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

  • 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.
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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
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 shu
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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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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
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.

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