Zero, Normal and Super-radiant Modes for Scalar and Spinor Fields in Kerr-anti de Sitter Spacetime
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2016
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| _version_ | 1866913371112079360 |
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| author | Kenmoku, Masakatsu Cho, Yongmin Shigemoto, Kazuyasu Yoon, Jong Hyuk |
| author_facet | Kenmoku, Masakatsu Cho, Yongmin Shigemoto, Kazuyasu Yoon, Jong Hyuk |
| contents | Zero and normal modes for scalar and spinor fields in Kerr-anti de Sitter spacetime are studied as bound state problem with Dirichlet and Neumann boundary conditions. Zero mode is defined as the momentum near the horizon to be zero: $p_{\rm H}=ω-Ω_{\rm H}m=0$, and is shown not to exist as physical state for both scalar and spinor fields. Physical normal modes satisfy the spectrum condition $p_{\rm H}>0$ as a result of non-existence of zero mode and the analyticity with respect to rotation parameter $a$ of Kerr-anti de Sitter black hole. Comments on the super-radiant modes and the thermodynamics of black hole are given in relation to the spectrum condition for normal modes. Preliminary numerical analysis on normal modes is presented. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1609_00798 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Zero, Normal and Super-radiant Modes for Scalar and Spinor Fields in Kerr-anti de Sitter Spacetime Kenmoku, Masakatsu Cho, Yongmin Shigemoto, Kazuyasu Yoon, Jong Hyuk General Relativity and Quantum Cosmology Zero and normal modes for scalar and spinor fields in Kerr-anti de Sitter spacetime are studied as bound state problem with Dirichlet and Neumann boundary conditions. Zero mode is defined as the momentum near the horizon to be zero: $p_{\rm H}=ω-Ω_{\rm H}m=0$, and is shown not to exist as physical state for both scalar and spinor fields. Physical normal modes satisfy the spectrum condition $p_{\rm H}>0$ as a result of non-existence of zero mode and the analyticity with respect to rotation parameter $a$ of Kerr-anti de Sitter black hole. Comments on the super-radiant modes and the thermodynamics of black hole are given in relation to the spectrum condition for normal modes. Preliminary numerical analysis on normal modes is presented. |
| title | Zero, Normal and Super-radiant Modes for Scalar and Spinor Fields in Kerr-anti de Sitter Spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/1609.00798 |