Magnetic knots as the origin of spikes in the gravitational wave backgrounds

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 58, Issue 12, 1998, Pages

  Giovannini, Massimo ^a,b  

^a DAMTP   (United Kingdom)

^b TUFTS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039799566     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.124027     Document Type: Article

References (82)

1. Ya. B. Zeldovich, A. A. Ruzmaikin, and D. D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach Science, New York, 1983);
2. E. N. Parker, Cosmical Magnetic Fields (Clarendon, Oxford, 1979).
3. P. P. Kronberg, Rep. Prog. Phys. 57, 325 (1994).
4. M. J. Rees and M. Rheinhardt, Astron. Astrophys. 19, 189 (1972).
5. Ya. B. Zeldovich and I. D. Novikov, The Structure and the Evolution of the Universe (University of Chicago Press, Chicago, 1982).
6. G. Greenstein, Nature (London) 223, 938 (1969);
7. J. J. Matese and R. F. O’Connel, Astrophys. J. 160, 451 (1970);
8. B. Cheng, A. Olinto, D. N. Schramm, and J. Truran, Phys. Rev. D 54, 4714 (1996);
9. D. Grasso and H. Rubinstein, Astropart. Phys. 3, 95 (1995);
10. D. GrassoH. RubinsteinPhys. Lett. B 379, 73 (1996);
11. P. Kernan, G. Starkman, and T. Vachaspati, Phys. Rev. D 54, 7207 (1996).
12. A. Kosowsky and A. Loeb, Astrophys. J. 461, 1 (1996);
13. M. Giovannini, Phys. Rev. D 56, 3198 (1997).
14. J. Adams, U. Danielsson, D. Grasso, and H. Rubinstein, Phys. Lett. B 388, 253 (1996).
15. M. E. Shaposhnikov, JETP Lett. 44, 465 (1986);
16. M. E. ShaposhnikovNucl. Phys. B287, 757 (1987);
17. Nucl. Phys.M. E. ShaposhnikovB299, 797 (1988).
18. M. Giovannini and M. Shaposhnikov, Phys. Rev. Lett. 80, 22 (1998);
19. Phys. Rev. Lett.J. B. Rehm and K. Jedamzik, 81, 3307 (1998);H. Kurki-Suonio and E. Shivola (work in progress).
20. H. Kurki-Suonio, K. Jedamzik, and G. J. Mathews, Astrophys. J. 43, 50 (1994);
21. Astrophys. J.K. Jedamzik and G. M. Fuller, 423, 33 (1994);
22. Astrophys. J.K. Jedamzik, G. M. Fuller, and G. J. Mathews, 423, 50 (1994).
23. R. A. Malaney and G. J. Mathews, Phys. Rep. 229, 145 (1993);
24. S. Sarkar, Rep. Prog. Phys. 59, 1493 (1996).
25. M. Giovannini and M. Shaposhnikov, Phys. Rev. D 57, 2186 (1998);
26. M. Laine and K. Rummukainen, “The MSSM Electroweak Phase Transition on the Lattice,” hep-lat/9804019;
27. P. Elmfors, K. Enqvist, and K. Kainulainen, “Strongly First Order Electroweak Phase Transition Induced by Primordial Hypermagnetic Fields,” hep-ph/9806403.
28. D. V. Deryagin, D. Yu. Grigoriev, and V. A. Rubakov, Mod. Phys. Lett. A 1, 593 (1986).
29. M. Gasperini, M. Giovannini, and G. Veneziano, Phys. Rev. D 52, 6651 (1995);
30. Phys. Rev. D52R. Durrer, (to be published), gr-qc/9804076.
31. K. Subramanian and J. D. Barrow, Phys. Rev. Lett. 81, 3575 (1998).
32. J. Barrow, Phys. Rev. D 55, 7451 (1997);
33. J. Barrow, P. Ferreira, and J. Silk, Phys. Rev. Lett. 78, 3610 (1997).
34. I. Wasserman, Astrophys. J. 224, 337 (1978).
35. P. J. E. Peebles, The Large Scale Structure of the Universe (Princeton University Press, Princeton, 1980).
36. M. A. Berger and G. B. Field, J. Fluid Mech. 147, 133 (1984).
37. D. Biskamp, Non-linear Magnetohydrodynamics (Cambridge University Press, Cambridge, England, 1994);
