Scalar resonant frequencies and Hawking effect of an <em>f</em>(<em>R</em>) global monopole

H. S. Vieira; J. P. Morais Gra&ccedil;a; V. B. Bezerra

doi:10.1088/1674-1137/41/9/095102

Chinese Physics C> 2017, Vol. 41> Issue(9) : 095102 DOI: 10.1088/1674-1137/41/9/095102

Scalar resonant frequencies and Hawking effect of an f(R) global monopole

1.
Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, Massachusetts 02155, USA
2.
Departamento de Fí
3.
Departamento de Fí
4.
Instituto de Fí
5.
Departamento de Fí

Abstract
HTML
Reference
Related

PDF

Abstract：
Massive scalar fields are considered in the gravitational field produced by a Schwarzschild black hole with a global monopole in f(R) gravity. The exact solution of the radial part of the Klein-Gordon equation in this background is obtained and is given in terms of the general Heun functions. We apply the properties of the general Heun functions to study the Hawking radiation and the resonant frequencies of scalar particles.
- massive scalar field ,
- general Heun function ,
- black hole radiation ,
- energy level

References

[1]	X. Q. Li and G. R. Chen, Phys. Lett. B, 751:34(2015)
[2]	P. Valtancoli, Ann. Phys. (NY,) 362:363(2015)
[3]	H. S. Vieira, V. B. Bezerra and G. V. Silva, Ann. Phys. (NY), 362:576(2015)
[4]	M. Sharif and S. Iftikhar, Eur. Phys. J. Plus, 131:427(2016)
[5]	G. V. Kraniotis, Class. Quantum Grav., 33:225011(2016)
[6]	B. Pourhassan, Mod. Phys. Lett. A, 31:1650057(2016)
[7]	F. M. Andrade, C. Filgueiras and E. O. Silva, Adv. High Energy Phys., 2017:8934691(2017)
[8]	H. S. Vieira and V. B. Bezerra, Ann. Phys. (NY), 373:28(2016)
[9]	I. Sakalli, Phys. Rev. D, 94:084040(2016)
[10]	T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys., 82:451(2010)
[11]	A. A. Starobinsky, Phys. Lett. B, 91:99(1980)
[12]	S. Nojiri, S. D. Odintsov and D. Saez-Gomez, Phys. Lett. B, 681:74(2009)
[13]	J. P. Morais Graa, V. B. Bezerra, Mod. Phys. Lett. A, 30:1550156(2015)
[14]	J. P. Morais Graa, Class. Quantum Grav., 33:055004(2016)
[15]	M. Hortasu, arXiv:1101.0471v9[math-ph] (2017)
[16]	V. B. Bezerra, H. S. Vieira and A. A. Costa, Class. Quantum Grav., 31:045003(2014)
[17]	A. S. Tarloyan, T. A. Ishkhanyan and A. M. Ishkhanyan, Ann. Phys. (Berlin), 528:264(2016)
[18]	M. U. Dogru and D. Taşer, Mod. Phys. Lett. A, 30:1550217(2015)
[19]	K. A. Bronnikov and M. S. Chernakova, Russ. Phys. J., 48:940(2005)
[20]	P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 571:A22(2014)
[21]	J. P. Morais Graa, H. S. Vieira and V. B. Bezerra, Gen. Relativ. Gravit., 48:38(2016)
[22]	J. Man and H. Cheng, Phys. Rev. D, 87:044002(2013)
[23]	T. R. P. Carams, E. R. Bezerra de Mello and M. E. X. Guimares, Int. J. Mod. Phys. Conf. Ser., 03:446(2011)
[24]	R. A. Konoplya and A. V. Zhidenko, Phys. Rev. D, 73:124040(2006)
[25]	C. Ma, Y. Gui, W. Wang and F. Wang, Cent. Eur. J. Phys., 6:194(2008)
[26]	A. Ronveaux, Heun's differential equations (New York:Oxford University Press, 1995)
[27]	H. S. Vieira, V. B. Bezerra and C. R. Muniz, Ann. Phys. (NY), 350:14(2014)
[28]	T. Damour and R. Ruffini, Phys. Rev. D, 14:332(1976)
[29]	S. Sannan, Gen. Relativ. Gravit., 20:239(1988)

