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arXiv · 2009.09186

Instability and no-hair paradigm in d-dimensional charged-AdS black holes

Afsaneh Rahmani·Mohsen Khodadi·Matin Honardoost·Hamid Reza Sepangi
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Abstract

Is it possible the no-hair paradigm is violated when a black hole undergoes an instability? Employing massless charged scalar perturbations, we address this question within the context of conformally invariant Einstein-Maxwell theory for some allowed $d$-dimensional ($d=4n+4$ with conformal parameter $n=0,1,2,...$ ) topological small AdS black-holes. We provide numerical analyses that show the non trivial scalar hairy black hole solutions to include planar and spherical horizon topologies in higher dimensions with an even conformal parameter $n$. It is also shown that the solutions presented here cannot be considered as scalar hairs for a Reissner-Nordstrom background. As a result, for $d$-dimensional small AdS black holes in the presence of a conformally invariant Maxwell source, the no-scalar hair paradigm seems to be supported.

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Afsaneh Rahmani, Mohsen Khodadi, Matin Honardoost, Hamid Reza Sepangi. 2020-09-19. Instability and no-hair paradigm in d-dimensional charged-AdS black holes. https://doi.org/10.1016/j.nuclphysb.2020.115185

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