Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent

Julián Barragán Amado; Bruno Carneiro da Cunha; Elisabetta Pallante

doi:10.1007/JHEP04(2020)155

Vector perturbations of Kerr-AdS₅ and the Painlevé VI transcendent

Julián Barragán Amado, Bruno Carneiro da Cunha^*, Elisabetta Pallante

^*Corresponding author voor dit werk

Hoge-energiefysica

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We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlevé VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.

Originele taal-2	English
Artikelnummer	155
Aantal pagina's	23
Tijdschrift	Journal of High Energy Physics
Volume	2020
Nummer van het tijdschrift	4
DOI's	https://doi.org/10.1007/JHEP04(2020)155
Status	Published - 1-apr.-2020

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10.1007/JHEP04(2020)155Licentie: CC BY

Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendentFinal publisher's version, 438 KBLicentie: CC BY

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abstract = "We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlev{\'e} VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.",

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