Abstract
We consider the properties of electric and magnetic fields in vacuum in the neighborhood of static, spherically symmetric wormholes. Although certain aspects of this problem have been considered before, some important features remained undiscovered. We study in detail the properties of electric and magnetic fields in the case of quasi-adiabatic motion of field sources near an Ellis-Bronnikov wormhole and the passage of such sources through the wormhole. An exact solution is found in closed form for a wormhole immersed in a magnetic field that is homogeneous at infinity, as well as an exact solution for a dipolar field without sources. The properties of electromagnetic fields are important for possible observational manifestations of wormholes in astrophysics.
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References
J. A. Wheeler, Phys. Rev. 97, 511 (1955).
J. A. Wheeler, Geometrodynamics (Academic, New York, 1962).
V. Frolov and I. Novikov, Phys. Rev. D 42, 1057 (1990).
A. V. Tutukov and A. V. Fedorova, Astron. Zh. 83, 880 (2006) [Astron. Rep. 50, 785 (2006)].
N. S. Kardashev, I. D. Novikov, and A. Shatskiy, Int. J.Mod. Phys. D 16, 909 (2007).
A. M. Cherepashchuk, Vestn. Mosk. Univ., Fiz. Astron. 2, 62 (2005).
B. Linet, arXiv:0712.0539 [gr-qc] (2007).
N. R. Khusnutdinov and I. V. Bakhmatov, Phys. Rev. D 76, 124 015 (2007); arXiv:0707.3396 [gr-qc] (2007).
S. Krasnikov, Class. Quant. Grav. 25, 245 018 (2008); arXiv:0802.1358 [astro-ph] (2008).
B. Linet, J. Phys. A 9, 1081 (1976).
H. G. Ellis, J.Math. Phys. 14, 104 (1973).
K. A. Bronnikov, Acta Phys. Polon. B 4, 251 (1973).
M. S. Morris and K. S. Thorn, Am. J. Phys. 56, 395 (1988).
J. M. Cohen and R. M. Wald, J.Math. Phys. 12, 1845 (1971).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 2000; Fizmatgiz, Moscow, 1962).
N. S. Koshlyakov, E. B. Gliner, and M. M. Smirnov, Differential Equations of Mathematical Physics (Vysshaya Shkola, Moscow, 1970) [in Russian].
V. S. Beskin, Axisymmetric Stationary Flows in Astrophysics (Fizmatlit, Moscow, 2005) [in Russian].
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Original Russian Text © V.S. Beskin, N.S. Kardashev, I.D. Novikov, A.A. Shatskii, 2011, published in Astronomicheskii Zhurnal, 2011, Vol. 88, No. 9, pp. 819–827.
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Beskin, V.S., Kardashev, N.S., Novikov, I.D. et al. Electric and magnetic fields in the astrophysics of wormholes. Astron. Rep. 55, 753–760 (2011). https://doi.org/10.1134/S1063772911090022
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DOI: https://doi.org/10.1134/S1063772911090022