Bonn 2020 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 3: Relativistic Astrophysics
GR 3.3: Talk
Monday, March 30, 2020, 17:00–17:15, H-HS IX
Propagation time delay in Kerr black hole — •Bilel Ben Salem1, 2 and Eva Hackmann2 — 1University of Bielefeld — 2ZARM, University of Bremen
Finding a pulsar closely orbiting the super massive black hole in the galactic center would open the window to a new era of testing General Relativity and other alternative theories of gravity in the strong gravity regime as well as some aspects like the cosmic censorship conjecture and the no-hair theorem. The pulsar timing model which predicts the arrival time of the pulses should include all relativistic effects for a such binary system, in particular the propagation delay of the pulses in the gravitational field of the black hole. In [E. Hackmann, A. Dhan The propagation delay in the timing of a pulsar orbiting a supermassive black hole. General Relativity and Gravitation], an exact analytical formula for the propagation time delay was derived for the Schwarzschild black hole where the pulsar is treated as a test particle due to the extreme mass ratio. We generalize the formula to the Kerr black hole case where we investigate the effect of the frame-dragging on the propagation time delay and compare our result to the post-Newtonian approximation.