Zel'dovich states with very small mass and charge in nonlinear electrodynamics coupled to gravity

O.B. Zaslavskii1

Abstract

It is shown that, in nonlinear (in particular, Born-Infeld) electrodynamics in the framework of general relativity, there exist "weakly singular" configurations such that (i) the proper mass M is finite despite divergences of the energy density, (ii) the electric charge q and the Schwarzschild mass m ~ q can be made as small as one likes, and (iii) all field and energy distributions are concentrated in the core region. This region has an almost zero surface area but a finite longitudinal size L = 2M. Such configurations can be viewed as a new version of a classical analogue of an elementary particle.

References

  1. M. Born and L. Infeld, Proc. Roy. Soc, A 144, 425 (1934).
  2. K. A. Bronnikov and G. N. Shikin, in: Classical and Quantum Theory of Gravity (Trudy IF AN BSSR, Minsk, 1976, p. 88, in Russian).
  3. K. A. Bronnikov, V. N. Melnikov, G.N. Shikin, and K. P. Staniukovich, Ann. Phys. (N.Y.) 118, 84 (1979).
  4. K. A. Bronnikov, Phys. Rev. Lett. 85, 4641 (2000).
  5. K. A. Bronnikov, Phys. Rev. D 63, 044005 (2001).
  6. S. H. Mazharimousavi and M. Hallisoy, Phys. Lett. B 678, 407 (2009).
  7. G. N. Shikin, Foundations of Soliton Theory in General Relativity (Moscow, URSS, 1995, in Russian).
  8. M. A. Markov, Ann. Phys. 59, 109 (1970).
  9. W. B. Bonnor and F. I. Cooperstock, Phys. Lett. A 139, 442 (1989).
  10. Ya. B. Zel'dovich. Zh. Eksp. Teor. Fiz. 42, 641 (1962) [Soviet Phys. JETP 15, 446 (1962)].
  11. V. A. Berezin, Nucl. Phys. B 661, 409 (2003).
  12. O. B. Zaslavskii, Gen. Rel. Grav. 38, 945 (2006).
  13. C. Leibovicz and W. Israel. Phys. Rev. 1, 3226 (1970).
  14. M. A. Markov and V. P. Frolov, Teor. Mat. Fiz. 13, 41 (1972) [Theor. Math. Phys. 13, 965, 1972].
  15. M. A. Markov, Uspekhi Fiz. Nauk 111, 3 (1973) [Sov. Phys. Uspekhi 16, 587 (1973)].
  16. V. A. Berezin, Teor. Mat. Fiz. 44, 421 (1980) [Theor. Math. Phys. 44, 836 (1980)].
  17. P. I. Fomin and V. V. Kuzmichev, Phys. Rev. D 49, 1854 (1994).
For more information about this paper please visit Springer's Home Page of this paper.



Back to The Contents Page