The Quantization of a Kerr-AdS Black Hole
We apply our model of quantum gravity to a Kerr-AdS space-time of dimension 2m+1, m≥2, where all rotational parameters are equal, resulting in a wave equation in a quantum space-time which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The s...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4328312 |
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| _version_ | 1832554002125946880 |
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| author | Claus Gerhardt |
| author_facet | Claus Gerhardt |
| author_sort | Claus Gerhardt |
| collection | DOAJ |
| description | We apply our model of quantum gravity to a Kerr-AdS space-time of dimension 2m+1, m≥2, where all rotational parameters are equal, resulting in a wave equation in a quantum space-time which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The stationary eigenfunctions can be interpreted as radiation and the temporal ones as gravitational waves. The event horizon corresponds in the quantum model to a Cauchy hypersurface that can be crossed by causal curves in both directions such that the information paradox does not occur. We also prove that the Kerr-AdS space-time can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the r variable by ρ=r2 such that the extended space-time has a timelike curvature singularity in ρ=-a2. |
| format | Article |
| id | doaj-art-38895ea9e61741ff9f194c9c8dbc3b50 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-38895ea9e61741ff9f194c9c8dbc3b502025-02-03T05:52:36ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/43283124328312The Quantization of a Kerr-AdS Black HoleClaus Gerhardt0Institut für Angewandte Mathematik, Ruprecht-Karls-Universität, Im Neuenheimer Feld 205, 69120 Heidelberg, GermanyWe apply our model of quantum gravity to a Kerr-AdS space-time of dimension 2m+1, m≥2, where all rotational parameters are equal, resulting in a wave equation in a quantum space-time which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The stationary eigenfunctions can be interpreted as radiation and the temporal ones as gravitational waves. The event horizon corresponds in the quantum model to a Cauchy hypersurface that can be crossed by causal curves in both directions such that the information paradox does not occur. We also prove that the Kerr-AdS space-time can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the r variable by ρ=r2 such that the extended space-time has a timelike curvature singularity in ρ=-a2.http://dx.doi.org/10.1155/2018/4328312 |
| spellingShingle | Claus Gerhardt The Quantization of a Kerr-AdS Black Hole Advances in Mathematical Physics |
| title | The Quantization of a Kerr-AdS Black Hole |
| title_full | The Quantization of a Kerr-AdS Black Hole |
| title_fullStr | The Quantization of a Kerr-AdS Black Hole |
| title_full_unstemmed | The Quantization of a Kerr-AdS Black Hole |
| title_short | The Quantization of a Kerr-AdS Black Hole |
| title_sort | quantization of a kerr ads black hole |
| url | http://dx.doi.org/10.1155/2018/4328312 |
| work_keys_str_mv | AT clausgerhardt thequantizationofakerradsblackhole AT clausgerhardt quantizationofakerradsblackhole |