- Open Access
Cosmic Censorship in a Dual Collider
Phys. Rev. Lett. 135, 031501 – Published 15 July, 2025
DOI: https://doi.org/10.1103/dsrc-4yp2
Abstract
We investigate cosmic censorship in anti–de Sitter space in holographic models in which the ground state is described by a good singularity. These include supersymmetric truncations of string/M theory, for which a positive-energy theorem holds. At the boundary, our solutions describe a boost-invariant fluid in which the temperature decreases monotonically with time. On the gravity side, they correspond to black-brane spacetimes with a receding horizon. In classical gravity, curvature invariants at the horizon grow without bound. In the full theory this regime may or may not be reached. In some cases it is avoided by a phase transition to a regular geometry. In others it is reached but the boundary hydrodynamic evolution can be continued, provided the equation of state at parametrically small energies is known. Both cases require the inclusion of finite- or finite-coupling effects.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (80)
- R. Penrose, Riv. Nuovo Cimento 1, 252 (1969).
- M. W. Choptuik, Phys. Rev. Lett. 70, 9 (1993).
- R. Gregory and R. Laflamme, Phys. Rev. Lett. 70, 2837 (1993).
- L. Lehner and F. Pretorius, Phys. Rev. Lett. 105, 101102 (2010).
- P. Figueras, T. França, C. Gu, and T. Andrade, Phys. Rev. D 107, 044028 (2023).
- P. Figueras, M. Kunesch, and S. Tunyasuvunakool, Phys. Rev. Lett. 116, 071102 (2016).
- T. Andrade, R. Emparan, D. Licht, and R. Luna, J. High Energy Phys. 04 (2019) 121.
- T. Andrade, R. Emparan, D. Licht, and R. Luna, J. High Energy Phys. 09 (2019) 099.
- T. Andrade, P. Figueras, and U. Sperhake, J. High Energy Phys. 03 (2022) 111.
- F. C. Eperon, B. Ganchev, and J. E. Santos, Phys. Rev. D 101, 041502(R) (2020).
- R. Emparan, Int. J. Mod. Phys. D 29, 2043021 (2020).
- G. T. Horowitz, J. E. Santos, and B. Way, Classical Quantum Gravity 33, 195007 (2016).
- T. Crisford and J. E. Santos, Phys. Rev. Lett. 118, 181101 (2017).
- G. W. Gibbons, C. M. Hull, and N. P. Warner, Nucl. Phys. B218, 173 (1983).
- P. Breitenlohner and D. Z. Freedman, Ann. Phys. (N.Y.) 144, 249 (1982).
- P. Breitenlohner and D. Z. Freedman, Phys. Lett. 115B, 197 (1982).
- P. K. Townsend, Phys. Lett. 148B, 55 (1984).
- K. Skenderis and P. K. Townsend, Phys. Lett. B 468, 46 (1999).
- A. J. Amsel, T. Hertog, S. Hollands, and D. Marolf, Phys. Rev. D 75, 084008 (2007); 77, 049903(E) (2008).
- S. S. Gubser, Adv. Theor. Math. Phys. 4, 679 (2000).
- J. D. Bjorken, Phys. Rev. D 27, 140 (1983).
- R. A. Janik and R. B. Peschanski, Phys. Rev. D 73, 045013 (2006).
- U. Gursoy, M. Jarvinen, and G. Policastro, J. High Energy Phys. 01 (2016) 134.
is of the “” type in the language of [19].
This is outside the double-quantization region [26].
- I. R. Klebanov and E. Witten, Nucl. Phys. B556, 89 (1999).
- M. J. Duff and J. T. Liu, Nucl. Phys. B554, 237 (1999).
- A. F. Faedo, D. Mateos, D. Pravos, and J. G. Subils, J. High Energy Phys. 06 (2017) 153.
- D. Elander, A. F. Faedo, D. Mateos, and J. G. Subils, J. High Energy Phys. 06 (2020) 131.
- M. Cvetic, G. W. Gibbons, H. Lu, and C. N. Pope, Commun. Math. Phys. 232, 457 (2003).
- I. R. Klebanov and S. S. Pufu, J. High Energy Phys. 08 (2011) 035.
- O. J. C. Dias, G. S. Hartnett, B. E. Niehoff, and J. E. Santos, J. High Energy Phys. 11 (2017) 105.
- J. P. Gauntlett, S. Kim, O. Varela, and D. Waldram, J. High Energy Phys. 04 (2009) 102.
- J. P. Gauntlett, J. Sonner, and T. Wiseman, J. High Energy Phys. 02 (2010) 060.
- A. Donos, J. P. Gauntlett, J. Sonner, and B. Withers, J. High Energy Phys. 03 (2013) 108.
- T. Hertog and G. T. Horowitz, J. High Energy Phys. 07 (2004) 073.
- D. Z. Freedman, S. S. Gubser, K. Pilch, and N. P. Warner, J. High Energy Phys. 07 (2000) 038.
- D. Z. Freedman, S. S. Gubser, K. Pilch, and N. P. Warner, Adv. Theor. Math. Phys. 3, 363 (1999).
