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Advances in High Energy Physics
Volume 2013, Article ID 236974, 4 pages
http://dx.doi.org/10.1155/2013/236974
Research Article

A Little Quantum Help for Cosmic Censorship and a Step Beyond All That

Division of Theoretical Physics, Department of Physics, University of Ioannina, 451 10 Ioannina, Greece

Received 27 September 2013; Revised 26 November 2013; Accepted 29 November 2013

Academic Editor: Christian Corda

Copyright © 2013 Nikolaos Pappas. 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. W. Hawking and R. Penrose, “The singularities of gravitational collapse and cosmology,” Proceedings of the Royal Society A, vol. 314, no. 1519, pp. 529–548, 1970. View at Publisher · View at Google Scholar
  2. R. Penrose, “Gravitational collapse: the role of general relativity,” Revisita del Nuovo Cimento I, vol. 1, pp. 252–276, 1969. View at Google Scholar
  3. R. Penrose, “Singularities of space-time,” in Theoretical Principles in Astrophysics and Relativity, N. R. Lebovitz, W. H. Reid, and P. O. Vandervoort, Eds., pp. 217–243, University of Chicago Press, 1978. View at Google Scholar
  4. R. Geroch, “What is a singularity in general relativity?” Annals of Physics, vol. 48, no. 3, pp. 526–540, 1968. View at Google Scholar · View at Scopus
  5. J. Earman, Bangs, Crunches, Whimpers and Shrieks, Oxford University Press, 1995.
  6. R. Penrose, “The question of cosmic censorship,” in Black Holes and Relativistic Stars, R. Wald, Ed., pp. 103–122, University of Chicago Press, 1998. View at Google Scholar
  7. R. M. Wald, “Gravitational collapse and cosmic censorship,” http://arxiv.org/abs/gr-qc/9710068.
  8. T. P. Singh, “Gravitational collapse, black holes and naked singularities,” Journal of Astrophysics & Astronomy, vol. 20, pp. 221–232, 1999. View at Google Scholar
  9. W. A. Hiscock, “Magnetic charge, black holes, and cosmic censorship,” Annals of Physics, vol. 131, no. 2, pp. 245–268, 1981. View at Publisher · View at Google Scholar
  10. J. D. Bekenstein and C. Rosenzweig, “Stability of the black hole horizon and the Landau ghost,” Physical Review D, vol. 50, no. 12, pp. 7239–7143, 1994. View at Publisher · View at Google Scholar
  11. V. E. Hubeny, “Overcharging a black hole and cosmic censorship,” Physical Review D, vol. 59, Article ID 064013, 12 pages, 1999. View at Publisher · View at Google Scholar
  12. T. C. Quinn and R. M. Wald, “Energy conservation for point particles undergoing radiation reaction,” Physical Review D, vol. 60, no. 6, Article ID 064009, 20 pages, 1999. View at Publisher · View at Google Scholar
  13. S. Hod, “Black-hole polarization and cosmic censorship,” Physical Review D, vol. 60, no. 10, Article ID 104031, 3 pages, 1999. View at Publisher · View at Google Scholar
  14. R. Geroch, E. H. Kronheimer, and R. Penrose, “Ideal points in space-time,” Proceedings of the Royal Society of London A, vol. 327, pp. 545–567, 1972. View at Google Scholar
  15. R. Penrose, “Naked Singularities,” Annals of the New York Academy of Sciences, vol. 224, pp. 125–134, 1973. View at Publisher · View at Google Scholar
  16. R. Geroch, “Energy extraction,” Annals of the New York Academy of Sciences, vol. 224, pp. 108–117, 1973. View at Publisher · View at Google Scholar
  17. G. W. Gibbons, Communications in Mathematical Physics, vol. 27, p. 87, 1972.
  18. T. Willmore and N. J. Hitchin, Global Riemannian Geometry, Ellis Horwood publications, Chichester, UK, 1984.
  19. G. W. Gibbons, Classical and Quantum Gravity, vol. 14, pp. 2905–2915, 1997.
  20. P. S. Jang and R. M. Wald, “The positive energy conjecture and the cosmic censor hypothesis,” Journal of Mathematical Physics, vol. 18, no. 1, article 41, 1977. View at Publisher · View at Google Scholar
  21. G. Huisken and T. Ilmanen, “The riemannian penrose inequality,” International Mathematics Research Notices, vol. 1997, no. 20, pp. 1045–1058, 1997. View at Publisher · View at Google Scholar
  22. A. Krolak, “Towards the proof of the cosmic censorship hypothesis,” Classical and Quantum Gravity, vol. 3, no. 3, pp. 267–280, 1986. View at Publisher · View at Google Scholar
  23. A. Krolak, “Towards the proof of the cosmic censorship hypothesis in cosmological space-times,” Journal of Mathematical Physics, vol. 28, no. 1, pp. 138–141, 1987. View at Publisher · View at Google Scholar
