Nonlinear gravitational wave interactions with plasmas

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 10, 2000, Pages 1-5

  Brodin, Gert ^a   Marklund, Mattias ^a,b,c   Dunsby, Peter K S ^c  

^a UMEÅ UNIVERSITY   (Sweden)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^c UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044425647     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.104008     Document Type: Article

References (30)

1. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
2. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
3. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
4. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
5. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
6. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
7. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
8. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
9. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
10. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
11. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
12. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
13. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
14. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
15. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
16. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1982); B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960); F. I. Cooperstock, ibid. 47, 173 (1968); Ya. B. Zeldovich, Zh. Éksp. Teor. Fiz. 65, 1311 (1973) [Sov. Phys. JETP 38, 652 (1974)]; U. N. Gerlach, Phys. Rev. Lett. 32, 1023 (1974) ; V. I. Denisov, Zh. Éksp. Teor. Fiz. 74, 401 (1978) [Sov. Phys. JETP 47, 209 (1978)]; L. P. Grishchuk and A. G. Polnarev, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 2; M. Demiański, Relativistic Astrophysics (Pergamon Press, New York, 1985), pp. 256-257; G. A. Lupanov, Zh. Éksp. Teor. Fiz. 52, 118 (1967) [Sov. Phys. JETP 25, 76 (1967)]; V. B. Braginskiǐ, et al., ibid. 65, 1729 (1973) [38, 865 (1974)]; L. P. Grishchuk and M. V. Sazhin, ibid. 68, 1569 (1975) [41, 787 (1975)].
17. D. Macdonald and K. S. Thorne, Mon. Not. R. Astron. Soc. 198, 345 (1982).
18. M. Marklund, G. Brodin, and P. K. S. Dunsby, Astrophys. J. 536, 875 (2000).
19. Yu. G. Ignat'ev, Phys. Lett. A 230, 171 (1997); R. Bingham et al., Phys. Scr. T75, 61 (1998); J. Daniel and T. Tajima, Phys. Rev. D 55, 5193 (1997).
20. Yu. G. Ignat'ev, Phys. Lett. A 230, 171 (1997); R. Bingham et al., Phys. Scr. T75, 61 (1998); J. Daniel and T. Tajima, Phys. Rev. D 55, 5193 (1997).
21. Yu. G. Ignat'ev, Phys. Lett. A 230, 171 (1997); R. Bingham et al., Phys. Scr. T75, 61 (1998); J. Daniel and T. Tajima, Phys. Rev. D 55, 5193 (1997).
22. J. Bičák, Ann. Phys. (Leipzig) 9, 207 (2000); J. Bičák, in Einstein's Field Equations and Their Physical Implications (Selected essays in honour of Juergen Ehlers), edited by B. G. Schmidt (Springer-Verlag, Berlin, 2000).
23. J. Bičák, Ann. Phys. (Leipzig) 9, 207 (2000); J. Bičák, in Einstein's Field Equations and Their Physical Implications (Selected essays in honour of Juergen Ehlers), edited by B. G. Schmidt (Springer-Verlag, Berlin, 2000).
24. G. Brodin and M. Marklund, Phys. Rev. Lett. 82, 3012 (1999).
25. G. F. R. Ellis and H. van Elst, in Theoretical and Observational Cosmology, edited by M. Lachièze-Rey (Kluwer, Dordrecht, 1999).
26. J. Stewart, Advanced General Relativity (Cambridge University Press, Cambridge, England, 1991); D. Kramer, H. Stephani, M. MacCallum, and E. Herlt, Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge, England, 1980).
27. J. Stewart, Advanced General Relativity (Cambridge University Press, Cambridge, England, 1991); D. Kramer, H. Stephani, M. MacCallum, and E. Herlt, Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge, England, 1980).
28. Note that as long as the magnetic field is parallel to the direction of propagation of the gravitational wave it will decouple from the rest of the equations, and our following results are therefore unaffected by the addition of such a field.
29. 4 rad/s.
30. M. N. Rosenbluth, R. B. White, and C. S. Liu, Phys. Rev. Lett. 31, 697 (1973).