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Classical stability of BTZ black hole in new massive gravity · Around

2011

Classical stability of BTZ black hole in new massive gravity

Myung, Yun Soo, Kim, Yong-Wan, Moon, Taeyoon et al.

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We study the stability of the BTZ black hole in the new massive gravity.

This is a nontrivial task because the linearized equation around the BTZ black hole background is a fourth order differential equation.
Away from the critical point of $m^2 l^2=1/2$, this fourth order equation is split into two second order equations: one describes a massless graviton and the other is designed for a massive graviton, which could be obtained from the Fierz-Pauli action.
In this case, calculating quasinormal modes leads to confirm the stability of the BTZ black hole.

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