Tracing the geometry around a massive, axisymmetric body to measure, through gravitational waves, its mass moments and electromagnetic moments

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 4, 2005, Pages

  Sotiriou, Thomas P ^a   Apostolatos, Theocharis A ^a  

^a UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELECTRIC CURRENT; ELECTROMAGNETIC FIELD; ELECTROMAGNETIC RADIATION; ENERGY; GEOMETRY; GRAVITY; MAGNETISM; MEASUREMENT; MOLECULAR WEIGHT; QUANTITATIVE ANALYSIS; VELOCITY;

EID: 84927758891     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.044005     Document Type: Article

References (25)

1. R. Geroch, J. Math. Phys. (N.Y.) 11, 2580 (1970).
2. R. O. Hansen, J. Math. Phys. (N.Y.) 15, 46 (1974).
3. W. Simon and R. Beig, J. Math. Phys. (N.Y.) 24, 1163 (1983).
4. W. Simon, J. Math. Phys. (N.Y.) 25, 1035 (1984).
5. F. D. Ryan, Phys. Rev. D 52, 5707 (1995).
6. F. D. Ryan, Phys. Rev. D 56, 1845 (1997).
7. K. S. Thorne, in Proceedings of Snowmass 94 Summer Study on Particle and Nuclear Astrophysics and Cosmology, edited by E. W. Kolb and R. Peccei (World Scientific, Singapore, 1980).
8. K. Danzmann et al., "LISA-Laser Interferometric Space Antenna, Pre-Phase A Report," Max-Planck-Institut für Quantenoptik Report No. MPQ 233, 1998.
9. There are two possible electromagnetic fields that lead to reflection-symmetric metric. One of them consists of even electric and odd magnetic moments, while the other one consists of even magnetic and odd electric moments (see Sec. IIC).
10. P. C. Peters, Phys. Rev. 136, B1224 (1964).
11. T. Apostolatos, D. Kennefick, A. Ori, and E. Poisson, Phys. Rev. D 47, 5376 (1993).
12. S. A. Hughes, Phys. Rev. D 61, 084004 (2000).
13. M. Shibata, M. Sasaki, H. Tagoshi, and T. Tanaka, Phys. Rev. D 51, 1646 (1995).
14. A. Papapetrou, Ann. Phys. (Berlin) 12, 309 (1953).
15. R. M. Wald, General Relativity (University of Chicago, Chicago, 1984).
16. F. J. Ernst, Phys. Rev. 167, 1175 (1968).
17. F. J. Ernst, Phys. Rev. 168, 1415 (1968).
18. See Ref. [16] of F. D. Ryan, Phys. Rev. D 56, 7732 (1997); and Eq. (2.10) of M. Shibata and M. Sasaki, Phys. Rev. D 58, 104011 (1998).
19. See Ref. [16] of F. D. Ryan, Phys. Rev. D 56, 7732 (1997); and Eq. (2.10) of M. Shibata and M. Sasaki, Phys. Rev. D 58, 104011 (1998).
20. W. Israel, Phys. Rev. D 2, 641 (1970).
21. T. P. Sotiriou and T. A. Apostolatos, Classical Quantum Gravity 21, 5727 (2004).
22. See Sec. 3 of Ref. [2]. Here Re(ξ) = (ρ2 + z 2)-(1/2)Re(ξ) plays the role of φM and Im(ξ) = (ρ2 + z2)-(1/2)Im(ξ) plays the role of φJ.
23. C. Cutler and É. E. Flanagan, Phys. Rev. D 49, 2658 (1994).
24. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman Press, San Francisco, 1973).
25. T. A. Apostolatos, Phys. Rev. D 54, 2421 (1996).