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GR: Fachverband Gravitation und Relativitätstheorie

GR 6: Black Holes and other Black Objects

GR 6.5: Talk

Tuesday, March 1, 2016, 18:25–18:45, VMP6 HS A

Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes — •Kai Flathmann and Saskia Grunau — Institut für Physik, Universität Oldenburg, D-26111 Oldenburg, Germany

In this talk we present the geodesic motion of test particles and light in the Einstein-Maxwell-dilaton-axion spacetime. This family of black hole solutions is characterized by 4 constants: mass, angular momentum, dilaton and axion charge. We only consider black holes with vanishing axion charge. The equations of motion are of elliptic type and their solutions are given in terms of the Weierstraß ℘, σ and ζ functions. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and give a list of all possible orbit types.