Remarks The NHEK and near-NHEK has played key roles in setting up the Kerr/CFT correspondence.M.Gulca et000.4266.Bredberg e00734ad c-s ch1001320 Due to the enhanced symmetry,the motion of the point particles can be classified.It turns out to be that the trajectories in such geometry could be related to each other by conformal transformations and PT transformationS.A.P.Porfyriadis and A.Strominger 1401.3746.. Very recently G.Compere et.al.studied the gravitational wave in the final stages of EMRIs of non-spinning compact objects into supermassive nearly extremal Kerr BH.G.compere t Geodesic approximation:no internal structure of the compact object,no backreaction 4口◆4回t1三1声，￥QC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Remarks The NHEK and near-NHEK has played key roles in setting up the Kerr/CFT correspondence. M. Guica et.al. 0809.4266,I. Bredberg et.al. 0907.3477,BC and C-S Chu 1001.3208 Due to the enhanced symmetry, the motion of the point particles can be classified. It turns out to be that the trajectories in such geometry could be related to each other by conformal transformations and PT transformations. A.P. Porfyriadis and A. Strominger 1401.3746,... Very recently G. Compere et.al. studied the gravitational wave in the final stages of EMRIs of non-spinning compact objects into supermassive nearly extremal Kerr BH. G. Compere et.al. 1712.0713 ▶ Geodesic approximation: no internal structure of the compact object, no backreaction ▶ Consider GWs at different stages using Teukolsky’s formalism: asymp. flat ⇒ NHEK ⇒ near-NHEK ▶ Paste GWs in different stages The same treatment can be applied to high spin IMRACs, but