Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T00: Poster Session III (1pm-4pm PST)
1:00 PM,
Thursday, March 9, 2023
Room: Exhibit Hall (Forum Ballroom)
Sponsoring
Unit:
APS
Abstract: T00.00351 : Metric Perturbation Construction in Kerr Spacetime in Horizon Penetrating Coordinates
Presenter:
Mohamed Fawzy Abbas Aly
(SUNY at Buffalo)
Author:
Mohamed Fawzy Abbas Aly
(SUNY at Buffalo)
Collaboration:
Mohamed Fawzi, Dejan Stojkovic
In this project, the Teukolsky equation have been studied in a horizon penetrating coordinates and tetard,
followingly the radial equation and its first derivative have been studied, the former showed
to be a Confluent Heun with three singularity while the latter is a obeying a Fuchsian differential
equation with one extra singularity. The radial function obey the physical boundary condition
without applying any regularity condition. We verified that Hertz-Weyl scalars equations preserve
their angular and radial signature even in the Horizon penetration coordinates. Using the angular
equation, we have constructed the he metric perturbation in Kerr spacetime for a pertuber moving
in a circular orbit around the blackhole. Finally, we discussed how the extra singularity will be
crucial for the metric expansion convergence.
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