Dirac quasinormal modes and area spectrum of Hořava-Lifshitz black holes

The Dirac quasinormal modes of Hořava-Lifshitz black holes are studied. We find that the QNMs are purely damped modes which means the spacetimes are very stable. For the fundamental frequencies, we note that the absolute value of the frequencies increases as the orbital angular moment l increases, which means that the Dirac perturbations decay quickly for the larger l modes. For the high overtone number modes, we show that the QNMs frequencies are linearly related to the Hawking temperature. Therefore, using Kunstatter's approach we find that the area spacing of the Hořava-Lifshitz black hole is described by ΔAmin=8πħ which supports Bekenstein's conjecture.