Magnetic Neutral Points and Electric Lines of Force in Strong Gravity of a Rotating Black Hole
ABSTRACT
Magnetic field can be amplified and twisted near a supermassive black hole residing in a galactic nucleus. At the same time magnetic null points develop near the horizon. We examine a large-scale oblique magnetic field near a rotating (Kerr) black hole as an origin of magnetic layers, where the field direction changes abruptly in the ergosphere region. In consequence of this, magnetic null points can develop by purely geometrical effects of the strong gravitational field and the frame-dragging mechanism. We identify magnetic nulls as possible sites of magnetic reconnection and suggest that particles may be accelerated efficiently by the electric component. The situation we discuss is relevant for starving nuclei of some galaxies which exhibit episodic accretion events, namely, Sagittarius A* black hole in our Galaxy.
Cite this paper
V. Karas, O. Kopáček and D. Kunneriath, "Magnetic Neutral Points and Electric Lines of Force in Strong Gravity of a Rotating Black Hole," International Journal of Astronomy and Astrophysics, Vol. 3 No. 3, 2013, pp. 18-24. doi: 10.4236/ijaa.2013.33A003.
V. Karas, O. Kopáček and D. Kunneriath, "Magnetic Neutral Points and Electric Lines of Force in Strong Gravity of a Rotating Black Hole," International Journal of Astronomy and Astrophysics, Vol. 3 No. 3, 2013, pp. 18-24. doi: 10.4236/ijaa.2013.33A003.
References
[1] A. Eckart, R. Schodel and C. Straubmeier, “The Black Hole at the Center of the Milky Way,” Imperial College Press, London, 2005. [2] F. Melia, “The Galactic Supermassive Black Hole,” Princeton University Press, Princeton, 2007. [3] R. Beck and R. Wielebinski, “Magnetic Fields in Galaxies, in Planets, Stars and Stellar Systems,” In: T. D. Oswalt and G. Gilmore, Eds., Springer, Vol. 5, 2013. arXiv:1302.5663 [4] M. C. Begelman, R. D. Blandford and M. Rees, Reviews of Modern Physics, Vol. 56, 1984, p. 255. doi:10.1103/RevModPhys.56.255 [5] A. Eckart, F. K. Baganoff, M. Zamaninasab, et al., Astronomy & Astrophysics, Vol. 479, 2008, p. 625. [6] R. Genzel, F. Eisenhauer and S. Gillessen, Reviews of Modern Physics, Vol. 82, 2010, p. 3121. doi:10.1103/RevModPhys.82.3121 [7] E. Boldt and P. Ghosh, Monthly Notices of the Royal Astronomical Society, Vol. 307, 1999, p. 491. doi:10.1046/j.1365-8711.1999.02600.x [8] A. Levinson, Physical Review Letters, Vol. 85, 2000, p. 912. doi:10.1103/PhysRevLett.85.912 [9] M. Morris, Journal of Physics: Conference Series, Vol. 54, 2006, p. 1. doi:10.1088/1742-6596/54/1/001 [10] M. Morris, K. Uchida and T. Do, Nature, Vol. 440, 2006, p. 308. doi:10.1038/nature04554 [11] M. P. Muno, F. K. Baganoff, W. N. Brandt, M. R. Morris and J.-L. Starck, Astrophysical Journal, Vol. 673, 2008, p. 251. doi:10.1086/521641 [12] W. J. Duschl and H. Lesch, Astronomy & Astrophysics, Vol. 286, 1994, p. 431. [13] S. Markoff, H. Falcke, F. Yuan and P. L. Biermann, Astronomy & Astrophysics, Vol. 379, 2001, p. L13. [14] E. Priest and T. Forbes, “Magnetic Reconnection,” Cambridge University Press, Cambridge, 2000, [15] B. V. Somov, “Plasma Astrophysics,” Astr. Sp. Sci. Lib., Vol. 341, Springer, New York, 2006. [16] F. K. Baganoff, M. W. Bautz, W. N. Brandt, et al., Nature, Vol. 413, 2001, p. 45. doi:10.1038/35092510 [17] R. Genzel, R. Schodel, T. Ott, et al., Nature, Vol. 425, 2003, p. 934. doi:10.1038/nature02065 [18] Porquet, D., Predehl, P., Aschenbach, B., et al., Astronomy & Astrophysics, Vol. 407, 2003, p. L17. doi:10.1051/0004-6361:20030983 [19] S. Liu, F. Melia and V. Petrosian, Astrophysical Journal, Vol. 636, 2006, p. 798. doi:10.1086/498128 [20] S. Liu, F. Melia, V. Petrosian and M. Fatuzzo, Astrophysical