期刊
PHYSICAL REVIEW LETTERS
卷 100, 期 17, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.100.171101
关键词
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The complete set of analytic solutions of the geodesic equation in a Schwarzschild-(anti-)de Sitter space-time is presented. The solutions are derived from the Jacobi inversion problem restricted to the theta divisor. In its final form the solutions can be expressed in terms of derivatives of Kleinian sigma functions. The solutions are completely classified by the structure of the zeros of the characteristic polynomial which depends on the energy, angular momentum, and the cosmological constant.
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