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Göttingen 2012 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 20: Relativistische Astrophysik

GR 20.2: Talk

Friday, March 2, 2012, 12:50–13:10, ZHG 002

Analytical timing formula for a pulsar orbiting a Schwarzschild black holeEva Hackmann1, Claus Lämmerzahl1,2, •Viktoriya Morozova1,3, 4, and Volker Perlick11ZARM, University Bremen, Am Fallturm, 28359 Bremen, Germany — 2Institute for Physics, University Oldenburg, 26111 Oldenburg, Germany — 3Institute of Nuclear Physics, Ulughbek, 100214,Tashkent, Uzbekistan — 4Albert-Einstein-Institute, Golm

The analytical formula describing the arrival of periodic signals coming from a pulsar orbiting a Schwarzschild black hole is presented. The novelty of our approach consists in using general relativistic solutions in terms of Weierstrass elliptic functions for exact description of the pulsar motion as well as light ray propagation in the vicinity of Schwarzschild black hole in application to the pulsar timing problem. From the obtained formula any order of relativistic approximation can be derived.

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