Journal, Vol. 647, 2006, p. 1099. doi:10.1086/505171 [21] D. R. Ballantyne, F. Melia, S. Liu and R. M. Crocker, Astrophysical Journal Letters, Vol. 657, 2007, p. L13. doi:10.1086/513103 [22] V. Karas, O. Kopáek and D. Kunneriath, Classical and Quantum Gravity, Vol. 29, 2012, Article ID: 035010. doi:10.1088/0264-9381/29/3/035010 [23] V. Karas and D. Vokrouhlicky, Astrophysical Journal, Vol. 422, 1994, p. 208. doi:10.1086/173719 [24] A. Merloni, M. Vietri, L. Stella and D. Bini, Monthly Notices of the Royal Astronomical Society, Vol. 304, 1999, p. 155. [25] J. W. Dungey, Physical Review Letters, Vol. 6, 1961, p. 47. doi:10.1103/PhysRevLett.6.47 [26] C. Fendt and J. Greiner, Astronomy & Astrophysics, Vol. 369, 2001, p. 308. doi:10.1051/0004-6361:20010108 [27] S. Koide, Astrophysical Journal Letters, Vol. 606, 2004, p. L45. doi:10.1086/420976 [28] S. S. Komissarov, M. V. Barkov, N. Vlahakis and A. Konigl, Monthly Notices of the Royal Astronomical Society, Vol. 380, 2007, p. 51. doi:10.1111/j.1365-2966.2007.12050.x [29] J. H. Krolik, J. F. Hawley and S. Hirose, Astrophysical Journal, Vol. 622, 2005, p. 1008. doi:10.1086/427932 [30] S. Markoff and H. Falcke, AN, Vol. 324, 2003, p. 445. [31] R. F. Coker and F. Melia, Astrophysical Journal Letters, Vol. 488, 1997, p. L149. doi:10.1086/310925 [32] J. Cuadra, S. Nayakshin and F. Martins, Monthly Notices of the Royal Astronomical Society, Vol. 383, 2008, p. 458. [33] A. R. King, W. Kundt and J. P. Lasota, Physical Review D, Vol. 12, 1975, p. 3037. doi:10.1103/PhysRevD.12.3037 [34] R. M. Wald, Physical Review D, Vol. 10, 1974, p. 1680. doi:10.1103/PhysRevD.10.1680 [35] J. Bicák, and L. Dvocák, General Relativity and Gravitation, Vol. 7, 1976, p. 959. doi:10.1007/BF00766421 [36] J. Bicák and V. Janis, Monthly Notices of the Royal Astronomical Society, Vol. 212, 1980, p. 899. [37] S. S. Komissarov and J. C. McKinney, Monthly Notices of the Royal Astronomical Society, Vol. 377, 2007, p. L49. [38] A. Neronov and F. A. Aharonian, Astrophysical Journal, Vol. 671, 2007, p. 85. doi:10.1086/522199 [39] A. Tomimatsu, Astrophysical Journal, Vol. 528, 2000, p. 972. doi:10.1086/308190 [40] A. N. Aliev and D. V. Galtsov, Soviet Physics, Vol. 32, 1989, p. 75. doi:10.1070/PU1989v032n01ABEH002677 [41] V. Karas, Physical Review D, Vol. 40, 1989, p. 2121. doi:10.1103/PhysRevD.40.2121 [42] C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” W. H. Freeman & Co, New York, 1973. [43] L. I. Petrich, S. L. Shapiro and S. A. Teukolsky, Physical Review Letters, Vol. 60, 1988, p. 1781. doi:10.1103/PhysRevLett.60.1781
[1] A. Eckart, R. Schodel and C. Straubmeier, “The Black Hole at the Center of the Milky Way,” Imperial College Press, London, 2005. [2] F. Melia, “The Galactic Supermassive Black Hole,” Princeton University Press, Princeton, 2007. [3] R. Beck and R. Wielebinski, “Magnetic Fields in Galaxies, in Planets, Stars and Stellar Systems,” In: T. D. Oswalt and G. Gilmore, Eds., Springer, Vol. 5, 2013. arXiv:1302.5663 [4] M. C. Begelman, R. D. Blandford and M. Rees, Reviews of Modern Physics, Vol. 56, 1984, p. 255. doi:10.1103/RevModPhys.56.255 [5] A. Eckart, F. K. Baganoff, M. Zamaninasab, et al., Astronomy & Astrophysics, Vol. 479, 2008, p. 625. [6] R. Genzel, F. Eisenhauer and S. Gillessen, Reviews of Modern Physics, Vol. 82, 2010, p. 3121. doi:10.1103/RevModPhys.82.3121 [7] E. Boldt and P. Ghosh, Monthly Notices of the Royal Astronomical Society, Vol. 307, 1999, p. 491. doi:10.1046/j.1365-8711.1999.02600.x [8] A. Levinson, Physical Review Letters, Vol. 85, 2000, p. 912. doi:10.1103/PhysRevLett.85.912 [9] M. Morris, Journal of Physics: Conference Series, Vol. 54, 2006, p. 1. doi:10.1088/1742-6596/54/1/001 [10] M. Morris, K. Uchida and T. Do, Nature, Vol. 440, 2006, p. 308. doi:10.1038/nature04554 [11] M. P. Muno, F. K. Baganoff, W. N. Brandt, M. R. Morris and J.