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Paper   IPM / Astronomy / 16347
School of Astronomy
  Title:   Instability and no-hair paradigm in d-dimensional charged-AdS black holes
1.  Afsaneh . Rahmani
2.  Mohsen . Khodadi
3.  Matin . Honardoost
4.  Hamid Reza . Sepangi
  Status:   Published
  Journal: Nucl. Phys. B
  Vol.:  960
  Year:  2020
  Supported by:            ipm IPM
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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