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  • Letter
  • Open Access

Strong cosmic censorship in two dimensions

Upamanyu Moitra*

  • Department of Theoretical Physics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Colaba, Mumbai—400005, India

  • *upamanyu@theory.tifr.res.in
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Phys. Rev. D 103, L081502 – Published 23 April, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L081502

Abstract

We study the behavior of a free massive scalar wave-packet near the Cauchy horizon of an AdS2 black hole and find that it becomes infinitely differentiable for smooth initial data, independently of the parameters describing the spacetime or the scalar. This indicates a violation of the strong cosmic censorship conjecture at the classical level. We discuss our result in connection with some recent observations of violation of the conjecture for certain nearly extremal black holes.

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References (35)

  1. R. Penrose, in General Relativity: An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979), pp. 581–638.
  2. J. M. McNamara, Proc. R. Soc. A 358, 499 (1978).
  3. S. Chandrasekhar and J. B. Hartle, Proc. R. Soc. A 384, 301 (1982).
  4. E. Poisson and W. Israel, Phys. Rev. Lett. 63, 1663 (1989).
  5. A. Ori, Phys. Rev. Lett. 67, 789 (1991).
  6. P. R. Brady, I. G. Moss, and R. C. Myers, Phys. Rev. Lett. 80, 3432 (1998).
  7. M. Dafermos, Commun. Pure Appl. Math. 58, 0445 (2005).
  8. O. J. C. Dias, H. S. Reall, and J. E. Santos, J. High Energy Phys. 12 (2019) 097.
  9. O. J. C. Dias, H. S. Reall, and J. E. Santos, J. High Energy Phys. 10 (2018) 001.
  10. O. J. C. Dias, H. S. Reall, and J. E. Santos, Classical Quantum Gravity 36, 045005 (2019).
  11. V. Cardoso, J. L. Costa, K. Destounis, P. Hintz, and A. Jansen, Phys. Rev. Lett. 120, 031103 (2018).
  12. H. K. Kunduri, J. Lucietti, and H. S. Reall, Classical Quantum Gravity 24, 4169 (2007).
  13. U. Moitra, S. K. Sake, S. P. Trivedi, and V. Vishal, J. High Energy Phys. 11 (2019) 047.
  14. C. Teitelboim, Phys. Lett. 126B, 41 (1983).
  15. R. Jackiw, Nucl. Phys. B252, 343 (1985).
  16. J. Maldacena, D. Stanford, and Z. Yang, Prog. Theor. Exp. Phys. 2016, 12C104 (2016).
  17. S. Sachdev and J. Ye, Phys. Rev. Lett. 70, 3339 (1993).
  18. A. Y. Kitaev, A simple model of quantum holography, Talks (I, II) presented at the programme Entanglement in Strongly-Correlated Quantum Matter, Kavli Intitute for Theoretical Physics, University of California, Santa Barbara, 2015.
  19. J. Maldacena and D. Stanford, Phys. Rev. D 94, 106002 (2016).
  20. P. Nayak, A. Shukla, R. M. Soni, S. P. Trivedi, and V. Vishal, J. High Energy Phys. 09 (2018) 048.
  21. U. Moitra, S. P. Trivedi, and V. Vishal, J. High Energy Phys. 07 (2019) 055.
  22. U. Moitra, S. K. Sake, S. P. Trivedi, and V. Vishal, J. High Energy Phys. 04 (2020) 199.
  23. V. Balasubramanian and T. S. Levi, Phys. Rev. D 70, 106005 (2004).
  24. K. Papadodimas, S. Raju, and P. Shrivastava, J. High Energy Phys. 12 (2020) 003.
  25. V. Balasubramanian, A. Kar, and G. Sárosi, J. High Energy Phys. 06 (2020) 054.
  26. R. Emparan and M. Tomašević, J. High Energy Phys. 06 (2020) 038.
  27. S. Bhattacharjee, S. Kumar, and S. Sarkar, Phys. Rev. D 102, 044030 (2020).
  28. Actually, purely within the JT model, the CH lies at a region where the dilaton (which couples to the Ricci scalar) turns negative. This is, however, easy to fix—the presence of the toplogical Einstein-Hilbert term with a suitable coefficient could ensure that the coefficient of the Ricci scalar is positive even inside the CH. One can also achieve this by adding other fields. See, e.g., A. Castro, D. Grumiller, F. Larsen, and R. McNees, J. High Energy Phys. 11 (2008) 052.
  29. Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (United States Department of Commerce, National Bureau of Standards, USA, 1972).

  30. The ingoing coordinate is v=t+r* and the outgoing coordinate is u=t−r*, with r*=∫dr(r2−1)−1=12log(|r−1|/|r+1|).

  31. P. Breitenlohner and D. Z. Freedman, Ann. Phys. (N.Y.) 144, 249 (1982).

  32. As emphasized in Ref. [8], this is the relevant region for studying SCC for BHs forming out of collapsing matter, as in, say, [22].

  33. The bifurcate CH (u→−∞) is not too important for our considerations; see Ref. [8].

  34. V. Balasubramanian, P. Kraus, A. E. Lawrence, and S. P. Trivedi, Phys. Rev. D 59, 104021 (1999).
  35. M. Grinberg and J. Maldacena, J. High Energy Phys. 03 (2021) 131.

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Phys. Rev. D 103, L081502– Published 23 April, 2021
  • Received 16 November 2020
  • Accepted 6 April 2021
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