MG13 - Talk detail |
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Participant |
Hergt, Steven | |||||||
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Institution |
Friedrich Schiller University, Institute of Theoretical Physics - Max-Wien-Platz 1 - Jena - Thuringia - Germany | |||||||
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Session |
AN1 |
Accepted |
Yes |
Order |
6 |
Time |
16:30 - 16:55 | |
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Talk |
Oral abstract |
Title |
Solving geodesic equations for a test mass in a post-Newtonian approximated Kerr spacetime analytically exact | |||||
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Abstract |
In order to arrive at a full analytical solution to the leading post-Newtonian (pN) order spin-squared dynamics of a compact binary system we investigate the geodesic solutions of a test mass moving in a Kerr spacetime field produced by a rotating black hole. As the Kerr field incorporates arbitrary powers of the spin parameter 'a' when expanded in a post-Newtonian manner we truncate the expansion at second order in 'a' and at leading pN order and show how to solve the resulting geodesic equations analytically exact in elliptic functions. |
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