Analytic solutions in the acoustic black hole analogue of the conical Kerr metric

H. S. Vieira

doi:10.1088/1674-1137/41/4/043105

Chinese Physics C> 2017, Vol. 41> Issue(4) : 043105 DOI: 10.1088/1674-1137/41/4/043105

Analytic solutions in the acoustic black hole analogue of the conical Kerr metric

H. S. Vieira ^1,2,,

1.
Departamento de Fí
2.
Centro de Ciê

Abstract
HTML
Reference
Related

PDF

Abstract：
We study the sound perturbation of a rotating acoustic black hole in the presence of a disclination. The radial part of the massless Klein-Gordon equation is written into a Heun form, and its analytical solution is obtained. These solutions have an explicit dependence on the parameter of the disclination. We obtain the exact Hawking-Unruh radiation spectrum.
- draining bathtub fluid flow ,
- disclination ,
- topological defect ,
- massless Klein-Gordon equation ,
- confluent Heun function ,
- black hole radiation

References

[1]	R. Banerjee, B. R. Majhi, and E. C. Vagenas, Phys. Lett. B, 686:279 (2010)
[2]	P. Fiziev and D. Staicova, Phys. Rev. D, 84:127502 (2011)
[3]	T. Jacobson and A. Satz, Phys. Rev. D, 87:084047 (2013)
[4]	V. B. Bezerra, H. S. Vieira, and A. A. Costa, Class. Quantum Grav., 31:045003 (2014)
[5]	S. W. Hawking, Commun. Math. Phys., 43:199 (1975)
[6]	R. Banerjee, C. Kiefer, and B. R. Majhi, Phys. Rev. D, 82:044013 (2010)
[7]	K. Umetsu, Phys. Lett. B, 692:61 (2010)
[8]	A. Yale, Phys. Lett. B, 697:398 (2011)
[9]	H. S. Vieira, V. B. Bezerra, and A. A. Costa, Europhys. Lett., 109:60006 (2015)
[10]	A. Fabbri and C. Mayoral, Phys. Rev. D, 83:124016 (2011)
[11]	C. Mayoral, A. Fabbri, and M. Rinaldi, Phys. Rev. D, 83:124047 (2011)
[12]	I. Carusotto, S. Fagnocchi, A. Recati, R. Balbinot, and A. Fabbri, New J. Phys., 10:103001 (2011)
[13]	J. Steinhauer, Phys. Rev. D, 92:024043 (2015)
[14]	C. Barcel, S. Liberati, and M. Visser, Class. Quantum Grav., 18:1137 (2001)
[15]	M. Visser, C. Barcel, and S. Liberati, Gen. Rel. Grav., 34:1719 (2002)
[16]	S. R. Das, A. Ghosh, J. H. Oh, and A. D. Shapere, J. High Energy Phys., 04:030 (2011)
[17]	S. J. Robertson, J. Phys. B:At. Mol. Opt. Phys., 45:163001 (2012)
[18]	S. Wster, Phys. Rev. A, 78:021601(R) (2008)
[19]	A. Belenchia, S. Liberati, and A. Mohd, Phys. Rev. D, 90:104015 (2014)
[20]	E. S. Oliveira, S. R. Dolan, and L. C. B. Crispino, Phys. Rev. D, 81:124013 (2010)
[21]	S. R. Dolan, E. S. Oliveira, and L. C. B. Crispino, Phys. Rev. D, 79:064014 (2009)
[22]	E. Berti, V. Cardoso, and J. P. S. Lemos, Phys. Rev. D, 70:124006 (2004)
[23]	T. Jacobson, Phys. Rev. D, 44:1731 (1991)
[24]	T. Jacobson, Phys. Rev. D, 48:728 (1993)
[25]	A. Vilenkin and E. P. S. Shellard Cosmic strings and other topological defects (Cambridge University Press, Cambridge, 1994)
[26]	D. V. Gal'tsov and E. Masr, Class. Quantum Grav., 6:1313 (1989)
[27]	F. A. Gomes and G. A. Marques, in Astronomy and Relativistic Astrophysics, edited by C. A. Z. Vasconcellos et al. (World Scientific, Singapore, 2010), p. 153-159
[28]	H. S. Vieira, V. B. Bezerra, and G. V. Silva, Ann. Phys. (NY), 362:576 (2015)
[29]	A. Ronveaux Heun's differential equations (Oxford University Press, New York, 1995)
[30]	S. Y. Slavyanov and W. Lay, Special functions, (Oxford University Press, New York, 2000)
[31]	W. G. Unruh, Phys. Rev. Lett., 46:1351 (1981)
[32]	W. G. Unruh, Phys. Rev. D, 51:2827 (1995)
[33]	T. Jacobson, in Analogue gravity phenomenology, lecture notes in physics, edited by D. Faccio et al. (Springer International Publishing, Switzerland, 2013), Vol. 870, p. 1-29
[34]	C. L. Benone, L. C. B. Crispino, C. Herdeiro, and E. Radu, Phys. Rev. D, 91:104038 (2015)
[35]	H. S. Vieira, Int. J. Mod. Phys. D, 26:1750035 (2017)
[36]	M. Visser, Class. Quantum Grav., 15:1767 (1998)
[37]	M. Klman Points, lines and walls, (Wiley, New York, 1983)
[38]	C. Barcel, S. Liberati, and M. Visser, Living Rev. Relativity, 8:12 (2005)
[39]	H. S. Vieira, V. B. Bezerra, and C. R. Muniz, Ann. Phys. (NY), 350:14 (2014)
[40]	H. S. Vieira and V. B. Bezerra, Gen. Relativ. Gravit., 48:88 (2016)

