Quasinormal modes of a scalar perturbation coupling with Einstein's tensor in the warped AdS3 black hole spacetime

Abstract

We have studied the quasinormal modes of a massive scalar field coupling to Einstein's tensor in the spacelike stretched AdS3 black hole spacetime. We find that both the right-moving and left-moving quasinormal frequencies depend not only on the warped parameter v of black hole, but also on the coupling between the scalar field and Einstein's tensor. Moreover, we also discuss the warped AdS/CFT correspondence from the quasinormal modes and probe the effects of the coupling on the left and right conformal weights hL and hR of the operators dual to the scalar field in the boundary.

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