Thermodynamic surface system of static black holes and area law

Ming Chen; Yong-Chang Huang

doi:10.1088/1674-1137/40/11/113101

Chinese Physics C> 2016, Vol. 40> Issue(11) : 113101 DOI: 10.1088/1674-1137/40/11/113101

Thermodynamic surface system of static black holes and area law

Ming Chen ^1,, ,
Yong-Chang Huang ^1,2,,

1.
Institute of Theoretical Physics, Beijing University of Technology, Beijing 100124, China
2.
Institute of Theoretical Physics, Beijing University of Technology, Beijing 100124, China
3.
CCAST(World Lab.), P. O. Box 8730, Beijing 100080, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We propose a new picture of black holes through a special holographic screen. This holographic screen contains all the degrees of freedom of a black hole. We find that this holographic screen is similar to the ordinary thermodynamic surface system. Meanwhile, through the "white-wall box" and the formula of sound velocity, we find some similarities between gravitons and photons. We further assume that such a holographic screen is a kind of Bose-Einstein condensate of gravitons. Through this assumption and those similarities, we finally get the area law of static black holes.
- black holes ,
- holographic screen ,
- surface system ,
- white-wall box ,
- Bose-Einstein condensates ,
- area law

References

[1]	S.W Hawking, Phys. Rev. Lett., 70: 1344(1971)
[2]	J.D Bekenstein, Nuovo Cimento Lett., 4: 737-740(1972)
[3]	J.D Bekenstein, Phys. Rew. D, 7: 2333-2346(1973)
[4]	J.D Bekenstein, Phys. Rew. D, 9: 3292-3300(1974)
[5]	J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys., 31: 161-170(1973)
[6]	S.W Hawking, Commun. Math. Phys., 43: 199(1975)
[7]	T.Jacobson, Phy. Rev. Lett., 75: 7(1995)
[8]	G.t Hooft[arXiv:gr-qc/9310026]; L.Susskind, J. Math. Phys, 36: 6377(1995)
[9]	J. M. Maldacena, Adv. Theor.Math. Phys., 2: 231(1998); S.S.Gubser, I.R.Klebanov, and A.M.Polyyakov, Phys. Lett.B, 428: 105(1998); E.Witten, Adv. Theor. Math. Phys., 2: 253(1998); O.Aharony, S.S. Gubser, J. Maldacena, H.Ooguri, and Y.Oz, Phys. Rep., 323: 183(2000)
[10]	S. L. Braunstein, S. Pirandola, and K. Zyczkowski, Phys.Rev. Lett., 110: 101301(2013); A. Almheiri, D. Marolf, J. Polchinski, and J. Sully, J. High Energy Phys., 02: 062(2013); S. L. Braunstein[arXiv:0907.1190]
[11]	J. M. Maldacena, Int. J. Theor. Phys., 38: 1113(1990)
[12]	T. Padmanabhan, Rep. Prog. Phys., 73: 046901(2010)
[13]	Tadashi Takayanagi[arXiv: 1204.2450v1]
[14]	E. P. Verlinde, J. High Energy Phys., 1104: 029(2011)
[15]	Yu-Xiao Liu, Yong-Qiang Wang, and Shao-Wen Wei, Class. Quant. Grav., 27: 185002(2010)[arXiv:1002.1062]; Rong-Gen Cai, Li-Ming Cao, and Nobuyoshi Ohta, Phys. Rev. D, 81: 084012(2010),[arXiv:1002.1136]; Shao-Wen Wei, Yu-Xiao Liu, and Yong-Qiang Wang, Commun. Theor. Phys., 56: 455-458(2011)[arXiv:1001.5238]
[16]	A. Almheiri, D. Marolf, J. Polchinski, and J. Sully, J. High Energy Phys., 1302: 062(2013)
[17]	T. Padmanabhan[arXiv:0308070v2]
[18]	W. G. Unruh, Phys. Rev. Lett., 46: 1351(1981)
[19]	M. Visser[arXiv:gr-qc/9311028]
[20]	C. Barcel, S. Liberati, and M. Visser, Living Rev.Relativity, 8: 12(2005)
[21]	G. Dvali and C. Gomez, Fortschr. Phys, 61: 742(2013); Eur. Phys. J. C, 74: 2752(2014);[arXiv:1212.0765];[arXiv: 1307.7630]; J. Cosmol. Astropart. Phys., 01: 023(2014); G. Dvali and C. Gomez, Phys. Lett. B, 719: 419(2013);[arXiv:1403.6850]
[22]	J. Klaers, F. Vewinger and M. Weitz, Nature Physics, 06: 512(2010)
[23]	J. Klaers, J. Schmitt, F. Vewinger, and M. Weitz, Nature, 468: 545-548(2010)
[24]	G. Dvali and C. Gomez[arXiv:1207.4059v1]
[25]	S. Weinberg, Gravitation and Cosmology (Sons, Inc: John Wiley, 1972), p. 1-20
[26]	Xiao-Gang Wen,[arXiv:1210.1281v2].
[27]	Xiao-Gang Wen, Phys. Rev. D, 68: 065003(2003)

