Göttingen 2012 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 20: Relativistische Astrophysik

GR 20.2: Vortrag

Freitag, 2. März 2012, 12:50–13:10, ZHG 002

Analytical timing formula for a pulsar orbiting a Schwarzschild black hole — Eva Hackmann¹, Claus Lämmerzahl^1,2, •Viktoriya Morozova^{1,3, 4}, and Volker Perlick¹ — ¹ZARM, 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.