  24. A. Krolak, “Strong cosmic censorship and the strong curvature singularities,” Journal of Mathematical Physics, vol. 28, no. 11, pp. 2685–2687, 1987. View at Publisher · View at Google Scholar
  25. R. P. A. C. Newman, “A theorem of cosmic censorship: a necessary and sufficient condition for future asymptotic predictability,” General Relativity and Gravitation, vol. 16, no. 2, pp. 175–192, 1984. View at Publisher · View at Google Scholar
  26. R. P. A. C. Newman, “Cosmic censorship and conformai transformations,” General Relativity and Gravitation, vol. 16, no. 10, pp. 943–953, 1984. View at Publisher · View at Google Scholar
  27. R. P. A. C. Newman, “Cosmic censorship and the strengths of singularities,” in Topological Properties and Global Structure of Space-Time, P. G. Bergmann and V. de Sabbata, Eds., pp. 153–168, Plenum Press, New York, NY, USA, 1986. View at Publisher · View at Google Scholar
  28. P. T. Chrusciel, J. Isenberg, and V. Moncrief, “Strong cosmic censorship in polarised Gowdy spacetimes,” Classical and Quantum Gravity, vol. 1, no. 10, pp. 1671–1680, 1990. View at Publisher · View at Google Scholar
  29. J. A. Wheeler, in Magic without Magic, J. R. Klauder, Ed., Freeman, San Francisco, Calif, USA, 1972.
  30. P. Yodzis, H. J. Seifert, and H. Muller zum Hagen, “On the occurrence of naked singularities in general relativity,” Communications in Mathematical Physics, vol. 34, no. 2, pp. 135–148, 1973. View at Publisher · View at Google Scholar
  31. P. Chrusciel, “On space-times with U(1) × U(1) symmetric compact Cauchy surfaces,” Annals of Physics, vol. 202, no. 1, pp. 100–150, 1990. View at Publisher · View at Google Scholar
  32. S. Shapiro and S. A. Teukolsky, “Formation of naked singularities: the violation of cosmic censorship,” Physical Review Letters, vol. 66, no. 8, pp. 994–997, 1991. View at Publisher · View at Google Scholar
  33. M. Choptuik, “Universality and scaling in gravitational collapse of a massless scalar field,” Physical Review Letters, vol. 70, no. 1, pp. 9–12, 1993. View at Publisher · View at Google Scholar
  34. D. Christodoulou, “Examples of naked singularity formation in the gravitational collapse of a scalar field,” Annals of Mathematics, vol. 140, no. 3, pp. 607–653, 1994. View at Publisher · View at Google Scholar
  35. B. Steinmuller and J. P. Lasota, “Radiating bodies and naked singularities,” Physics Letters A, vol. 51, no. 4, pp. 191–192, 1975. View at Publisher · View at Google Scholar
  36. K. Lake and C. Hellaby, “Collapse of radiating fluid spheres,” Physical Review D, vol. 24, no. 12, pp. 3019–3022, 1981. View at Publisher · View at Google Scholar
  37. P. S. Joshi, Global Aspects in Gravitation and Cosmology, Clarendon, Oxford, UK, 1993.
  38. R. M. Wald, “On perturbations of a Kerr black hole,” Journal of Mathematical Physics, vol. 14, no. 10, pp. 1453–1461, 1973. View at Google Scholar · View at Scopus
  39. S. Hod, “Return of the quantum cosmic censor,” Physics Letters B, vol. 668, no. 4, pp. 346–349, 2008. View at Google Scholar
  40. G. E. A. Matsas, M. Richartz, A. Saa, A. R. R. da Silva, and D. A. T. Vanzella, “Can quantum mechanics fool the cosmic censor?” Physical Review D, vol. 79, Article ID 101502, 2009. View at Google Scholar
  41. S. Hod and T. Piran, “Cosmic censorship: the role of quantum gravity,” General Relativity and Gravitation, vol. 32, pp. 2333–2338, 2000. View at Google Scholar
  42. C. Corda, S. H. Hendi, R. Katebi, and N. O. Schmidt, “Effective state, Hawking radiation and quasi-normal modes for Kerr black holes,” Journal of High Energy Physics, vol. 2013, article 8, 2013. View at Google Scholar
  43. C. Corda, “Effective temperature, Hawking radiation and quasinormal modes,” International Journal of Modern Physics D, vol. 21, no. 11, Article ID 1242023, 2012. View at Google Scholar
  44. C. Corda, “Effective state, Hawking radiation and quasi-normal modes for Kerr black holes,” Journal of High Energy Physics, vol. 2013, article 8, 2013. View at Google Scholar
  45. C. Corda, “Black hole quantum spectrum,” The European Physical Journal C, vol. 73, article 2665, 2013. View at Google Scholar
  46. R. Geroch, “Domain of dependence,” Journal of Mathematical Physics, vol. 11, no. 2, pp. 437–449, 1970. View at Google Scholar · View at Scopus