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| KAM and Geodesic Dynamics of Blackholes |
| Jinxin Xue |
| (Department of Mathematics and Yau Mathematical Sciences Center,Tsinghua University, Beijing 100084, China) |
| DOI： |
| Abstract: |
| In this paper we apply KAM theory and the Aubry-Mather theory
for twist maps to the study of bound geodesic dynamics of a perturbed blackhole
background. The general theories apply mainly to two observable phenomena:
the photon shell (unstable bound spherical orbits) and the quasi-periodic oscil lations (QPO). We prove that there is a gap structure in the photon shell that
can be used to reveal information of the perturbation. |
| Key words: KAM, photon shell, blackholes, Kerr. |