Dirac And Electromagnetic Quasinormal Modes And Area Spectrum Of Horava-Lifshitz Black Holes

As an renormalized theory of gravity,HoravarLifshitz gravity theory has been widely paid attention now.Not only do people study the theory itself,but they investigate this theory for its applications in Cosmology.However,as we all know,people investigate less Hofava-Lifshitz gravity theory with detailed balance con-dition,which must be considered naturally in the cases a = 1/2 and a = 1/3.Therefore,it is necessary to study those cases which α≠ 1 to understand the whole features of Horava-Lifshitz gravity theory.The Dirac and electromagnetic QNMs of Horava-Lifshitz black holes are studied in my master’s thesis.Through analyzing the results,we find some important information of the Horava-Lifshitz black-hole space-time:First,we note that the QNMs in Horava-Lifshitz black-hole space-time are purely damped modes which means the potential V(r)in the wave equation is an over-damped term.That is similar to that in the over-damped equation of classical mechanics.Second,for the fundamental frequencies(n = 0),we find the Dirac and electro-magnetic QNFs increase as the event horizon radius r+ or orbital angular moment l increase,which means that the Dirac and electromagnetic perturbations decay quickly for the larger l or r+.Besides,for large black holes,the relation of QNFs and Bekenstein-Hawking temperature TH is linear.Third,for the high overtone number modes(n>0),we show that the QNFs is linearly related to the overtone number n,and this relation is also fit for other black-hole space-times.Fourth,using Kunstatter’s approach,we find that the minimum alea spacing of the Horava-Lifshitz black hole is described by △Amin=8πh,which supports Bekenstein’s conjecture.fifth,through,calculating the QNFs of the Horava-Lifshitz black holes with dynamical different coupling constants,we find the QNFs express different sensi-tivity to the event horizon radius r+ for different coupling constants,which make us understand deeply the effect of coupling constants to Horava-Lifshitz gravity-theory.