Abstract
The “cosmic censorship conjecture” asserts that all singularities arising from gravitational collapse are hidden within black holes. We investigate this conjecture in a setup of interest for tests of general relativity: black hole solutions which are parametrically small deviations away from the Kerr solution. These solutions have an upper bound on rotation, beyond which a naked singularity is visible to outside observers. We study whether these (generic) spacetimes can be spun-up past extremality with point particles or accretion disks. Our results show that cosmic censorship is preserved for generic parameterizations. We also present examples of special geometries which can be spun-up past extremality.
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Notes
Point-like particles are a very useful proxy for other more complex and realistic scenarios, such as accretion.
This intriguing result does not contradict a recent claim that regular BHs can be destroyed through the same gedanken experiment of throwing point particles [29]; firstly, because Ref. [29] considers finite-mass particles, while neglecting back-reaction effects. Secondly, even if regular black holes can be destroyed, they are not harbouring a singularity. In that sense, should the results of Ref. [29] be correct in the limit that the particle is massless, it would be one more evidence that the central singularity indeed plays an important role in the protection of the surrounding event horizon.
References
Berti, E. et al.: arXiv:1501.07274 [gr-qc]
Teukolsky, S.A.: Class. Quantum Gravity 32(12), 124006 (2015). arXiv:1410.2130 [gr-qc]
Dafermos, M., Rodnianski, I.: In: Exner, P. (ed.) XVIth International Congress on Mathematical Physics, pp. 421–433. World Scientific, London (2009). arXiv:1010.5137 [gr-qc]
Cardoso, V., Gualtieri, L., Herdeiro, C., Sperhake, U.: Living Rev. Relativ. 18, 1 (2015). arXiv:1409.0014 [gr-qc]
Wald, R.: Ann. Phys. 82, 548–4556 (1974)
Bouhmadi-Lopez, M., Cardoso, V., Nerozzi, A., Rocha, J.V.: Phys. Rev. D 81, 084051 (2010). arXiv:1003.4295 [gr-qc]
Barausse, E., Cardoso, V., Khanna, G.: Phys. Rev. Lett. 105, 261102 (2010). arXiv:1008.5159 [gr-qc]
Barausse, E., Cardoso, V., Khanna, G.: Phys. Rev. D 84, 104006 (2011). arXiv:1106.1692 [gr-qc]
Colleoni, M., Barack, L.: Phys. Rev. D 91, 104024 (2015). arXiv:1501.07330 [gr-qc]
Rocha, J.V., Cardoso, V.: Phys. Rev. D 83, 104037 (2011). arXiv:1102.4352 [gr-qc]
Wald, R.M.: In: Iyer, B.R., et al. (eds.) Black Holes, Gravitational Radiation and the Universe, pp. 69–85 [gr-qc/9710068]
Cardoso, V., Gualtieri, L., Herdeiro, C., Sperhake, U.: arXiv:1409.0014 [gr-qc]
Sperhake, U., Cardoso, V., Pretorius, F., Berti, E., Hinderer, T., Yunes, N.: Phys. Rev. Lett. 103, 131102 (2009). arXiv:0907.1252 [gr-qc]
Sperhake, U., Berti, E., Cardoso, V., Pretorius, F.: Phys. Rev. Lett. 111(4), 041101 (2013). arXiv:1211.6114 [gr-qc]
Herdeiro, C.A.R., Radu, E.: Phys. Rev. Lett. 112, 221101 (2014). arXiv:1403.2757 [gr-qc]
Yunes, N., Stein, L.C.: Phys. Rev. D 83, 104002 (2011). arXiv:1101.2921 [gr-qc]
Pani, P., Macedo, C.F.B., Crispino, L.C.B., Cardoso, V.: Phys. Rev. D 84, 087501 (2011). arXiv:1109.3996 [gr-qc]
Ghasemi-Nodehi, M., Li, Z., Bambi, C.: Eur. Phys. J. C 757, 315 (2015). arXiv:1506.02627 [gr-qc]
Jiang, J., Bambi, C., Steiner, J.F.: arXiv:1504.01970 [gr-qc]
Bambi, C.: arXiv:1507.05257 [gr-qc]
Moore, C.J., Gair, J.R.: arXiv:1507.02998 [gr-qc]
Johannsen, T., Psaltis, D.: Phys. Rev. D 83, 124015 (2011). 1105.3191 [gr-qc]
Johannsen, T., Psaltis, D.: Astrophys. J. 773, 57 (2013)
Cardoso, V., Pani, P., Rico, J.: Phys. Rev. D 89, 064007 (2014). arXiv:1401.0528 [gr-qc]
Bambi, C., Lukes-Gerakopoulos, G.: Phys. Rev. D 87(8), 083006 (2013). arXiv:1302.0565 [gr-qc]
Bambi, C.: arXiv:1509.03884 [gr-qc]
Johannsen, T.: Phys. Rev. D 87(12), 124017 (2013). arXiv:1304.7786 [gr-qc]
Jacobson, T., Sotiriou, T.P.: Phys. Rev. Lett. 103, 141101 (2009) [Phys. Rev. Lett. 103, 209903 (2009)]. arXiv:0907.4146 [gr-qc]
Li, Z., Bambi, C.: Phys. Rev. D 87(12), 124022 (2013). arXiv:1304.6592 [gr-qc]
Gao, S., Zhang, Y.: Phys. Rev. D 87(4), 044028 (2013). arXiv:1211.2631 [gr-qc]
Hod, S.: Phys. Rev. D 87(2), 024037 (2013). arXiv:1302.6658 [gr-qc]
Rocha, J. V., Santarelli, R.: Phys. Rev. D 89(6), 064065 (2014). arXiv:1402.4840 [gr-qc]
Zhang, Y., Gao, S.: Int. J. Mod. Phys. D 23, 1450044 (2014). arXiv:1309.2027 [gr-qc]
Gwak, B., Lee, B.H.: arXiv:1509.06691 [gr-qc]
Acknowledgments
We thank Jorge Rocha and Masashi Kimura for useful comments and feedback. V.C. acknowledges financial support provided under the European Union’s FP7 ERC Starting Grant “The dynamics of black holes: testing the limits of Einstein’s theory” Grant Agreement No. DyBHo-256667 and H2020 ERC Consolidator Grant “Matter and strong-field gravity: New frontiers in Einstein’s theory” Grant Agreement No. MaGRaTh-646597. This research was supported in part by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development and Innovation. This work was supported by the H2020-MSCA-RISE-2015 Grant No. StronGrHEP-690904.
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Cardoso, V., Queimada, L. Cosmic censorship and parametrized spinning black-hole geometries. Gen Relativ Gravit 47, 150 (2015). https://doi.org/10.1007/s10714-015-1990-5
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DOI: https://doi.org/10.1007/s10714-015-1990-5