The propagation delay in the timing of a pulsar orbiting a supermassive black hole

Hackmann E, Dhani A (2019)
GENERAL RELATIVITY AND GRAVITATION 51(3): 37.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
The observation of a pulsar closely orbiting the galactic center supermassive black hole would open the window for an accurate determination of the black hole parameters and for new tests of General Relativity. An important relativistic effect which has to be taken into account in the timing model is the propagation delay of the pulses in the gravitational field of the black hole. Due to the extreme mass ratio of the pulsar and the supermassive back hole we use the test particle limit to derive an exact analytical formula for the propagation delay in a Schwarzschild spacetime. We then compare this result to the propagation delays derived in the usually employed post-Newtonian approximation, in particular to the Shapiro delay up to the second post-Newtonian order. For edge-on orbits we also consider modifications of the Shapiro delay which take the lensing effects into account. Our results are then used to assess the accuracy of the different orders of the post-Newtonian approximation of the propagation delay. This comparison indicates that for (nearly) edge-on orbits the new exact delay formula should be used.
Erscheinungsjahr
Zeitschriftentitel
GENERAL RELATIVITY AND GRAVITATION
Band
51
Ausgabe
3
Art.-Nr.
37
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Hackmann E, Dhani A. The propagation delay in the timing of a pulsar orbiting a supermassive black hole. GENERAL RELATIVITY AND GRAVITATION. 2019;51(3): 37.
Hackmann, E., & Dhani, A. (2019). The propagation delay in the timing of a pulsar orbiting a supermassive black hole. GENERAL RELATIVITY AND GRAVITATION, 51(3), 37. doi:10.1007/s10714-019-2517-2
Hackmann, E., and Dhani, A. (2019). The propagation delay in the timing of a pulsar orbiting a supermassive black hole. GENERAL RELATIVITY AND GRAVITATION 51:37.
Hackmann, E., & Dhani, A., 2019. The propagation delay in the timing of a pulsar orbiting a supermassive black hole. GENERAL RELATIVITY AND GRAVITATION, 51(3): 37.
E. Hackmann and A. Dhani, “The propagation delay in the timing of a pulsar orbiting a supermassive black hole”, GENERAL RELATIVITY AND GRAVITATION, vol. 51, 2019, : 37.
Hackmann, E., Dhani, A.: The propagation delay in the timing of a pulsar orbiting a supermassive black hole. GENERAL RELATIVITY AND GRAVITATION. 51, : 37 (2019).
Hackmann, Eva, and Dhani, Arnab. “The propagation delay in the timing of a pulsar orbiting a supermassive black hole”. GENERAL RELATIVITY AND GRAVITATION 51.3 (2019): 37.