[1]	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
[2]	Yu-Ting Zhou , Xiao-Mei Kuang . Scalar field in massive BTZ black hole and entanglement entropy. Chinese Physics C, 2020, 44(1): 015102. doi: 10.1088/1674-1137/44/1/015102
[3]	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
[4]	Ting-Ting Sun , Cheng-Jun Xia , Shi-Sheng Zhang , M. S. Smith . Massive neutron stars and Λ-hypernuclei in relativistic mean field models. Chinese Physics C, 2018, 42(2): 025101. doi: 10.1088/1674-1137/42/2/025101
[5]	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
[6]	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
[7]	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
[8]	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
[9]	Mushtaq Abed Al-Jubbori , Khalaf Ajaj Al-Mtiuty , Khaliel. I. Saeed , Fadhil I. Sharrad . Properties of even ^168-178Hf isotopes using IBM-1 and SEF. Chinese Physics C, 2017, 41(8): 084103. doi: 10.1088/1674-1137/41/8/084103
[10]	H. S. Vieira . Analytic solutions in the acoustic black hole analogue of the conical Kerr metric. Chinese Physics C, 2017, 41(4): 043105. doi: 10.1088/1674-1137/41/4/043105
[11]	Jun-Kui Xu , You-Wu Su , Wu-Yuan Li , Wei-Wei Yan , Xi-Meng Chen , Wang Mao , Cheng-Guo Pang . Evaluation of neutron radiation field in carbon ion therapy. Chinese Physics C, 2016, 40(1): 018201. doi: 10.1088/1674-1137/40/1/018201
[12]	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
[13]	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
[14]	BI Yuan-Jie , ZHANG Tian-Jue , JIA Xian-Lu , ZHOU Zheng-He , WANG Feng , WEI Su-Min , ZHONG Jun-Qing , TANG Chuan-Xiang . Study on CYCIAE-100 radiation field and residual radioactivity. Chinese Physics C, 2009, 33(S2): 47-49. doi: 10.1088/1674-1137/33/S2/012
[15]	QI Bin , MENG Jie , ZHANG Shuang-Quan , WANG Shou-Yu , PENG Jing . Chiral doublet bands and energy-level crossing. Chinese Physics C, 2009, 33(S1): 43-45. doi: 10.1088/1674-1137/33/S1/014
[16]	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
[17]	Mao Mingde , Guo Hua . Particle-Hole State Densitiy with Energy Constraints and Exact Pauli Exclusion Effect. Chinese Physics C, 1992, 16(S1): 107-116.
[18]	Hou Boyu , Shi Kangjie , Yue Ruihong . The Crossing Matrices and Correlation Function of SU_K(2) Wess-Zumino-Witten Model with Fractional Level. Chinese Physics C, 1992, 16(S2): 163-172.
[19]	Zhang Tianbao , Wang Haidong , Shen Zhiqi . Measurement of the Radiation Energy in Parapositronium Two Gamma Annihilation. Chinese Physics C, 1991, 15(S3): 227-234.
[20]	Zhang Chuang , Chen Siyu . A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors. Chinese Physics C, 1988, 12(S2): 181-188.

Access

Get Citation

H. S. Vieira, J. P. Morais Graça and V. B. Bezerra. Scalar resonant frequencies and Hawking effect of an f(R) global monopole[J]. Chinese Physics C, 2017, 41(9): 095102. doi: 10.1088/1674-1137/41/9/095102

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-05-12

Fund

H.S.V. is funded by the Brazilian research agencies CNPq (research Project No. 140612/2014-9) and CAPES (PDSE Process No. 88881.133092/2016-01). J.P.M.G. is funded by the CNPq through the research Project No. 150565/2016-0. V.B.B. is partially supported by the CNPq through the research Project No. 304553/2010-7

Article Metric

Article Views(1602)
PDF Downloads(67)
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

Scalar resonant frequencies and Hawking effect of an f(R) global monopole

1. Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, Massachusetts 02155, USA

2. Departamento de Fí

3. Departamento de Fí

4. Instituto de Fí

5. Departamento de Fí

Received Date: 2017-05-12

Available Online: 2017-09-05

Fund Project: H.S.V. is funded by the Brazilian research agencies CNPq (research Project No. 140612/2014-9) and CAPES (PDSE Process No. 88881.133092/2016-01). J.P.M.G. is funded by the CNPq through the research Project No. 150565/2016-0. V.B.B. is partially supported by the CNPq through the research Project No. 304553/2010-7

Abstract: Massive scalar fields are considered in the gravitational field produced by a Schwarzschild black hole with a global monopole in f(R) gravity. The exact solution of the radial part of the Klein-Gordon equation in this background is obtained and is given in terms of the general Heun functions. We apply the properties of the general Heun functions to study the Hawking radiation and the resonant frequencies of scalar particles.

HTML

Reference (29)

Scalar resonant frequencies and Hawking effect of an f(R) global monopole

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Scalar resonant frequencies and Hawking effect of an f(R) global monopole

HTML

目录