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Volume 37, Issue 3
KAM and Geodesic Dynamics of Blackholes

Jinxin Xue

DOI: 10.4208/aam.OA-2021-0002

Ann. Appl. Math., 37 (2021), pp. 291-336.

Published online: 2021-09

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  • 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 oscillations (QPO). We prove that there is a gap structure in the photon shell that can be used to reveal information of the perturbation.

  • Keywords

KAM, photon shell, blackholes, Kerr.

  • AMS Subject Headings

37J40, 37N20, 83C57

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

jxue@tsinghua.edu.cn (Jinxin Xue)

  • BibTex
  • RIS
  • TXT
@Article{AAM-37-291, author = {Xue , Jinxin}, title = {KAM and Geodesic Dynamics of Blackholes}, journal = {Annals of Applied Mathematics}, year = {2021}, volume = {37}, number = {3}, pages = {291--336}, 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 oscillations (QPO). We prove that there is a gap structure in the photon shell that can be used to reveal information of the perturbation.

}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2021-0002}, url = {http://global-sci.org/intro/article_detail/aam/19849.html} }
TY - JOUR T1 - KAM and Geodesic Dynamics of Blackholes AU - Xue , Jinxin JO - Annals of Applied Mathematics VL - 3 SP - 291 EP - 336 PY - 2021 DA - 2021/09 SN - 37 DO - http://doi.org/10.4208/aam.OA-2021-0002 UR - https://global-sci.org/intro/article_detail/aam/19849.html KW - KAM, photon shell, blackholes, Kerr. AB -

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 oscillations (QPO). We prove that there is a gap structure in the photon shell that can be used to reveal information of the perturbation.

Jinxin Xue. (1970). KAM and Geodesic Dynamics of Blackholes. Annals of Applied Mathematics. 37 (3). 291-336. doi:10.4208/aam.OA-2021-0002
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