Abstract
The thermodynamics and the weak cosmic censorship conjecture (WCCC) in a high dimensional RN − AdSd+ 1 black hole with energy-momentum relation are investigated by absorbing a charged particle in the phase space. In the RN − AdSd+ 1 space-time, the cosmological constant Λ is treated as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume. We use the energy-momentum relation of the absorbed particle to discuss the thermodynamics of the RN − AdSd+ 1 black hole and to prove the WCCC in the phase space. Based on this assumption, we find that the first law and the second law of thermodynamics are satisfied in normal phase space. On the other hand, in the extend phase space, the first law is satisfied and the second law is violated. Then we study the WCCC in the phase space, we find that the WCCC is satisfied for an extreme black and a near-extreme black hole in the normal phase space. In the extend phase space, the WCCC is satisfied for an extreme black hole and unidentified for a near-extreme black hole.
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References
Hawking, S.W., Penrose, R.: The Singularities of gravitational collapse and cosmology. Proc. Roy. Soc. Lond. A 314, 1519 (1970)
Penrose, R.: Gravitational collapse and pace-time singularities. Phys. Rev. Lett. 14, 57–59 (1965)
Penrose, R.: Gravitational collapse: The role of general relativity. Riv. Nuovo Cim. 1, 252 (1969)
Wald, R.: Gedanken experiments to destroy a black hole. Ann. Phys. 82(2), 548–556 (1974)
Sorce, J., Wald, R.: Gedanken experiments to destroy a black hole. II. Kerr-newman black holes cannot be overcharged or overspun. Phys. Rev. D 96, 104014 (2017)
Cohen, J.M., Gautreau, R.: Naked singularities, event horizons, and charged particles. Phys. Rev. D 19, 2273–2279 (1979)
Semiz, I.: Dyon black holes do not violate cosmic censorship. Class. Quantum Grav. 7, 353–359 (1990)
Wang, P., Wu, H.W., Yang, H.T.: Thermodynamics of nonlinear electrodynamics black holes and the validity of weak cosmic censorship at charged particle absorption. Eur. Phys. J. C 79, 572 (2019)
Lsoyama, S., Sago, N., Tanaka, T.: Cosmic censorship in overcharging a Reissner-Nordstromblack hole via charged particle absorption. Phys. Rev. D 84, 124024 (2011)
Chen, D.Y.: Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of Sitter black holes with particles’ absorption. Eur. Phys. J. C 79, 353 (2019)
Mu, B., Tao, J., Peng, W.: Minimal length on thermodynamics and weak cosmic censorship conjecture in sitter black holes via charged particle absorption. Adv. High Energy Phys. 2020, 2612946 (2020)
Liang, J., Guo, X.B., Chen, D.Y., Mu, B.R.: Remarks on the weak cosmic censorship conjecture of RN-ads black holes with cloud of strings and quintessence under the scalar field. Phys. Lett. B 965, 115335 (2021)
Zeng, X.X., Zhang, H.Q.: Thermodynamics and weak cosmic censorship conjecture in Born-Infeld-anti-de Sitter black holes. Chin. Phys. C 45, 025112 (2021)
Ying, S.X.: Thermodynamics and weak cosmic censorship conjecture of 4D Gauss-Bonnet-Maxwell black holes via charged particle absorption. Chin. Phys. C 44, 12501 (2020)
Liang, B., Shao, W.W., Liu, Y.X.: Weak cosmic censorship conjecture in Kerr black holes of modified gravity. Mordern Phys. Lett. A 34(05), 1950037 (2019)
Rui, Y., Liang, J., Mu, B.R.: Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence. Phys. Dark Univ. 32, 100831 (2021)
Hu, S.Q., Ong, Y.C., Page, D.N.: No evidence for violation of the second law in extended black hole thermodynamics. Phys. Rev. D 100, 104022 (2019)
Liu, C.C., Gao, S.J.: Overcharging nonlinear electrodynamic black holes at linear order and the weak cosmic censorship conjecture. Phys. Rev. D 101, 124067 (2020)
Han, Y.W., Zeng, X.X., Hong, Y.: Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole. Eur. Phys. J. C 79, 252 (2019)
Gwak, B.: Thermodynamics and cosmic censorship conjecture in sitter black hole. Entropy 20(11), 855 (2018)
Crisford, T., Horowitz, G.T., Santos, J.E.: Testing the weak gravity cosmic censorship connection. Phys. Rev. D 97, 066005 (2018)
Gim, Y.W., Gwak, B.: Charged black hole in gravity’s rainbow : Violation of weak cosmic censorship. Phys. Lett. B 794, 122–129 (2019)
Richartz, M., Saa, A.: Overspinning a nearly extreme black hole and the Weak Cosmic Censorship conjecture. Phys. Rev. D 78, 081503 (2008)
Zeng, X.X., Hu, X.Y., He, K.J.: Weak cosmic censorship conjecture with pressure and volume in the Gauss-Bonnet AdS black hole. Nuc. Phys. B 949, 114823 (2019)
