2014
DOI: 10.1007/jhep12(2014)072
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Bumpy black holes

Abstract: We study six-dimensional rotating black holes with bumpy horizons: these are topologically spherical, but the sizes of symmetric cycles on the horizon vary non-monotonically with the polar angle. We construct them numerically for the first three bumpy families, and follow them in solution space until they approach critical solutions with localized singularities on the horizon. We find strong evidence of the conical structures that have been conjectured to mediate the transitions to black rings, to black Saturn… Show more

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Cited by 37 publications
(63 citation statements)
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“…Indeed, it might well be the case that the lumpy and localised branches will spiral towards the conical merger, leading to an infinite discrete non-uniqueness similar to the one found in [33,34,[43][44][45]. In the present case, we do not approach the conical mergers sufficiently enough to address this question.…”
Section: Jhep04(2015)060mentioning
confidence: 77%
See 1 more Smart Citation
“…Indeed, it might well be the case that the lumpy and localised branches will spiral towards the conical merger, leading to an infinite discrete non-uniqueness similar to the one found in [33,34,[43][44][45]. In the present case, we do not approach the conical mergers sufficiently enough to address this question.…”
Section: Jhep04(2015)060mentioning
confidence: 77%
“…Some of these lumpy solutions then connect to black rings with horizon topology S 1 × S d−3 [26,32,33]. There are also zero modes corresponding to higher harmonics on the S d−2 , which yield other lumpy solutions that connect to multi-horizon solutions like black Saturns or di-rings [34].…”
Section: Jhep04(2015)060mentioning
confidence: 99%
“…Reference [38] showed the existence of critical exponents in the context of hairy black holes in AdS 5 × S 5 . Several other works showed the beginning of a spiral curve in the phase diagram of hairy black holes in global AdS 5 [39] or lumpy black holes in asymptotically flat spacetime [40,41]. Note that the superradiant instability of Reissner-Nordström black holes gives rise to the hairy black holes mentioned above, while the ultraspinning instability of Myers-Perry black holes leads to the lumpy black hole branch.…”
Section: Jhep08(2017)049mentioning
confidence: 81%
“…3 can be conjectured from other systems with Gregory-Laflamme instabilities [15,[36][37][38][39][40][41] (see reviews [14,39]). There is a family of 'lumpy' black holes [12] (blue squares in Fig.…”
Section: ���mentioning
confidence: 99%