[1]	Chao Zhang , Tao Zhu . Linear instability of hairy black holes in Horndeski theory. Chinese Physics C, 2024, 48(7): 075106. doi: 10.1088/1674-1137/ad3eff
[2]	Kimet Jusufi . Charged AdS black holes with finite electrodynamics in 4D Einstein-Gauss-Bonnet gravity. Chinese Physics C, 2023, 47(3): 035108. doi: 10.1088/1674-1137/acaaf4
[3]	Xu Ye , Zi-Qing Chen , Ming-Da Li , Shao-Wen Wei . QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes. Chinese Physics C, 2022, 46(11): 115102. doi: 10.1088/1674-1137/ac814d
[4]	Fabián H. Zuluaga , Luis A. Sánchez . Black holes in asymptotic safety with higher derivatives: accretion and stability analysis. Chinese Physics C, 2021, 45(7): 075102. doi: 10.1088/1674-1137/abf72d
[5]	Peng Wang , Houwen Wu , Shuxuan Ying . Validity of thermodynamic laws and weak cosmic censorship for AdS black holes and black holes in a cavity. Chinese Physics C, 2021, 45(5): 055105. doi: 10.1088/1674-1137/abeb5e
[6]	Bogeun Gwak . Thermodynamics in rotating anti-de Sitter black holes with massive scalar field in three dimensions. Chinese Physics C, 2020, 44(12): 125106. doi: 10.1088/1674-1137/abb656
[7]	M. Umar Farooq , Ayyesha K. Ahmed , Rong-Jia Yang , Mubasher Jamil . Accretion on high derivative asymptotically safe black holes. Chinese Physics C, 2020, 44(6): 065102. doi: 10.1088/1674-1137/44/6/065102
[8]	Inyong Cho , Hyeong-Chan Kim . Simple black holes with anisotropic fluid. Chinese Physics C, 2019, 43(2): 025101. doi: 10.1088/1674-1137/43/2/025101
[9]	Qing-Hua He . An energy sum constraint of event mixing for Bose-Einstein correlations in reactions with ππX final states around 1 GeV. Chinese Physics C, 2018, 42(7): 074004. doi: 10.1088/1674-1137/42/7/074004
[10]	Hong Ma , Jin Li . Gravitational quasinormal modes of static Einstein-Gauss-Bonnet anti-de Sitter black holes. Chinese Physics C, 2018, 42(4): 045101. doi: 10.1088/1674-1137/42/4/045101
[11]	Sheng-Xian Zhao , Shuang-Nan Zhang . Exact solutions for spherical gravitational collapse around a black hole: the effect of tangential pressure. Chinese Physics C, 2018, 42(8): 085101. doi: 10.1088/1674-1137/42/8/085101
[12]	Yi Ling , Zhuoyu Xian , Zhenhua Zhou . Power law of shear viscosity in Einstein-Maxwell-Dilaton-Axion model. Chinese Physics C, 2017, 41(2): 023104. doi: 10.1088/1674-1137/41/2/023104
[13]	null . Acceleration of particles in Einstein-Maxwell-dilaton black holes. Chinese Physics C, 2017, 41(6): 065101. doi: 10.1088/1674-1137/41/6/065101
[14]	Ciprian A. Sporea . Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes. Chinese Physics C, 2017, 41(12): 123101. doi: 10.1088/1674-1137/41/12/123101
[15]	Qing-Hua He , H. Fujimurala , H. Fukasawa , R. Hashimoto , Y. Honda , T. Ishikawa , T. Iwata . An event mixing technique for Bose-Einstein correlations of two pions in photoproduction around 1 GeV. Chinese Physics C, 2016, 40(11): 114002. doi: 10.1088/1674-1137/40/11/114002
[16]	LIANG Jun , LIU Yan-Chun , ZHU Qiao . Thermodynamics of noncommutative geometry inspired black holes based on Maxwell-Boltzmann smeared mass distribution. Chinese Physics C, 2014, 38(2): 025101. doi: 10.1088/1674-1137/38/2/025101
[17]	HAN Yi-Wen , CHEN Gang , LAN Ming-Jian . Legendre transformations and the thermodynamic geometry of 5D black holes. Chinese Physics C, 2013, 37(3): 035101. doi: 10.1088/1674-1137/37/3/035101
[18]	ZHANG Zhan-Jun , MA Qing-Shan , ZHANG Jun . Critical temperature and condensed fraction of Bose-Einstein condensation in an external potential. Chinese Physics C, 2011, 35(8): 722-724. doi: 10.1088/1674-1137/35/8/005
[19]	LI Xi-Guo , JIA Duo-Jie , GAO Yuan . Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate. Chinese Physics C, 2003, 27(1): 12-14.
[20]	Feng Zhonghan , Sa Benhao , Wang Ruihong . π^－π^－ Bose-Einstein Correlation at AGS Energies. Chinese Physics C, 1996, 20(2): 142-147.

