TY - JOUR
T1 - Pure Lovelock black holes in dimensions d=3N+1 are stable
AU - GANNOUJI, RADOUANE
AU - Rodríguez Baez, Yolbeiker
AU - Dadhich, Naresh
N1 - Publisher Copyright:
© 2019 American Physical Society.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/10/7
Y1 - 2019/10/7
N2 - In this paper, we show that pure Lovelock static Schwarzschild's analogue black holes in dimensions d>3N+1, where N is the degree of Lovelock polynomial action, are stable even though pure Gauss-Bonnet N=2 black holes are unstable in dimensions d<7. We also discuss and compare quasinormal modes for pure Lovelock and the corresponding Einstein black hole in the same dimension. We find that perturbations decay with a characteristic time which is weakly dimensional dependent as it depends only on the gravitational potential of the background solution, while the frequency of oscillations depend on the dimension. Also, we show that the spectrum of perturbations is not isospectral except in d=4.
AB - In this paper, we show that pure Lovelock static Schwarzschild's analogue black holes in dimensions d>3N+1, where N is the degree of Lovelock polynomial action, are stable even though pure Gauss-Bonnet N=2 black holes are unstable in dimensions d<7. We also discuss and compare quasinormal modes for pure Lovelock and the corresponding Einstein black hole in the same dimension. We find that perturbations decay with a characteristic time which is weakly dimensional dependent as it depends only on the gravitational potential of the background solution, while the frequency of oscillations depend on the dimension. Also, we show that the spectrum of perturbations is not isospectral except in d=4.
UR - http://www.scopus.com/inward/record.url?scp=85074329639&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.100.084011
DO - 10.1103/PhysRevD.100.084011
M3 - Article
AN - SCOPUS:85074329639
VL - 100
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 8
M1 - 084011
ER -