Gregory-Laflamme instability of BTZ black hole in new massive gravity

Abstract

We find the Gregory-Laflamme $s$-mode instability of the non-rotating BTZ black hole in new massive gravity. This instability shows that the BTZ black hole could not exist as a stable static solution to the new massive gravity. For non-rotating BTZ black string in four dimensions, however, it is demonstrated that the BTZ black string can be stable against the metric perturbation.

13 pages, 1 figure

References in corpus (6)

• Resummation of Massive Gravity
• Massive Gravity in Three Dimensions
• Stability of Schwarzschild black holes in fourth-order gravity revisited
• Unstable Schwarzschild-Tangherlini black holes in fourth-order gravity
• Stability of BTZ black strings
• Instability of Schwarzschild-AdS black hole in Einstein-Weyl gravity

Cited by in corpus (7)

• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Gregory-Laflamme instability of black hole in Einstein-scalar-Gauss-Bonnet theories
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Overcharging problem and thermodynamics in extended phase spaces
• Thermodynamic and classical instability of AdS black holes in fourth-order gravity
• Phase transitions of the BTZ black hole in new massive gravity
• Weak cosmic censorship conjecture in BTZ black holes with scalar fields