2013/11/30 by Radouane Gannouji, Naresh Dadhich · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Dimension (graph theory) #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Stability (learning theory) #Theoretical physics #Upper and lower bounds #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/31/16/165016
published as Class. Quantum Grav. 31 (2014) 165016 · 19 pages, 1 figure, changes match published version
openalex publication_date 2014/08/05 · arxiv created 2014/08/07 · arxiv updated 2014/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.