Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 31, Issue 16, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/31/16/165016
Keywords
Lovelock; perturbations; black hole
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Funding
- National Research Foundation
- University of KwaZulu-Natal
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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. 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.
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