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

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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)

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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

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Received: 2017-05-12

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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

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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

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

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