-L. Starck, Astrophysical Journal, Vol. 673, 2008, p. 251. doi:10.1086/521641 [12] W. J. Duschl and H. Lesch, Astronomy & Astrophysics, Vol. 286, 1994, p. 431. [13] S. Markoff, H. Falcke, F. Yuan and P. L. Biermann, Astronomy & Astrophysics, Vol. 379, 2001, p. L13. [14] E. Priest and T. Forbes, “Magnetic Reconnection,” Cambridge University Press, Cambridge, 2000, [15] B. V. Somov, “Plasma Astrophysics,” Astr. Sp. Sci. Lib., Vol. 341, Springer, New York, 2006. [16] F. K. Baganoff, M. W. Bautz, W. N. Brandt, et al., Nature, Vol. 413, 2001, p. 45. doi:10.1038/35092510 [17] R. Genzel, R. Schodel, T. Ott, et al., Nature, Vol. 425, 2003, p. 934. doi:10.1038/nature02065 [18] Porquet, D., Predehl, P., Aschenbach, B., et al., Astronomy & Astrophysics, Vol. 407, 2003, p. L17. doi:10.1051/0004-6361:20030983 [19] S. Liu, F. Melia and V. Petrosian, Astrophysical Journal, Vol. 636, 2006, p. 798. doi:10.1086/498128 [20] S. Liu, F. Melia, V. Petrosian and M. Fatuzzo, Astrophysical Journal, Vol. 647, 2006, p. 1099. doi:10.1086/505171 [21] D. R. Ballantyne, F. Melia, S. Liu and R. M. Crocker, Astrophysical Journal Letters, Vol. 657, 2007, p. L13. doi:10.1086/513103 [22] V. Karas, O. Kopáek and D. Kunneriath, Classical and Quantum Gravity, Vol. 29, 2012, Article ID: 035010. doi:10.1088/0264-9381/29/3/035010 [23] V. Karas and D. Vokrouhlicky, Astrophysical Journal, Vol. 422, 1994, p. 208. doi:10.1086/173719 [24] A. Merloni, M. Vietri, L. Stella and D. Bini, Monthly Notices of the Royal Astronomical Society, Vol. 304, 1999, p. 155. [25] J. W. Dungey, Physical Review Letters, Vol. 6, 1961, p. 47. doi:10.1103/PhysRevLett.6.47 [26] C. Fendt and J. Greiner, Astronomy & Astrophysics, Vol. 369, 2001, p. 308. doi:10.1051/0004-6361:20010108 [27] S. Koide, Astrophysical Journal Letters, Vol. 606, 2004, p. L45. doi:10.1086/420976 [28] S. S. Komissarov, M. V. Barkov, N. Vlahakis and A. Konigl, Monthly Notices of the Royal Astronomical Society, Vol. 380, 2007, p. 51. doi:10.1111/j.1365-2966.2007.12050.x [29] J. H. Krolik, J. F. Hawley and S. Hirose, Astrophysical Journal, Vol. 622, 2005, p. 1008. doi:10.1086/427932 [30] S. Markoff and H. Falcke, AN, Vol. 324, 2003, p. 445. [31] R. F. Coker and F. Melia, Astrophysical Journal Letters, Vol. 488, 1997, p. L149. doi:10.1086/310925 [32] J. Cuadra, S. Nayakshin and F. Martins, Monthly Notices of the Royal Astronomical Society, Vol. 383, 2008, p. 458. [33] A. R. King, W. Kundt and J. P. Lasota, Physical Review D, Vol. 12, 1975, p. 3037. doi:10.1103/PhysRevD.12.3037 [34] R. M. Wald, Physical Review D, Vol. 10, 1974, p. 1680. doi:10.1103/PhysRevD.10.1680 [35] J. Bicák, and L. Dvocák, General Relativity and Gravitation, Vol. 7, 1976, p. 959. doi:10.1007/BF00766421 [36] J. Bicák and V. Janis, Monthly Notices of the Royal Astronomical Society, Vol. 212, 1980, p. 899. [37] S. S. Komissarov and J. C. McKinney, Monthly Notices of the Royal Astronomical Society, Vol. 377, 2007, p. L49. [38] A. Neronov and F. A. Aharonian, Astrophysical Journal, Vol. 671, 2007, p. 85. doi:10.1086/522199 [39] A. Tomimatsu, Astrophysical Journal, Vol. 528, 2000, p. 972. doi:10.1086/308190 [40] A. N. Aliev and D. V. Galtsov, Soviet Physics, Vol. 32, 1989, p. 75. doi:10.1070/PU1989v032n01ABEH002677 [41] V. Karas, Physical Review D, Vol. 40, 1989, p. 2121. doi:10.1103/PhysRevD.40.2121 [42] C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” W. H. Freeman & Co, New York, 1973. [43] L. I. Petrich, S. L. Shapiro and S. A. Teukolsky, Physical Review Letters, Vol. 60, 1988, p. 1781. doi:10.1103/PhysRevLett.60.1781