[1]	. Correlation between Zero-Sound modes and nuclear equation of state stiffness detected by light vector boson. Chinese Physics C, 2026, 50(1): 014101. doi: 10.1088/1674-1137/adfa81
[2]	Cheng Hu , Xiao-Xiong Zeng . Hawking tunneling radiation with thermodynamic pressure. Chinese Physics C, 2026, 50(1): 015103. doi: 10.1088/1674-1137/ae07b4
[3]	. Testing Einstein-Maxwell Power-Yang-Mills hair via black hole photon rings. Chinese Physics C, 2026, 50(1): 015101. doi: 10.1088/1674-1137/ae039c
[4]	Wentao Zeng , Zehao Lin , Yiran Wang , Shuangquan Zhang , Jinniu Hu , Ying Zhang . Resonant states in the Schrödinger equation solved by the Green's function method. Chinese Physics C, 2026, 50(2): 1-10.
[5]	De-Cheng Zou , Xufen Zhang , Chao-Ming Zhang , Ming Zhang , Rui-Hong Yue . Axial gravitational quasinormal modes of magnetically charged black holes. Chinese Physics C, 2025, 49(12): 125109. doi: 10.1088/1674-1137/adff01
[6]	Ke-Jian He , Huan Ye , Xiao-Xiong Zeng , Li-Fang Li , Peng Xu . Shadow and accretion disk images of the rotation loop quantum black bounce. Chinese Physics C, 2025, 49(12): 125103. doi: 10.1088/1674-1137/adf4a2
[7]	Siyu Tang , Zuman Zhang , Chao Zhang , Liang Zheng , Renzhuo Wan . Investigating the transverse-momentum- and pseudorapidity-dependent flow vector decorrelation in p–Pb collisions with a multi-phase transport model. Chinese Physics C, 2025, 49(12): 124104. doi: 10.1088/1674-1137/adef1b
[8]	Tianxu Huo , Chengzhou Liu . Corrected first law of thermodynamics for dynamical regular black holes. Chinese Physics C, 2025, 49(12): 125104. doi: 10.1088/1674-1137/adf541
[9]	Rui-Bo Wang , Lei You , Shi-Jie Ma , Jian-Bo Deng , Xian-Ru Hu . Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime. Chinese Physics C, 2025, 49(11): 115102. doi: 10.1088/1674-1137/ade4a9
[10]	Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz . Rotating and non-linear magnetic-charged black hole with an anisotropic matter field. Chinese Physics C, 2025, 49(10): 105106. doi: 10.1088/1674-1137/ade0a9
[11]	Lola Meliyeva , Obid Xoldorov , Olmos Tursunboyev , Shavkat Karshiboev , Sardor Murodov , Isomiddin Nishonov , Bekzod Rahmatov . Theoretical study of Strong gravitational lensing around Dyonic ModMax black hole: constraints from EHT observations. Chinese Physics C, 2025, 49(12): 125102. doi: 10.1088/1674-1137/adf4a0
[12]	Xufen Zhang , De-Cheng Zou , Chao-Ming Zhang , Ming Zhang , Rui-Hong Yue . Perturbations of massless external fields on magnetically charged black holes in string-inspired Euler-Heisenberg theory. Chinese Physics C, 2025, 49(10): 105109. doi: 10.1088/1674-1137/ade661
[13]	Xiang-Qian Li , Yoonbai Kim , Bum-Hoon Lee , Hao-Peng Yan , Xiao-Jun Yue . Black holes immersed in modified Chaplygin-like dark fluid and cloud of strings: geodesics, shadows, and images. Chinese Physics C, 2025, 49(10): 105104. doi: 10.1088/1674-1137/add9fa
[14]	Vitalii Vertogradov , Ali Övgün , Daniil Shatov . Formation of regular black hole from baryonic matter. Chinese Physics C, 2025, 49(11): 115103. doi: 10.1088/1674-1137/ade95c
[15]	Mirjavoxir Mirkhaydarov , Mirzabek Alloqulov , Sanjar Shaymatov . Radiation properties of the accretion disk around a quantum-corrected black hole. Chinese Physics C, 2025, 49(12): 125107. doi: 10.1088/1674-1137/adfa83
[16]	Zhen-Ming Xu , Bin Wu , Tao Yang , Wen-Li Yang . A new measure of thermal micro-behavior for the AdS black hole. Chinese Physics C, 2021, 45(1): 015106. doi: 10.1088/1674-1137/abc23e
[17]	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
[18]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[19]	ZHANG Da-Lin , QIU Sui-Zheng , LIU Chang-Liang , SU Guang-Hui . Steady state investigation on neutronics of a molten salt reactor considering the flow effect of fuel salt. Chinese Physics C, 2008, 32(8): 624-628. doi: 10.1088/1674-1137/32/8/007
[20]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

