Hyperelliptic functions and geodesic equations |
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| Authors: | Eva Hackmann Claus Lämmerzahl |
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| Affiliation: | ZARM, University of Bremen, Am Fallturm, 28359 Bremen, Germany |
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| Abstract: | A method for solving geodesic equations in Schwarzschild–de Sitter space–times and higher dimensional Schwarzschild space–times is presented. The solutions are derived from Jacobi's inversion problem on a Riemann surface of genus 2 restricted to the set of zeros of the theta function, which is called a theta–divisor. In its final form, the solutions are given in terms of derivatives of Kleinian sigma functions. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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