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]	Ming Zhang , Rui-Hong Yue , De-Cheng Zou . Quasinormal modes of a black hole surrounded by a fluid of strings in Rastall gravity. Chinese Physics C, 2025, 49(2): 025104. doi: 10.1088/1674-1137/ad9453
[2]	Sen Yang , Cheng Liu , Tao Zhu , Li Zhao , Qiang Wu , Ke Yang , Mubasher Jamil . Spherical accretion flow onto general parameterized spherically symmetric black hole spacetimes. Chinese Physics C, 2021, 45(1): 015102. doi: 10.1088/1674-1137/abc066
[3]	He-Xu Zhang , Yuan Chen , Tian-Chi Ma , Peng-Zhang He , Jian-Bo Deng . Bardeen black hole surrounded by perfect fluid dark matter. Chinese Physics C, 2021, 45(5): 055103. doi: 10.1088/1674-1137/abe84c
[4]	D. Bazeia , A. Mohammadi , D. C. Moreira . Fermion bound states in geometrically deformed backgrounds. Chinese Physics C, 2019, 43(1): 013101. doi: 10.1088/1674-1137/43/1/013101
[5]	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
[6]	H. S. Vieira , V. B. Bezerra . Charged scalar fields in a Kerr–Sen black hole: exact solutions, Hawking radiation, and resonant frequencies. Chinese Physics C, 2019, 43(3): 035102. doi: 10.1088/1674-1137/43/3/035102
[7]	Ali Övgün , Izzet Sakalli , Joel Saavedra . Quasinormal modes of a Schwarzschild black hole immersed in an electromagnetic universe. Chinese Physics C, 2018, 42(10): 105102. doi: 10.1088/1674-1137/42/10/105102
[8]	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
[9]	Jing-Bo Wang , Chao-Guang Huang . Conformal field theory on the horizon of a BTZ black hole. Chinese Physics C, 2018, 42(12): 123110. doi: 10.1088/1674-1137/42/12/123110
[10]	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
[11]	Gu-Qiang Li . Hawking radiation and entropy of a black hole in Lovelock-Born-Infeld gravity from the quantum tunneling approach. Chinese Physics C, 2017, 41(4): 045103. doi: 10.1088/1674-1137/41/4/045103
[12]	H. S. Vieira , J. P. Morais Graça , V. B. Bezerra . Scalar resonant frequencies and Hawking effect of an f(R) global monopole. Chinese Physics C, 2017, 41(9): 095102. doi: 10.1088/1674-1137/41/9/095102
[13]	HAN Yi-Wen , BAO Zhi-Qing , HONG Yun . Unruh-Verlinde temperature and energy of (2+1)-dimensional matter coupled black hole via entropic force. Chinese Physics C, 2011, 35(7): 612-615. doi: 10.1088/1674-1137/35/7/003
[14]	ZHANG Li-Chun , LIN Hai , LI Huai-Fan , ZHAO Ren . Radiation spectrum of rotating Gödel black hole and correction entropy. Chinese Physics C, 2011, 35(4): 339-343. doi: 10.1088/1674-1137/35/4/004
[15]	HAN Yi-Wen , HAO Jia-Bo . Non-thermal Hawking radiation from the Kerr black hole. Chinese Physics C, 2009, 33(2): 94-97. doi: 10.1088/1674-1137/33/2/003
[16]	WANG Jian-Hua , LI Kang , Dulat Sayipjamal , . Klein-Gordon oscillators in noncommutative phase space. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007
[17]	ZHANG Ai-Ping , QIANG Wen-Chao . Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[18]	Wang Shan , Liu Yiming , Jiang Yuzhen , Chen Xiaofan , D. Keane , S. Y. Fung , S. Y. Chu . Azimuthal Correlation Function and the Nuclear Equation of State. Chinese Physics C, 1990, 14(S4): 361-366.
[19]	DAI An-Ying . LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS. Chinese Physics C, 1987, 11(5): 620-628.
[20]	WU Yong-Shi , GE Mo-Lin . THE GEOMETRIC MEANING OF THE RICCATI EQUATION RELATED TO SINE-GORDON EQUATION. Chinese Physics C, 1983, 7(5): 560-564.

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(1567)
PDF Downloads(19)
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