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Analytical solutions for geodesics in black hole spacetimes
Eva Hackmann, Claus Lämmerzahl
We review the analytical solution methods for the geodesic equations in Kerr-Newman-Taub-NUT-de Sitter spacetimes and its subclasses in terms of elliptic and hyperelliptic function…
Analytical solution methods for geodesic motion
Eva Hackmann, Claus Lämmerzahl
The observation of the motion of particles and light near a gravitating object is until now the only way to explore and to measure the gravitational field. In the case of exact bla…
Geodesic equations and algebro-geometric methods
Eva Hackmann
For an investigation of the physical properties of gravitational fields the observation of massive test particles and light is very useful. The characteristic features of a given s…
Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
Eva Hackmann, Claus Lämmerzahl
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 p…
Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
Eva Hackmann, Claus Lämmerzahl
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 p…