URL : http://ptp.ipap.jp/link?PTPS/136/158/
DOI : 10.1143/PTPS.136.158


*E-mail address: cmw@wuphys.wustl.edu

[ Full Text PDF : FREE ACCESS (708K) ] Citation:

References:

  1. K. S. Thorne, in Proceedings of the Snowmass 95 Summer Study on Particle and Nuclear Astrophysics and Cosmology, ed. E. W. Kolb and R. Peccei (World Scientific, Singapore, 1995), p. 398; gr-qc/9506086[e-print arXiv].
  2. L. S. Finn and D. F. Chernoff, Phys. Rev. D47 (1993), 2198[APS]; gr-qc/9301003[e-print arXiv].
    C. Cutler and É. E. Flanagan, Phys. Rev. D49 (1994), 2658[APS]; gr-qc/9402014[e-print arXiv].
    E. Poisson and C. M. Will, Phys. Rev. D52 (1995), 848[APS]; gr-qc/9502040[e-print arXiv].
    T. Damour, B. R. Iyer and B. S. Sathyaprakash, Phys. Rev. D57 (1998), 885[APS].
    E. Poisson, in Proceedings of the Second Gravitational-Wave Data Analysis Workshop, in press.
  3. R. V. Wagoner and C. M. Will, Astrophys. J. 210 (1976), 764[CrossRef].
  4. This convention holds sway, despite the fact that pure Newtonian gravity predicts no gravitational radiation. It is often the source of confusion, since the energy carried by the lowest-order “Newtonian” quadrupole radiation manifests itself in a (post)5/2-Newtonian, or O[(v/c)5] correction in the equation of motion.
  5. M. Walker and C. M. Will, Phys. Rev. Lett. 45 (1980), 1741[APS].
    J. L. Anderson, Phys. Rev. Lett. 45 (1980), 1745[APS].
    T. Damour, Phys. Rev. Lett. 51 (1979), 1983[APS].
    D. Christodoulou and B. G. Schmidt, Commun. Math. Phys. 68 (1979), 275[CrossRef].
    R. A. Isaacson, J. S. Welling and J. Winicour, Phys. Rev. Lett. 53 (1984), 1870[APS].
  6. L. Blanchet and T. Damour, Philos. Trans. R. Soc. London A320 (1986), 379.
    L. Blanchet and T. Damour, Phys. Rev. D37 (1988), 1410[APS].
    L. Blanchet and T. Damour, Ann. Inst. H. Poincaré (Phys. Theorique) 50 (1989), 377.
    T. Damour and B. R. Iyer, Ann. Inst. H. Poincaré (Phys. Theorique) 54 (1991), 115.
    L. Blanchet, Phys. Rev. D51 (1995), 2559[APS]; gr-qc/9501030[e-print arXiv].
    L. Blanchet and T. Damour, Phys. Rev. D46 (1992), 4304[APS].
  7. K. S. Thorne, Rev. Mod. Phys. 52 (1980), 299[APS].
  8. R. Epstein and R. V. Wagoner, Astrophys. J. 197 (1975), 717[CrossRef].
  9. E. Poisson, Phys. Rev. D47 (1993), 1497[APS].
    E. Poisson and M. Sasaki, Phys. Rev. D51 (1995), 5753[APS]; gr-qc/9412027[e-print arXiv].
    C. Cutler, L. S. Finn, E. Poisson and G. J. Sussman, Phys. Rev. D47 (1993), 1511[APS].
    M. Sasaki, Prog. Theor. Phys. 92 (1994), 17[PTP]; gr-qc/9402042[e-print arXiv].
    H. Tagoshi and M. Sasaki, Prog. Theor. Phys. 92 (1994), 745[PTP]; gr-qc/9405062[e-print arXiv].
    T. Tanaka, H. Tagoshi and M. Sasaki, Prog. Theor. Phys. 96 (1996), 1087[PTP]; gr-qc/9701050[e-print arXiv].
  10. A. G. Wiseman, Phys. Rev. D46 (1992), 1517[APS].
  11. C. M. Will and A. G. Wiseman, Phys. Rev. D54 (1996), 4813[APS]; gr-qc/9608012[e-print arXiv].
  12. A. G. Wiseman and C. M. Will, Phys. Rev. D44 (1991), R2945[APS].
  13. M. E. Pati and C. M. Will, in preparation.
  14. T. Damour, in 300 Years of Gravitation, ed. S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, 1987), p. 128.
  15. L. Blanchet, G. Faye and B. Ponsot, Phys. Rev. D58 (1998), 124002[APS]; gr-qc/9804079[e-print arXiv].
  16. B. Iyer and C. M. Will, Phys. Rev. D52 (1995), 6882[APS].
  17. L. Blanchet, Phys. Rev. D47 (1993), 4392[APS].
  18. L. Blanchet, T. Damour and B. R. Iyer, Phys. Rev. D51 (1995), 5360[APS]; gr-qc/9501029[e-print arXiv].
  19. L. E. Kidder, C. M. Will and A. G. Wiseman, Phys. Rev. D47 (1993), R4183[APS]; gr-qc/9211025[e-print arXiv].
    L. E. Kidder, Phys. Rev. D52 (1995), 821[APS]; gr-qc/9506022[e-print arXiv].
  20. L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74 (1995), 3515[APS]; gr-qc/9501027[e-print arXiv].
  21. L. Blanchet, B. R. Iyer, C. M. Will and A. G. Wiseman, Class. Quantum Grav. 13 (1996), 575[CrossRef]; gr-qc/9602024[e-print arXiv].
  22. See http://www.ligo.caltech.edu/LIGO_web/Collaboration/manual.pdf.

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