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We investigate the stability of the horizon in a warped anti-de Sitter blackhole based on the three-dimensional new massive gravity by particle absorption.If a particle moving towards the black hole enters its outer horizon, the blackhole changes because it absorbs conserved quantities of the particle. Thisvariation is constrained by the equations of motion for the particle. We proveboth the irreducibility of the entropy and stability of the horizon for theblack hole through this process. However, the instability of the horizon isfound in a near-extremal black hole by considering its second-order expansion.We resolve this instability by applying an adiabatic process for theabsorption. Further, we show that the stability has the physical counterpart tothe energy spectrum of the Virasoro generator via the warped anti-deSitter/warped conformal field theory correspondence.

Stability of Horizon in Warped AdS Black Hole via Particle Absorption