Access

Get Citation

Ming Chen and Yong-Chang Huang. Thermodynamic surface system of static black holes and area law[J]. Chinese Physics C, 2016, 40(11): 113101. doi: 10.1088/1674-1137/40/11/113101

Ming Chen and Yong-Chang Huang. Thermodynamic surface system of static black holes and area law[J]. Chinese Physics C, 2016, 40(11): 113101. doi: 10.1088/1674-1137/40/11/113101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-05-13
Revised: 2016-06-03

Fund

Supported by National Natural Science Foundation of China (11275017, 11173028)

Article Metric

Article Views(1669)
PDF Downloads(101)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Thermodynamic surface system of static black holes and area law

Corresponding author: Ming Chen,

Corresponding author: Yong-Chang Huang,

1. Institute of Theoretical Physics, Beijing University of Technology, Beijing 100124, China

2. Institute of Theoretical Physics, Beijing University of Technology, Beijing 100124, China

3. CCAST(World Lab.), P. O. Box 8730, Beijing 100080, China

Received Date: 2016-05-13

Accepted Date: 2016-06-03

Available Online: 2016-11-05

Fund Project: Supported by National Natural Science Foundation of China (11275017, 11173028)

Abstract: We propose a new picture of black holes through a special holographic screen. This holographic screen contains all the degrees of freedom of a black hole. We find that this holographic screen is similar to the ordinary thermodynamic surface system. Meanwhile, through the "white-wall box" and the formula of sound velocity, we find some similarities between gravitons and photons. We further assume that such a holographic screen is a kind of Bose-Einstein condensate of gravitons. Through this assumption and those similarities, we finally get the area law of static black holes.

HTML

Reference (27)

Thermodynamic surface system of static black holes and area law

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article