Stability and existence analysis of static black holes in pure Lovelock theories

RADOUANE GANNOUJI , Naresh Dadhich

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21 Scopus citations

Abstract

In this paper, we study the existence and stability of static black holes in Lovelock theories with a particular focus on pure Lovelock black holes. We derive the equation of stability from action without using the S-deformation approach. Although a pure-Lovelock black hole in an even dimension is always unstable, introduction of Λ stabilizes it by prescribing a lower threshold mass while there also exists an upper bound on mass that is given by the existence of a horizon. We also study the stability of dimensionally continued black holes as well as of the pure Lovelock analogue of BTZ black holes in all odd dimensions.

Original languageEnglish
Article number165016
JournalClassical and Quantum Gravity
Volume31
Issue number16
DOIs
StatePublished - 21 Aug 2014

Keywords

  • black hole
  • Lovelock
  • perturbations

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