H. S. Vieira. Analytic solutions in the acoustic black hole analogue of the conical Kerr metric[J]. Chinese Physics C, 2017, 41(4): 043105. doi: 10.1088/1674-1137/41/4/043105

H. S. Vieira. Analytic solutions in the acoustic black hole analogue of the conical Kerr metric[J]. Chinese Physics C, 2017, 41(4): 043105. doi: 10.1088/1674-1137/41/4/043105 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-11-24

Fund

Supported by Conselho Nacional de Desenvolvimento Cientfico e Tecnolgico (140612/2014-9)

Article Metric

Article Views(2761)
PDF Downloads(21)
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

Analytic solutions in the acoustic black hole analogue of the conical Kerr metric

Corresponding author: H. S. Vieira,

1. Departamento de Fí

2. Centro de Ciê

Received Date: 2016-11-24

Available Online: 2017-04-05

Fund Project: Supported by Conselho Nacional de Desenvolvimento Cientfico e Tecnolgico (140612/2014-9)

Abstract: We study the sound perturbation of a rotating acoustic black hole in the presence of a disclination. The radial part of the massless Klein-Gordon equation is written into a Heun form, and its analytical solution is obtained. These solutions have an explicit dependence on the parameter of the disclination. We obtain the exact Hawking-Unruh radiation spectrum.

HTML

Reference (40)

Analytic solutions in the acoustic black hole analogue of the conical Kerr metric

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article