Abstract
In this paper, we investigate the strong cosmic censorship conjecture (SCC) for charged black holes in the de Sitter space by considering the weak gravity conjecture (WGC). Using analytical methods, we find that the SCC is preserved for dS-charged black holes with respect to some restriction qQ » 1 and r+ ≥ Q with the help of the WGC condition viz \( \frac{q}{m} \) ≥ 1 for scalar fields. Where q, m are the charge and mass of the scalar field, and r+, Q determine the radius of the outer event horizon and the charge of the black hole, respectively. In that case, when the (WGC) is valid, SCC will definitely be satisfied for the dS-charged black holes. On the other hand, the SCC is violated when the WGC is not satisfied. Also, we examined the RN-dS charged black hole in the extremality state and found that SCC can be violated with the condition \( \Lambda {r}_{+}^2 \) = 1.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A.K. Mishra and S. Chakraborty, Strong cosmic censorship conjecture in higher curvature gravity, Phys. Rev. D 101 (2020) 064041 [arXiv:1911.09855] [INSPIRE].
C. Singha, S. Chakraborty and N. Dadhich, Strong cosmic censorship conjecture for a charged BTZ black hole, JHEP 06 (2022) 028 [arXiv:2203.07708] [INSPIRE].
C. Singha and N. Dadhich, Strong cosmic censorship conjecture for a charged AdS black hole, arXiv:2209.10153 [INSPIRE].
U. Moitra, Strong cosmic censorship in two dimensions, Phys. Rev. D 103 (2021) L081502 [arXiv:2011.03499] [INSPIRE].
J. Ho, W. Kim and B.-H. Lee, Investigations of strong cosmic censorship in 3-dimensional black strings, JHEP 08 (2022) 018 [arXiv:2202.12561] [INSPIRE].
C.-Y. Shao, L.-J. Xin, W. Zhang and C.-G. Shao, Strong cosmic censorship for a charged black hole surrounded by quintessence, Phys. Lett. B 835 (2022) 137512 [INSPIRE].
M. Casals and C.I.S. Marinho, Glimpses of violation of strong cosmic censorship in rotating black holes, Phys. Rev. D 106 (2022) 044060 [arXiv:2006.06483] [INSPIRE].
V. Cardoso, J.a.L. Costa, K. Destounis, P. Hintz and A. Jansen, Quasinormal modes and Strong Cosmic Censorship, Phys. Rev. Lett. 120 (2018) 031103 [arXiv:1711.10502] [INSPIRE].
R.A. Konoplya and A. Zhidenko, How general is the strong cosmic censorship bound for quasinormal modes?, JCAP 11 (2022) 028 [arXiv:2210.04314] [INSPIRE].
P.R. Brady, I.G. Moss and R.C. Myers, Cosmic censorship: As strong as ever, Phys. Rev. Lett. 80 (1998) 3432 [gr-qc/9801032] [INSPIRE].
W.A. Hiscock, Evolution of the interior of a charged black hole, Phys. Lett. A 83 (1981) 110.
E. Poisson and W. Israel, Internal structure of black holes, Phys. Rev. D 41 (1990) 1796 [INSPIRE].
A. Ori, Inner structure of a charged black hole: An exact mass-inflation solution, Phys. Rev. Lett. 67 (1991) 789 [INSPIRE].
M.L. Gnedin and N.Y. Gnedin, Destruction of the Cauchy horizon in the Reissner-Nordstrom black hole, Class. Quant. Grav. 10 (1993) 1083 [INSPIRE].
P.R. Brady and J.D. Smith, Black hole singularities: A Numerical approach, Phys. Rev. Lett. 75 (1995) 1256 [gr-qc/9506067] [INSPIRE].
S. Hod and T. Piran, Mass inflation in dynamical gravitational collapse of a charged scalar field, Phys. Rev. Lett. 81 (1998) 1554 [gr-qc/9803004] [INSPIRE].
M. Dafermos, Black holes without spacelike singularities, Commun. Math. Phys. 332 (2014) 729 [arXiv:1201.1797] [INSPIRE].
P. Hintz and A. Vasy, Analysis of linear waves near the Cauchy horizon of cosmological black holes, J. Math. Phys. 58 (2017) 081509 [arXiv:1512.08004] [INSPIRE].
S. Klainerman, I. Rodnianski and J. Szeftel, The bounded L2 curvature conjecture, Invent. Math. 202 (2015) 91 [arXiv:1204.1767] [INSPIRE].
E. Palti, The Swampland: Introduction and Review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [INSPIRE].
S. Fichet and P. Saraswat, Approximate Symmetries and Gravity, JHEP 01 (2020) 088 [arXiv:1909.02002] [INSPIRE].
T. Daus, A. Hebecker, S. Leonhardt and J. March-Russell, Towards a Swampland Global Symmetry Conjecture using weak gravity, Nucl. Phys. B 960 (2020) 115167 [arXiv:2002.02456] [INSPIRE].
M. van Beest, J. Calderón-Infante, D. Mirfendereski and I. Valenzuela, Lectures on the Swampland Program in String Compactifications, Phys. Rept. 989 (2022) 1 [arXiv:2102.01111] [INSPIRE].
