München 2006 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 101: Eigenschaften von klassischen Lösungen

GR 101.2: Vortrag

Montag, 20. März 2006, 14:40–15:00, K

Slowly Rotating Homogeneous Stars and the Heun Equation — •David Petroff — Friedrich-Schiller-Universität Jena

The scheme developed by Hartle for describing slowly rotating bodies in 1967 was applied to the simple model of constant density by Chandrasekhar in 1974. The pivotal equation one has to solve turns out to be one of Heun’s equations. After a brief discussion of this equation and the chances of finding a closed form solution, I will present quickly converging series solutions of it. A comparison with numerical solutions of the full Einstein equations allows one to truncate the series at an order appropriate to the slow order approximation.