- L. Girardello, M. Petrini, M. Porrati, and A. Zaffaroni, Nucl. Phys. B569, 451 (2000).
- M. Petrini, H. Samtleben, S. Schmidt, and K. Skenderis, J. High Energy Phys. 07 (2018) 026.
- N. Bobev, F. F. Gautason, B. E. Niehoff, and J. van Muiden, J. High Energy Phys. 10 (2018) 058.
- K. Pilch and N. P. Warner, Adv. Theor. Math. Phys. 4, 627 (2002).
- A. Baguet, O. Hohm, and H. Samtleben, Phys. Rev. D 92, 065004 (2015).
- I. Bena, G. Giecold, M. Grana, N. Halmagyi, and F. Orsi, J. High Energy Phys. 04 (2011) 021.
- D. Cassani and A. F. Faedo, J. High Energy Phys. 05 (2011) 013.
- A. Buchel, J. High Energy Phys. 01 (2019) 207.
- I. R. Klebanov and M. J. Strassler, J. High Energy Phys. 08 (2000) 052.
In general dimensions [49].
- U. Gursoy, J. High Energy Phys. 01 (2011) 086.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/dsrc-4yp2 and references therein [51–61] for the technical details on holographic renormalization, transport and the quasinormal modes.
- Y. Bea, O. J. C. Dias, T. Giannakopoulos, D. Mateos, M. Sanchez-Garitaonandia, J. E. Santos, and M. Zilhao, J. High Energy Phys. 02 (2021) 061.
- G. Policastro, D. T. Son, and A. O. Starinets, Phys. Rev. Lett. 87, 081601 (2001).
- C. Eling and Y. Oz, J. High Energy Phys. 06 (2011) 007.
- R. Baier, P. Romatschke, D. T. Son, A. O. Starinets, and M. A. Stephanov, J. High Energy Phys. 04 (2008) 100.
- A. Jansen, Eur. Phys. J. Plus 132, 546 (2017).
- M. Kaminski, K. Landsteiner, J. Mas, J. P. Shock, and J. Tarrio, J. High Energy Phys. 02 (2010) 021.
- P. Betzios, U. Gürsoy, M. Järvinen, and G. Policastro, Phys. Rev. D 97, 081901 (2018).
- P. Betzios, U. Gürsoy, M. Järvinen, and G. Policastro, Phys. Rev. D 101, 086026 (2020).
- S. Grozdanov, P. K. Kovtun, A. O. Starinets, and P. Tadić, J. High Energy Phys. 11 (2019) 097.
- P. K. Kovtun and A. O. Starinets, Phys. Rev. D 72, 086009 (2005).
- C. Ecker, W. van der Schee, D. Mateos, and J. Casalderrey-Solana, J. High Energy Phys. 03 (2022) 137.
- P. M. Chesler and L. G. Yaffe, Phys. Rev. D 82, 026006 (2010).
- P. M. Chesler and L. G. Yaffe, Phys. Rev. Lett. 102, 211601 (2009).
- P. M. Chesler and L. G. Yaffe, J. High Energy Phys. 07 (2014) 086.
- W. van der Schee, arXiv:1407.1849.
- M. P. Heller, D. Mateos, W. van der Schee, and D. Trancanelli, Phys. Rev. Lett. 108, 191601 (2012).
- M. P. Heller, R. A. Janik, and P. Witaszczyk, Phys. Rev. Lett. 108, 201602 (2012).
- R. Critelli, R. Rougemont, and J. Noronha, Phys. Rev. D 99, 066004 (2019).
- M. Bianchi, D. Z. Freedman, and K. Skenderis, J. High Energy Phys. 08 (2001) 041.
- M. Bianchi, D. Z. Freedman, and K. Skenderis, Nucl. Phys. B631, 159 (2002).
- S. de Haro, S. N. Solodukhin, and K. Skenderis, Commun. Math. Phys. 217, 595 (2001).
- S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, J. High Energy Phys. 02 (2008) 045.
- J. Casalderrey-Solana, J. G. Milhano, D. Pablos, K. Rajagopal, and X. Yao, J. High Energy Phys. 05 (2021) 230.
At late times other effects may appear. For instance, equilibrium velocity fluctuations introduce power-law tails [75].
- P. Kovtun and L. G. Yaffe, Phys. Rev. D 68, 025007 (2003).
More precisely, a gapped phase; see [28].
- P. Bosch, A. Buchel, and L. Lehner, J. High Energy Phys. 07 (2017) 135.
- U. Gürsoy, A. Jansen, and W. van der Schee, Phys. Rev. D 94, 061901(R) (2016).
- L. Bellantuono, R. A. Janik, J. Jankowski, and H. Soltanpanahi, J. High Energy Phys. 10 (2019) 146.
- M. Aragonès Fontboté, D. Mateos, G. Pérez Martín, W. van der Schee, and J. G. Subils, Cosmic censorship in a (dual) collider—code and data release, Zenodo v2 (2025), 10.5281/zenodo.15596189.