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Geodesic equations in black hole space-times with cosmological constant [Elektronische Ressource] / von Eva Hackmann


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Geodesic equations in black hole space-timeswith cosmological constantEva HackmannUniversit¨at Bremen 2010Geodesic equations in black hole space-timeswith cosmological constantVom Fachbereich fu¨r Physik und Elektrotechnikder Universit¨at Bremenzur Erlangung des akademischen Grades einesDoktor der Naturwissenschaften (Dr. rer. nat.)genehmigte DissertationvonDipl.-Math. Eva Hackmannwohnhaft in Bremen1. Gutachter: Prof. Dr. rer. nat. C. L¨ammerzahl2. Gutachter: Prof. Dr. rer. nat. P. RichterEingereicht am: 26.01.2010Tag des Promotionskolloquiuums: 12.04.2010AbstractThe physics of a gravitational field can be explored by studying the geodesic motionof test particles and light. Although the majority of gravitational effects can be dis-cussed using approximations and numerics, a systematic study of all effects can onlybe achieved by using analytical methods. In particular, exact analytic treatmentscan finally answer the question whether the cosmological expansion, modeled hereby a cosmological constant, has an observable influence on effects as the Pioneeranomaly or the creation of gravitational waves.This thesis is devoted to the study of the geodesic motion in space-times witha nonvanishing cosmological constant using analytical methods. In each space-timeconsidered here, the discussion of geodesics takes place on two different levels: Thefirst is the classification of orbits in terms of the black hole and test particle orlight parameters.



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Published 01 January 2009
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Language English
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