From rotating to charged black holes and back again
Abstract The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole. In this paper, we investigate if similar constraints hold for ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2022)161 |
| _version_ | 1797865731823501312 |
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| author | Lars Aalsma Gary Shiu |
| author_facet | Lars Aalsma Gary Shiu |
| author_sort | Lars Aalsma |
| collection | DOAJ |
| description | Abstract The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole. In this paper, we investigate if similar constraints hold for extremal rotating black holes. We do so by considering the leading higher derivative corrections to the four-dimensional Kerr black hole and five-dimensional Myers-Perry black hole. We use a known mapping of these rotating solutions to a four-dimensional non-rotating dyonic Kaluza-Klein black hole and impose the WGC on this charged solution. Going back again to the rotating solutions, this fixes the sign of the corrections to the rotating extremality bounds. The sign of the corrections is non-universal, depending on the black hole under consideration. We argue that this is not at odds with black hole decay, because of the presence of a superradiant instability that persists in the extremal limit. When this instability is present, the WGC is implied for the four-dimensional charged black hole. |
| first_indexed | 2024-04-09T23:12:54Z |
| format | Article |
| id | doaj.art-3dd20db912e64b25bffa8bf29e358336 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:12:54Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3dd20db912e64b25bffa8bf29e3583362023-03-22T10:16:15ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221112310.1007/JHEP11(2022)161From rotating to charged black holes and back againLars Aalsma0Gary Shiu1Department of Physics, University of Wisconsin-MadisonDepartment of Physics, University of Wisconsin-MadisonAbstract The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole. In this paper, we investigate if similar constraints hold for extremal rotating black holes. We do so by considering the leading higher derivative corrections to the four-dimensional Kerr black hole and five-dimensional Myers-Perry black hole. We use a known mapping of these rotating solutions to a four-dimensional non-rotating dyonic Kaluza-Klein black hole and impose the WGC on this charged solution. Going back again to the rotating solutions, this fixes the sign of the corrections to the rotating extremality bounds. The sign of the corrections is non-universal, depending on the black hole under consideration. We argue that this is not at odds with black hole decay, because of the presence of a superradiant instability that persists in the extremal limit. When this instability is present, the WGC is implied for the four-dimensional charged black hole.https://doi.org/10.1007/JHEP11(2022)161Black Holes in String TheoryModels of Quantum GravityString and Brane Phenomenology |
| spellingShingle | Lars Aalsma Gary Shiu From rotating to charged black holes and back again Journal of High Energy Physics Black Holes in String Theory Models of Quantum Gravity String and Brane Phenomenology |
| title | From rotating to charged black holes and back again |
| title_full | From rotating to charged black holes and back again |
| title_fullStr | From rotating to charged black holes and back again |
| title_full_unstemmed | From rotating to charged black holes and back again |
| title_short | From rotating to charged black holes and back again |
| title_sort | from rotating to charged black holes and back again |
| topic | Black Holes in String Theory Models of Quantum Gravity String and Brane Phenomenology |
| url | https://doi.org/10.1007/JHEP11(2022)161 |
| work_keys_str_mv | AT larsaalsma fromrotatingtochargedblackholesandbackagain AT garyshiu fromrotatingtochargedblackholesandbackagain |