Emission of gravitational radiation from ultrarelativistic sources

Physical Review D

Volumn 64, Issue 6, 2001, Pages

  Segalis, Ehud B ^a   Ori, Amos ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOMIC PARTICLE; COSMOLOGICAL PHENOMENA; ELECTROMAGNETIC RADIATION; GRAVITY; MATHEMATICAL MODEL; QUANTUM THEORY;

EID: 85037908507     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.064018     Document Type: Article

References (29)

1. I. F. Mirable and L. F. Rodriguez, Annu. Rev. Astron. Astrophys. 37, 409 (1999).
2. P. Nisenson and C. Papaliolios, astro-ph/9904109.
3. I. F. Mirable and L. F. Rodriguez, Nature (London) 371, 46 (1994).
4. I. F. Mirable and L. F. Rodriguez, Annu. Rev. Astron. Astrophys. 37, 409 (1999).
5. L. F. Rodriguez and I. F. Mirable, Astrophys. J. 511, 398 (1999).
6. S. J. Tingay et al., Nature (London) 374, 141 (1995).
7. A. Dar and A. De Rujula, astro-ph/0008474.
8. V. B. Braginsky and K. S. Thorne, Nature (London) 327, 123 (1987).
9. T. Dray and G. 't Hooft, Commun. Math. Phys. 99, 613 (1985).
10. P. C. Peters, Phys. Rev. D 1, 1559 (1970).
11. R. Ruffini, Phys. Rev. D 7, 972 (1973).
12. R. J. Adler and B. Zeks, Phys. Rev. D 12, 3007 (1975).
13. S. J. Kovacs and K. S. Thorne, Astrophys. J. 217, 252 (1977).
14. L. Smarr, Phys. Rev. D 15, 2069 (1977).
15. S. J. Kovacs and K. S. Thorne, Astrophys. J. 224, 62 (1978).
16. P. D. D'Eath, Phys. Rev. D 18, 990 (1978).
17. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, New York, 1973).
18. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
19. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed. (Pergamon, New York, 1975).
20. See Eq. (2.10) in Ref. [12], and substitute p = M. Note that a factor 1/R is missing in this equation.
21. In Ref. [14] it is claimed that the gravitational radiation is not sensitive to the nature and internal structure of the objects involved in the collision. One might therefore conclude that no beaming of energy flux will occur in the head-on collision of two weak-field objects (just as in the analogous black-hole problem). This is puzzling, because we do find a beaming of energy flux in our problem. A possible resolution for this puzzle is that Smarr assumed a direction-independent frequency cutoff. This assumption appears to be invalid (at least in the weak-field problem), because it is inconsistent with the angular dependence of the Doppler factor derived here (Sec. V). In this regard see bibliographic item [17] therein.
22. S. Van den Bergh and G. A. Tammann, Annu. Rev. Astron.
23. Astrophys. 29, 363 (1991).
24. T. J. Galama et al., Nature (London) 395, 670 (1998).
25. R. S. Ellis, Annu. Rev. Astron. Astrophys. 35, 389 (1997).
26. B. Barish, "LIGO Status and Plans," 2000, LIGO-G000170-00-M, a lecture available at the LIGO internet site http://www.ligo.caltech.edu/docs/G/G000170-00.pdf
27. K. S. Thorne, gr-qc/9704042.
28. To the best of our knowledge, a detailed analysis of templates and noise statistics has not been carried out yet for bursts with memory. We therefore adopt here the standard criterions [26] for the signal-to-noise required for detection of "normal" bursts.
29. A. Dar (private communication).