E. Palti, A Brief Introduction to the Weak Gravity Conjecture, LHEP 2020 (2020) 176 [INSPIRE].
C. Vafa, The String landscape and the swampland, Tech. Rep. HUTP-05-A043 (2005) [INSPIRE].
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001] [INSPIRE].
J. Sadeghi, M. Shokri, S. Gashti Noori and M.R. Alipour, RPS thermodynamics of Taub-NUT AdS black holes in the presence of central charge and the weak gravity conjecture, Gen. Rel. Grav. 54 (2022) 129 [arXiv:2205.03648] [INSPIRE].
J. Sadeghi, M. Shokri, M.R. Alipour and S. Noori Gashti, Weak gravity conjecture from conformal field theory: a challenge from hyperscaling violating and Kerr-Newman-AdS black holes, Chin. Phys. C 47 (2023) 015103 [arXiv:2203.03378] [INSPIRE].
J. Sadeghi, S. Noori Gashti and E. Naghd Mezerji, The investigation of universal relation between corrections to entropy and extremality bounds with verification WGC, Phys. Dark Univ. 30 (2020) 100626 [INSPIRE].
J. Sadeghi, B. Pourhassan, S. Noori Gashti and S. Upadhyay, Weak gravity conjecture, black branes and violations of universal thermodynamics relation, Annals Phys. 447 (2022) 169168 [arXiv:2201.04071] [INSPIRE].
R.A. Konoplya and A. Zhidenko, Massive charged scalar field in the Kerr-Newman background. I: Quasinormal modes, late-time tails and stability, Phys. Rev. D 88 (2013) 024054 [arXiv:1307.1812] [INSPIRE].
S. Hod, Mode coupling in rotating gravitational collapse of a scalar field, Phys. Rev. D 61 (2000) 024033 [gr-qc/9902072] [INSPIRE].
E.N. Mezerji and J. Sadeghi, The correlation of WGC and hydrodynamics bound with R4 correction in the charged AdSd+2 black brane, Nucl. Phys. B 981 (2022) 115858 [arXiv:2202.12253] [INSPIRE].
S. Hod, Strong cosmic censorship in charged black-hole spacetimes: As strong as ever, Nucl. Phys. B 941 (2019) 636 [arXiv:1801.07261] [INSPIRE].
R.A. Konoplya and A. Zhidenko, Charged scalar field instability between the event and cosmological horizons, Phys. Rev. D 90 (2014) 064048 [arXiv:1406.0019] [INSPIRE].
R.A. Konoplya and A. Zhidenko, Quasinormal modes of black holes: From astrophysics to string theory, Rev. Mod. Phys. 83 (2011) 793 [arXiv:1102.4014] [INSPIRE].
J.S. Schwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82 (1951) 664 [INSPIRE].
B. Carter, Charge and particle conservation in black hole decay, Phys. Rev. Lett. 33 (1974) 558 [INSPIRE].
S. Hod, Best approximation to a reversible process in black hole physics and the area spectrum of spherical black holes, Phys. Rev. D 59 (1999) 024014 [gr-qc/9906004] [INSPIRE].
W.T. Zaumen, Upper bound on the electric charge of a black hole, Nature 247 (1974) 530.
S. Iyer and C.M. Will, Black Hole Normal Modes: A WKB Approach. I. Foundations and Application of a Higher Order WKB Analysis of Potential Barrier Scattering, Phys. Rev. D 35 (1987) 3621 [INSPIRE].
S. Iyer, Black Hole Normal Modes: A WKB Approach. II. Schwarzschild Black Holes, Phys. Rev. D 35 (1987) 3632 [INSPIRE].
B.F. Schutz and C.M. Will, Black hole normal modes: a semianalytic approach, Astrophys. J. Lett. 291 (1985) L33 [INSPIRE].
O.J.C. Dias, H.S. Reall and J.E. Santos, Strong cosmic censorship for charged de Sitter black holes with a charged scalar field, Class. Quant. Grav. 36 (2019) 045005 [arXiv:1808.04832] [INSPIRE].
O.J.C. Dias, H.S. Reall and J.E. Santos, Strong cosmic censorship: taking the rough with the smooth, JHEP 10 (2018) 001 [arXiv:1808.02895] [INSPIRE].
V. Cardoso, J.L. Costa, K. Destounis, P. Hintz and A. Jansen, Strong cosmic censorship in charged black-hole spacetimes: still subtle, Phys. Rev. D 98 (2018) 104007 [arXiv:1808.03631] [INSPIRE].
M. Rahman, S. Chakraborty, S. SenGupta and A.A. Sen, Fate of Strong Cosmic Censorship Conjecture in Presence of Higher Spacetime Dimensions, JHEP 03 (2019) 178 [arXiv:1811.08538] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2301.11968
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Sadeghi, J., Alipour, M.R. & Gashti, S.N. Strong cosmic censorship in light of weak gravity conjecture for charged black holes. J. High Energ. Phys. 2023, 236 (2023). https://doi.org/10.1007/JHEP02(2023)236
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2023)236