Volume 37, Issue 3
KAM and Geodesic Dynamics of Blackholes

Jinxin Xue

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

Published online: 2021-09

Export citation
  • 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.

  • 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.

Xue , Jinxin. (2021). KAM and Geodesic Dynamics of Blackholes. Annals of Applied Mathematics. 37 (3). 291-336. doi:10.4208/aam.OA-2021-0002
Copy to clipboard
The citation has been copied to your clipboard