Prog. Theor. Phys. Vol. 103 No. 6 (2000) pp. 1147-1160
High Frequency Gravitational Radiation and Ringing Down of an Isolated Gravitating System
Graduate School of Science, Tohoku
University, Sendai 980-8578, Japan
*Mathematical Physics Department
University College Dublin, Belfield, Dublin 4, Ireland
(Received January 30, 2000)
A qualitative description is given of the gravitational field of an
isolated gravitating system emitting high frequency gravitational
radiation which is ended by a burst of radiation accompanied by matter
travelling with the speed of light, which in turn is followed by an
exponential ringing down to the field of a spherical black hole.
The process we describe could conceivably be applied to the last
stages of a binary neutron star collision. In this case the high frequency
phase coincides with the rapid inspiral motion of the stars. This is
ended by the collision, giving rise to a burst of outgoing radiation
accompanied by light-like matter such as neutrinos, and then the
ringing down follows when the remnant of the collision rapidly
radiates away its wave-front anisotropy, and a spherical black hole is formed.
DOI : 10.1143/PTP.103.1147
S. Chandrasekhar, Astrophys. J. 142 (1965), 1488[CrossRef].
- K. Oohara, T. Nakamura and M. Shibata, Prog. Theor. Phys. Suppl. No. 128 (1997), 183[PTP].
- H. Asada and T. Futamase, Prog. Theor. Phys. Suppl. No. 128 (1997), 123[PTP].
P. A. Hogan and T. Futamase, J. Math. Phys. 34 (1993), 154[CrossRef].
- A. Abramovici et al., Sicence 256 (1994), 325; Max-Planck-Institute fuer Quantenoptik Report 190 (Garching, Germany, 1994).
- K. Danzmann, E. Coccia, G. Pizzalla and F. Ronga, in Gravittaional Wave Experiments (World Scientific Publishing Co. Ltd, Singapore, 1995), p. 86,
- C. Bradaschia et al., Nucl. Instrum. Method Phys. Res. Sect. A289 (1990), 518.
- K. Kuroda et al., in Proceedings of the International Conference on Gravitational Waves: Sorce and Detections, ed. I. Ciufolini and F. Fidecard (World Scientific, 1997), p. 100.
- I. Robinson and A. Trautman, Proc. R. Soc. London A265 (1962), 463.
I. Robinson, Class. Quantum Grav. 6 (1989), 1863[CrossRef].
- P. A. Hogan and A. Trautman in Gravitation and Geometry, ed. W. Rindler and A. Trautman (Bibliopolis, Naples, 1987), p. 215.
- R. K. Sachs, Proc. R. Soc. London A270 (1962), 103.
E. T. Newman and T. W. J. Unti, J. Math. Phys. 3 (1962), 891[CrossRef].
G. A. Burnett, J. Math. Phys. 30 (1989), 153[AIP Scitation].
R. A. Isaacson, Phys. Rev. 166 (1968), 1263, [APS]1272.
- I. Robinson and J. R. Robinson in General Relativity, ed. L. O'Raifeartaigh (Clarendon Press, Oxford, 1972), p. 151.
C. Barrabès and W. Israel, Phys. Rev. D43 (1991), 1129[APS].
- B. Lukacs, Z. Perjes, J. Porter and A. Sebestyen, Gen. Relat. Gravit. 16 (1984), 691.
C. Barrabès and P. A. Hogan, Phys. Rev. D58 (1998), 044013-1[APS].