Abstract
We investigate the interior of the Einstein-Gauss-Bonnet charged black-hole with scalar hair. We find a variety of dynamical epochs, with the particular important feature that the Cauchy horizon is not present. This makes the violation of the no-hair theorem a possible tool to understand how might the strong cosmic censorship conjecture work.
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R. P. Geroch, The domain of dependence, J. Math. Phys. 11 (1970) 437 [INSPIRE].
M. Simpson and R. Penrose, Internal instability in a Reissner-Nordstrom black hole, Int. J. Theor. Phys. 7 (1973) 183 [INSPIRE].
S. A. Hartnoll, G. T. Horowitz, J. Kruthoff and J. E. Santos, Gravitational duals to the grand canonical ensemble abhor Cauchy horizons, JHEP 10 (2020) 102 [arXiv:2006.10056] [INSPIRE].
S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, Building a Holographic Superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [INSPIRE].
S. S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [INSPIRE].
S. A. Hartnoll, G. T. Horowitz, J. Kruthoff and J. E. Santos, Diving into a holographic superconductor, SciPost Phys. 10 (2021) 009 [arXiv:2008.12786] [INSPIRE].
R.-G. Cai, L. Li and R.-Q. Yang, No Inner-Horizon Theorem for Black Holes with Charged Scalar Hairs, JHEP 03 (2021) 263 [arXiv:2009.05520] [INSPIRE].
R. Ruffini and J. A. Wheeler, Introducing the black hole, Phys. Today 24 (1971) 30 [INSPIRE].
I. Amado, M. Kaminski and K. Landsteiner, Hydrodynamics of Holographic Superconductors, JHEP 05 (2009) 021 [arXiv:0903.2209] [INSPIRE].
I. Amado, D. Arean, A. Jimenez-Alba, K. Landsteiner, L. Melgar and I. S. Landea, Holographic Type II Goldstone bosons, JHEP 07 (2013) 108 [arXiv:1302.5641] [INSPIRE].
J. E. Chase, Event horizons in static scalar-vacuum space-times, Commun. Math. Phys. 19 (1970) 276.
J. D. Bekenstein, Nonexistence of baryon number for static black holes, Phys. Rev. D 5 (1972) 1239 [INSPIRE].
C. A. R. Herdeiro and E. Radu, Asymptotically flat black holes with scalar hair: a review, Int. J. Mod. Phys. D 24 (2015) 1542014 [arXiv:1504.08209] [INSPIRE].
M. S. Volkov and D. V. Galtsov, Black holes in Einstein Yang-Mills theory (in Russian), Sov. J. Nucl. Phys. 51 (1990) 747 [INSPIRE].
K.-M. Lee and E. J. Weinberg, Charge black holes with scalar hair, Phys. Rev. D 44 (1991) 3159 [INSPIRE].
S. Hod, Stationary Scalar Clouds Around Rotating Black Holes, Phys. Rev. D 86 (2012) 104026 [Erratum ibid. 86 (2012) 129902] [arXiv:1211.3202] [INSPIRE].
C. A. R. Herdeiro and E. Radu, Kerr black holes with scalar hair, Phys. Rev. Lett. 112 (2014) 221101 [arXiv:1403.2757] [INSPIRE].
A. E. Mayo and J. D. Bekenstein, No hair for spherical black holes: Charged and nonminimally coupled scalar field with selfinteraction, Phys. Rev. D 54 (1996) 5059 [gr-qc/9602057] [INSPIRE].
N. Grandi and I. Salazar Landea, Scalar Hair Around Charged Black Holes in Einstein-Gauss-Bonnet Gravity, Phys. Rev. D 97 (2018) 044042 [arXiv:1711.01643] [INSPIRE].
Y. Brihaye and B. Hartmann, Critical phenomena of charged Einstein-Gauss-Bonnet black holes with charged scalar hair, Class. Quant. Grav. 35 (2018) 175008 [arXiv:1804.10536] [INSPIRE].
S. Hod, Kerr-Newman black holes with stationary charged scalar clouds, Phys. Rev. D 90 (2014) 024051 [arXiv:1406.1179] [INSPIRE].
M. Dafermos, Stability and Instability of the Cauchy Horizon for the Spherically Symmetric Einstein-Maxwell-Scalar Field Equations, Ann. Math 158 (2003) 875 [INSPIRE].
D. L. Wiltshire, Spherically Symmetric Solutions of Einstein-Maxwell Theory With a Gauss-Bonnet Term, Phys. Lett. B 169 (1986) 36 [INSPIRE].
M. Bañados, Charged black holes in Gauss-Bonnet extended gravity, Phys. Lett. B 579 (2004) 13 [hep-th/0310160] [INSPIRE].
O. Fierro, N. Grandi and J. Oliva, Superradiance of charged black holes in Einstein-Gauss-Bonnet gravity, Class. Quant. Grav. 35 (2018) 105007 [arXiv:1708.06037] [INSPIRE].
J. A. Wheeler, Geons, Phys. Rev. 97 (1955) 511 [INSPIRE].
P. Jetzer and J. J. van der Bij, Charged boson stars, Phys. Lett. B 227 (1989) 341 [INSPIRE].
T. Damour, M. Henneaux, A. D. Rendall and M. Weaver, Kasner like behavior for subcritical Einstein matter systems, Annales Henri Poincaré 3 (2002) 1049 [gr-qc/0202069] [INSPIRE].
I. V. Kirnos, A. N. Makarenko, S. A. Pavluchenko and A. V. Toporensky, The nature of singularity in multidimensional anisotropic Gauss-Bonnet cosmology with a perfect fluid, Gen. Rel. Grav. 42 (2010) 2633 [arXiv:0906.0140] [INSPIRE].
M. Moeckel and S. Kehrein, Interaction quench in the Hubbard model, Phys. Rev. Lett. 100 (2008) 175702.
T. Mori, T. N. Ikeda, E. Kaminishi and M. Ueda, Thermalization and prethermalization in isolated quantum systems: a theoretical overview, J. Phys. B 51 (2018) 112001.
J. Cardy, Thermalization and Revivals after a Quantum Quench in Conformal Field Theory, Phys. Rev. Lett. 112 (2014) 220401 [arXiv:1403.3040] [INSPIRE].
C. Herdeiro, E. Radu and H. Rúnarsson, Kerr black holes with Proca hair, Class. Quant. Grav. 33 (2016) 154001 [arXiv:1603.02687] [INSPIRE].
R. Brito, V. Cardoso, C. A. R. Herdeiro and E. Radu, Proca stars: Gravitating Bose-Einstein condensates of massive spin 1 particles, Phys. Lett. B 752 (2016) 291 [arXiv:1508.05395] [INSPIRE].
I. Salazar Landea and F. García, Charged Proca Stars, Phys. Rev. D 94 (2016) 104006 [arXiv:1608.00011] [INSPIRE].
R. Arias and I. Salazar Landea, Spontaneous current in an holographic s+p superfluid, Phys. Rev. D 94 (2016) 126012 [arXiv:1608.01687] [INSPIRE].
R.-G. Cai, L. Li and L.-F. Li, A Holographic P-wave Superconductor Model, JHEP 01 (2014) 032 [arXiv:1309.4877] [INSPIRE].
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Grandi, N., Landea, I.S. Diving inside a hairy black hole. J. High Energ. Phys. 2021, 152 (2021). https://doi.org/10.1007/JHEP05(2021)152
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DOI: https://doi.org/10.1007/JHEP05(2021)152