Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory

Abstract

We compute the tensorial perturbations to a general spherically symmetric metric in d dimensions with string-theoretical corrections quadratic in the Riemann tensor, from which we derive their respective potential. We use this result to study the stability of corresponding black hole solutions under such perturbations.

arXiv comment20 pages. Includes results originally published in arXiv:1105.5074v1, but removed from arXiv:1105.5074v2. v2: references added. Published version

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Cited by in corpus (8)

• Eikonal quasinormal modes and shadow of string-corrected $d$-dimensional black holes
• Asymptotic quasinormal modes of string-theoretical $d$-dimensional black holes
• Instability of Black Holes with a Gauss-Bonnet Term
• The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet d-dimensional black holes
• Dilaton Field Released under Collision of Dilatonic Black Holes with Gauss-Bonnet Term
• Dilatonic black holes in superstring gravity
• Greybody factors of string-corrected d-dimensional black holes
• WKB method and quasinormal modes of string-theoretical d-dimensional black holes