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Advances in Mathematical Physics
Volume 2017 (2017), Article ID 1035381, 10 pages
https://doi.org/10.1155/2017/1035381
Review Article

Basic Generic Properties of Regular Rotating Black Holes and Solitons

1A. F. Ioffe Physico-Technical Institute, Politekhnicheskaja 26, St. Petersburg 194021, Russia
2Department of Mathematics and Computer Science, University of Warmia and Mazury, Sloneczna 54, 10-710 Olsztyn, Poland

Correspondence should be addressed to Irina Dymnikova; lp.ude.mwu@aniri

Received 30 April 2017; Revised 14 June 2017; Accepted 29 August 2017; Published 16 October 2017

Academic Editor: Stephen C. Anco

Copyright © 2017 Irina Dymnikova and Evgeny Galaktionov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Iso, H. Umetsu, and F. Wilczek, “Anomalies, Hawking radiations, and regularity in rotating black holes,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 74, no. 4, Article ID 044017, 044017, 10 pages, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. F. Caravelli and L. Modesto, “Spinning loop black holes,” Classical and Quantum Gravity, vol. 27, no. 24, Article ID 245022, 245022, 31 pages, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. C. Bambi and L. Modesto, “Rotating regular black holes,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 721, no. 4-5, pp. 329–334, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. B. Toshmatov, B. Ahmedov, A. Abdujabbarov, and Z. Stuchlík, “Rotating regular black hole solution,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 89, no. 10, Article ID 104017, 2014. View at Publisher · View at Google Scholar · View at Scopus
  5. J. C. Neves and A. Saa, “Regular rotating black holes and the weak energy condition,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 734, pp. 44–48, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. S. G. Ghosh and S. D. Maharaj, “Radiating Kerr-like regular black hole,” The European Physical Journal C, vol. 75, no. 1, article no. 7, 2015. View at Publisher · View at Google Scholar · View at Scopus
  7. S. G. Ghosh, “A nonsingular rotating black hole,” The European Physical Journal C, vol. 75, no. 11, article no. 532, pp. 1–7, 2015. View at Publisher · View at Google Scholar · View at Scopus
  8. S. Takeuchi, “Hawking fluxes and anomalies in rotating regular black holes with a time-delay,” Classical and Quantum Gravity, vol. 33, no. 22, Article ID 225016, 225016, 23 pages, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. T. De Lorenzo, A. Giusti, and S. Speziale, “Non-singular rotating black hole with a time delay in the center,” General Relativity and Gravitation, vol. 48, no. 3, Art. 31, 22 pages, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. R. Torres and F. Fayos, “On regular rotating black holes,” General Relativity and Gravitation, vol. 49, no. 1, Art. 2, 9 pages, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  11. E. T. Newman and A. I. Janis, “Note on the Kerr spinning-particle metric,” Journal of Mathematical Physics, vol. 6, pp. 915–917, 1965. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. M. Gürses and F. Gürsey, “Lorentz covariant treatment of the Kerr-Schild geometry,” Journal of Mathematical Physics, vol. 16, no. 12, pp. 2385–2390, 1975. View at Publisher · View at Google Scholar · View at MathSciNet
  13. R. P. Kerr and A. Schild, “Some algebraically degenerate solutions of Einsteins gravitational field equations,” in Proceedings of Symposium in Applied Mathematics, vol. 17, 1965.
  14. L. Modesto and P. Nicolini, “Charged rotating noncommutative black holes,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 82, no. 10, Article ID 104035, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. I. Dymnikova, “Vacuum nonsingular black hole,” General Relativity and Gravitation, vol. 24, no. 3, pp. 235–242, 1992. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. I. G. Dymnikova, “De Sitter-SCHwarzschild black hole: its particlelike core and thermodynamical properties,” International Journal of Modern Physics D: Gravitation, Astrophysics, Cosmology, vol. 5, no. 5, pp. 529–540, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  17. I. G. Dymnikova, “The algebraic structure of a cosmological term in spherically symmetric solutions,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 472, no. 1-2, pp. 33–38, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. I. Dymnikova, “The cosmological term as a source of mass,” Classical and Quantum Gravity, vol. 19, no. 4, pp. 725–739, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. E. Poisson and W. Israel, “Structure of the black hole nucleus,” Classical and Quantum Gravity, vol. 5, no. 12, pp. L201–L205, 1988. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. I. Dymnikova, “Spherically symmetric space-time with regular de Sitter center,” International Journal of Modern Physics D: Gravitation, Astrophysics, Cosmology, vol. 12, no. 6, pp. 1015–1034, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. E. T. Newman, E. Couch, K. Chinnapared, A. Exton, A. Prakash, and R. Torrence, “Metric of a rotating, charged mass,” Journal of Mathematical Physics, vol. 6, pp. 918-919, 1965. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Physical Review Letters, vol. 11, pp. 237-238, 1963. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. S. Chandrasekhar, The Mathematical Theory of Black Holes, The Clarendon Press, New York, NY, USA, 1983. View at MathSciNet
