Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole
We carry out the Kerr/CFT correspondence in a four-dimensional extremal rotating regular black hole with a non-linear magnetic monopole (NLMM). One problem in this study would be whether our geometry can be a solution or not. We search for the way making our rotating geometry into a solution based o...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317301724 |
| _version_ | 1818290049053097984 |
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| author | Shingo Takeuchi |
| author_facet | Shingo Takeuchi |
| author_sort | Shingo Takeuchi |
| collection | DOAJ |
| description | We carry out the Kerr/CFT correspondence in a four-dimensional extremal rotating regular black hole with a non-linear magnetic monopole (NLMM). One problem in this study would be whether our geometry can be a solution or not. We search for the way making our rotating geometry into a solution based on the fact that the Schwarzschild regular geometry can be a solution. However, in the attempt to extend the Schwarzschild case that we can naturally consider, it turns out that it is impossible to construct a model in which our geometry can be a exact solution. We manage this problem by making use of the fact that our geometry can be a solution approximately in the whole space-time except for the black hole's core region. As a next problem, it turns out that the equation to obtain the horizon radii is given by a fifth-order equation due to the regularization effect. We overcome this problem by treating the regularization effect perturbatively. As a result, we can obtain the near-horizon extremal Kerr (NHEK) geometry with the correction of the regularization effect. Once obtaining the NHEK geometry, we can obtain the central charge and the Frolov–Thorne temperature in the dual CFT. Using these, we compute its entropy through the Cardy formula, which agrees with the one computed from the Bekenstein–Hawking entropy. |
| first_indexed | 2024-12-13T02:21:59Z |
| format | Article |
| id | doaj.art-b2b5843702b04d5abcc3329222fe6e56 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-13T02:21:59Z |
| publishDate | 2017-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-b2b5843702b04d5abcc3329222fe6e562022-12-22T00:02:45ZengElsevierNuclear Physics B0550-32131873-15622017-08-01921C37539310.1016/j.nuclphysb.2017.05.008Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopoleShingo TakeuchiWe carry out the Kerr/CFT correspondence in a four-dimensional extremal rotating regular black hole with a non-linear magnetic monopole (NLMM). One problem in this study would be whether our geometry can be a solution or not. We search for the way making our rotating geometry into a solution based on the fact that the Schwarzschild regular geometry can be a solution. However, in the attempt to extend the Schwarzschild case that we can naturally consider, it turns out that it is impossible to construct a model in which our geometry can be a exact solution. We manage this problem by making use of the fact that our geometry can be a solution approximately in the whole space-time except for the black hole's core region. As a next problem, it turns out that the equation to obtain the horizon radii is given by a fifth-order equation due to the regularization effect. We overcome this problem by treating the regularization effect perturbatively. As a result, we can obtain the near-horizon extremal Kerr (NHEK) geometry with the correction of the regularization effect. Once obtaining the NHEK geometry, we can obtain the central charge and the Frolov–Thorne temperature in the dual CFT. Using these, we compute its entropy through the Cardy formula, which agrees with the one computed from the Bekenstein–Hawking entropy.http://www.sciencedirect.com/science/article/pii/S0550321317301724 |
| spellingShingle | Shingo Takeuchi Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole Nuclear Physics B |
| title | Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole |
| title_full | Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole |
| title_fullStr | Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole |
| title_full_unstemmed | Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole |
| title_short | Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole |
| title_sort | kerr cft correspondence in a 4d extremal rotating regular black hole with a non linear magnetic monopole |
| url | http://www.sciencedirect.com/science/article/pii/S0550321317301724 |
| work_keys_str_mv | AT shingotakeuchi kerrcftcorrespondenceina4dextremalrotatingregularblackholewithanonlinearmagneticmonopole |