Berlin 2014 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 9: Classical theory of General Relativity I

GR 9.1: Talk

Tuesday, March 18, 2014, 11:15–11:35, SPA SR220

Analytic timing formula for a pulsar orbiting a Schwarzschild Black Hole — •Melanie Vogelsang, Eva Hackmann, and Claus Lämmerzahl — ZARM, Bremen, Deutschland

The timing formula of pulsars describe the pulse phase as a function of time with the goal to accurately predict the future pulse arrival times.

For the analytic calculation we consider pulsars around a supermassive black hole, whose gravitational field is described by the Schwarzschild metric. Therefore, the pulsars can be treated as test particles and their motion can be calculated analytically. The equation of motion of the light pulses can also be solved analytically, so that the time of arrival of a pulse can be calculated from its given time of emission. The crucial point in the calculation is to find the observed light ray, as the used pulsar model contains light emission in every direction.

The results of certain systems are compared to those of the post-Newtonian timing formula.