  24. A. Burinskii, E. Elizalde, S. R. Hildebrandt, and G. Magli, “Regular sources of the Kerr-Schild class for rotating and nonrotating black hole solutions,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 65, no. 6, Article ID 064039, 064039, 15 pages, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. I. Dymnikova, “Spinning superconducting electrovacuum soliton,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 639, no. 3-4, pp. 368–372, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. I. Dymnikova, “Electromagnetic source for the Kerr-Newman geometry,” International Journal of Modern Physics D, vol. 24, no. 14, Article ID 1550094, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  27. I. Dymnikova and E. Galaktionov, “Regular rotating electrically charged black holes and solitons in non-linear electrodynamics minimally coupled to gravity,” Classical and Quantum Gravity, vol. 32, no. 16, Article ID 165015, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  28. I. Dymnikova and E. Galaktionov, “Regular rotating de Sitter--Kerr black holes and solitons,” Classical and Quantum Gravity, vol. 33, no. 14, Article ID 145010, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  29. S. Coleman, “Classical lumps and their quantum descendants,” in New Phenomena in Subnuclear Physics, A. Zichichi, Ed., p. 297, 1977. View at Google Scholar
  30. R. M. Wald, General Relativity, University of Chicago Press, 1984. View at Publisher · View at Google Scholar · View at MathSciNet
  31. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, London, UK, 1973. View at MathSciNet
  32. R. R. Caldwell, “A phantom menace? Cosmological consequences of a dark energy component with super-negative equation of state,” Physics Letters B, vol. 545, no. 1-2, pp. 23–29, 2002. View at Publisher · View at Google Scholar
  33. I. Dymnikova, “Regular electrically charged vacuum structures with de Sitter centre in nonlinear electrodynamics coupled to general relativity,” Classical and Quantum Gravity, vol. 21, no. 18, pp. 4417–4428, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. M. Born and L. Infeld, “Foundations of the new field theory,” in Proceedings of the Royal Society of London A, vol. 144, p. 425, 1934.
  35. E. S. Fradkin and A. A. Tseytlin, “Nonlinear electrodynamics from quantized strings,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 163, no. 1-4, pp. 123–130, 1985. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  36. A. A. Tseytlin, “Vector field effective action in the open superstring theory,” Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems, vol. 276, no. 2, pp. 391–428, 1986. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  37. K. A. Bronnikov, “Regular magnetic black holes and monopoles from nonlinear electrodynamics,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 63, no. 4, Article ID 044005, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  38. I. Dymnikova, E. Galaktionov, and E. Tropp, “Existence of electrically charged structures with regular center in nonlinear electrodynamics minimally coupled to gravity,” Advances in Mathematical Physics, Article ID 496475, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  39. B. Carter, “Global structure of the Kerr family of gravitational fields,” Physical Review A: Atomic, Molecular and Optical Physics, vol. 174, no. 5, pp. 1559–1571, 1968. View at Publisher · View at Google Scholar · View at Scopus
  40. J. Tiomno, “Electromagnetic field of rotating charged bodies,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 7, no. 4, pp. 992–997, 1973. View at Publisher · View at Google Scholar · View at Scopus
  41. A. Burinskii and S. R. Hildebrandt, “New type of regular black holes and particlelike solutions from nonlinear electrodynamics,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 65, no. 10, Article ID 104017, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  42. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, E. M. Lifshitz and L. P. Pitaevskij, Eds., vol. 9 of Statistical Physics, Part 2, Theory of the Condensed State, Pergamon Press, 1981. View at MathSciNet
  43. C. A. López, “Extended model of the electron in general relativity,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 30, no. 3, pp. 313–316, 1984. View at Publisher · View at Google Scholar
  44. A. Burinskii, “Gravitating lepton bag model,” Journal of Experimental and Theoretical Physics, vol. 121, no. 2, pp. 194–205, 2015. View at Publisher · View at Google Scholar · View at Scopus
  45. W. Israel, “Source of the Kerr metric,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 2, pp. 641–646, 1970. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  46. I. Dymnikova, “Elementary Superconductivity in Nonlinear Electrodynamics Coupled to Gravity,” Journal of Gravity, vol. 2015, pp. 1–7, 2015. View at Publisher · View at Google Scholar
  47. A. Burinskii, “Kerr–Newman electron as spinning soliton,” International Journal of Modern Physics A, vol. 29, no. 26, Article ID 1450133, 2014. View at Publisher · View at Google Scholar
  48. I. Dymnikova, A. Sakharov, and J. Ulbricht, “Appearance of a minimal length in e+e annihilation,” Advances in High Energy Physics, vol. 2014, Article ID 707812, 9 pages, 2014. View at Publisher · View at Google Scholar · View at Scopus
  49. S. M. Carroll, M. Hoffman, and M. Trodden, “Can the dark energy equation-of-state parameter w be less than −1?” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 68, Article ID 023509, 2003. View at Publisher · View at Google Scholar
  50. K. A. Bronnikov and S. G. Rubin, “Black holes, cosmology and extra dimensions,” Black Holes, Cosmology and Extra Dimensions, pp. 1–427, 2012. View at Publisher · View at Google Scholar · View at Scopus
  51. I. Dymnikova, “Spacetime symmetry and mass of a lepton,” Journal of Physics A: Mathematical and Theoretical, vol. 41, no. 30, Article ID 304033, 2008. View at Publisher · View at Google Scholar · View at Scopus
  52. D. V. Ahluwalia-Khalilova and I. Dymnikova, “A theoretical case for negative mass-square for sub-eV particles,” International Journal of Modern Physics D, vol. 12, no. 9, pp. 1787–1794, 2003. View at Publisher · View at Google Scholar · View at Scopus