38. N. A. Krall and A. W. Trivelpiece, Principles of Plasma Physics (San Francisco Press, San Francisco, 1986).
39. J. Bardeen, Phys. Rev. D 22, 1882 (1980).
40. K. S. Thorne, in 300 Years of Gravitation, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1987);
41. L. P. Grishchuk, Usp. Fiz. Nauk. 156, 297 (1988) [Sov. Phys. Usp. 31, 940 (1988)];
42. B. Allen, in Proceedings of the Les Houches School on Astrophysical Sources of Gravitational Waves, edited by J. Marck and J.P. Lasota (Cambridge University Press, Cambridge, England, 1996).
43. K. S. Thorne and D. MacDonald, Mon. Not. R. Astron. Soc. 198, 339 (1981);
44. K. A. Holcomb, Astrophys. J. 362, 381 (1990);
45. C. P. Dettmann, N. E. Frankel, and V. Kowalenko, Phys. Rev. D 48, 5655 (1993);
46. Phys. Rev. DR. M. Gailis, C. P. Dettmann, N. E. Frankel, and V. Kowalenko, 50, 3847 (1993);
47. Phys. Rev. DA. Sil, N. Banerjee, and S. Chatterjee, 53, 7369 (1995);
48. D.T. Son, “Magnetohydrodynamics of the Early Universe and the Evolution of Primordial Magnetic Fields,” hep-ph/9803412.
49. M. S. Turner and L. M. Widrow, Phys. Rev. D 37, 2743 (1988);
50. B. Ratra, Astrophys. J. Lett. 391, L1 (1992);
51. M. Gasperini, M. Giovannini, and G. Veneziano, Phys. Rev. Lett. 75, 3796 (1995);
52. G. Sigl, A. V. Olinto, and K. Jedamzik, Phys. Rev. D 55, 4582 (1997);
53. T. Vachaspati, Phys. Lett. B 265, 258 (1991);
54. Phys. Lett. BK. Enqvist and P. Olesen, 319, 178 (1993);
55. Phys. Lett. BK. EnqvistP. Olesen329, 195 (1994);
56. T. W. Kibble and A. Vilenkin, Phys. Rev. D 52, 679 (1995);
57. Phys. Rev. DG. Baym, D. Bodeker, and L. McLerran, 53, 662 (1996);
58. M. Joyce and M. Shaposhnikov, Phys. Rev. Lett. 79, 1193 (1997);
59. K. Enqvist, Int. J. Mod. Phys. D 7, 331 (1998).
60. K. Jedamzik, V. Katalinic, and A. V. Olinto, Phys. Rev. D 57, 3264 (1998).
61. P. Olesen, Phys. Lett. B 398, 321 (1997).
62. K. H. Moffat, J. Fluid Mech. 35, 117 (1969);
63. K. Moffat, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, England, 1978).
64. A. F. Rañada, J. Phys. A 25, 1621 (1992);
65. J. Phys. AA. F. Rañada23, L815 (1990).
66. V. F. Mukhanov, H. A. Feldman, and R. H. Brandenberger, Phys. Rep. 215, 203 (1992).
67. L. P. Grishchuk, Zh. Eksp. Teor. Fiz. 67, 825 (1974) [Sov. Phys. JETP 40, 409 (1975)].
68. A. A. Starobinsky, Pis’ma Zh. Eksp. Teor. Fiz. 30, 719 (1979) [JETP Lett. 30, 682 (1979)].
69. L. P. Grishchuk and M. Solokhin, Phys. Rev. D 43, 2566 (1991).
70. B. Allen, Phys. Rev. D 37, 2078 (1988);
71. Phys. Rev. DV. Sahni, 42, 453 (1990);
72. M. Gasperini and M. Giovannini, Phys. Lett. B 282, 36 (1992);
73. M. GasperiniM. GiovanniniPhys. Rev. D 47, 1519 (1993);
74. L. P. Grishchuk, Phys. Rev. Lett. 70, 2371 (1993);
75. M. Giovannini, Phys. Rev. D 55, 595 (1997);
76. Phys. Rev. DM. Giovannini58, 083504 (1998).
77. V. A. Rubakov, M. V. Sazhin, and A. V. Veryaskin, Phys. Lett. 115B, 89 (1982);
78. L. F. Abbott and M. B. Wise, Nucl. Phys. B244, 541 (1984);
79. L. P. Grishchuk, Phys. Rev. D 48, 3513 (1993).
80. V. Kaspi, J. Taylor, and M. Ryba, Astrophys. J. 428, 713 (1994).
81. K. Danzmann et al., “LISA Pre-Phase A Report,” Report No. MPQ 208, Max-Plank-Institut, Garching, Germany.
82. V. F. Schwartzman, Pis’ma Zh. Eksp. Teor. Fiz. 9, 315 (1969) [JETP Lett. 9, 184 (1969)].