Yang, S.J., Chen, J., Wan, J.J., Wei, S.W., Liu, Y.X.: Weak cosmic censorship conjecture for a kerr-taub-NUT black hole with a test scalar field and particle. Phys. Rev. D 101, 064048 (2020)
Toth, G.Z.: Weak cosmic censorship, dyonic Kerr-Newman black holes and Dirac fields. Class. Quantum Grav. 33, 115012 (2016)
Chen, D.Y.: Weak cosmic censorship conjecture in BTZ black holes with scalar fields. Chin. Phys. C 44, 015101 (2020)
Toth, G.Z.: Test of the weak cosmic censorship conjecture with a charged scalar field and dynamic Kerr-Newman black holes. Gen. Rel. Grav. 44, 2019–2035 (2012)
Jiang, J., Zhang, M.: Weak cosmic censorship conjecture in Einstein-Maxwell gravity with scalar hair. Eur. Phys. J. C 80, 196 (2020)
Gwak, B.: Weak Cosmic Censorship with Pressure and Volume in Charged Anti-de Sitter Black Hole under Charged Scalar Field. J. Cosmol. Astropart Phys. 08, 016 (2019)
Gwak, B.: Weak cosmic censorship conjecture in Kerr-(anti-)de Sitter black hole with scalar field. J. High Energy Phys., 81 (2018)
Chen, D.Y., Zeng, S.: Overcharging problem and thermodynamics in extended phase spaces. Nuc. Phys. B 957, 115089 (2020)
Koray, D., Mubasher, J., Sanjar, S., Bobomurat, A.: Testing cosmic censorship conjecture for extremal and near-extremal (2 + 1)-dimensional MTZ black holes. Class. Quantum Grav. 37, 175005 (2020)
Duztas, K., Semiz, I.: Cosmic censorship, black holes and integer-spin test fields. Phys. Rev. D 88, 064043 (2013)
Gwak, B.: Thermodynamics and weak cosmic censorship conjecture of an AdS black hole with a monopoly in the extended phase space. J. Cosmol. Astropart Phys. 03, 058 (2020)
Zeng, X.X., Han, Y.W., Chen, D.Y.: Thermodynamics and weak cosmic censorship conjecture of BTZ black holes in extended phase space. Chin. Phys. C 43, 105104 (2019)
Chen, D.Y., Yang, W., Zeng, X.X.: Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstrom anti-de Sitter black holes with scalar field. Nuc. Phys. B 946, 114722 (2019)
Jiang, J., Liu, Y.X., Zhang, M.: Examining the weak cosmic censorship conjecture by gedanken experiments for Kerr-Sen black holes. Phys. Rev. D 100, 084059 (2019)
Figueras, P., Kunesch, M., Tunyasuvunkool, S.: End point of black ring instabilities and the weak cosmic censorship conjecture. Phys. Rev. Lett. 116, 071102 (2016)
Husain, V., Singh, S.: Penrose inequality in anti-de Sitter space. Phys. Rev. D 96, 104055 (2017)
Hod, S.: Weak cosmic censorship: as strong as ever. Phys. Rev. Lett. 100, 121101 (2008)
Hawking, S.W., Page, D.N.: Thermodynamics of Black Holes in anti-De Sitter Space. Commun. Math. Phys. 87, 577 (1983)
Hod, S.: Cosmic censorship: Formation of a shielding horizon around a fragile horizon. Phys. Rev. D 87, 024037 (2013)
David, K., Mann, R.B.: P-v criticality of charged AdS black holes. J High Energy Phys., 33 (2012)
Dolan, B.P.: Pressure and volume in the first law of black hole thermodynamics. Class. Quant. Grav. 28, 235017 (2011)
Wald, R.: The thermodynamics of black holes. Living Reviews in Relativity. 4, 6 (2001)
Hendi, S.H., Vahidinia, M.H.: Extended phase space thermodynamics and P-V criticality of black holes with a nonlinear source. Phys. Rev. D 88(8), 084045 (2013)
Pedraza, J.F., Sybesma, W., Visser, M.R.: Hyperscaling violating black holes with spherical and hyperbolic horizons. Class. Quant. Grav. 36(5), 054002 (2019)
Guo, E.D., Li, M., Sun, J.R.: CFT Dual of charged AdS black hole in the large dimension limit. Int. J. Modern Phys. D, 2550085 (2016)
Hu, S.Q., Liu, B., Kuang, X.M., Yue, R.H.: Revisiting black hole thermodynamics in massive gravity charged particle absorption and infalling shell of dust. Chin. Phys. C 105107, 44 (2020)
Acknowledgments
This work is partly supported by the Meritocracy Research Funds (17YC505), the Fundamental Research Funds (17C054), and the Scientific Research Staring Foundation (15E031) of China West Normal University. And this work is also supported by the Foundation of Sichuan Provincial Education Department (16ZB0170).
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Nie, W.F., Feng, Y.Y. & Lan, X.G. Availability of the thermodynamics and weak cosmic censorship conjecture for a charged AdS black hole in the large dimension limit. Int J Theor Phys 60, 4145–4161 (2021). https://doi.org/10.1007/s10773-021-04965-z
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DOI: https://doi.org/10.1007/s10773-021-04965-z