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Multi-black-hole gravitational field
Klimešová, Eliška ; Žofka, Martin (advisor) ; Kubizňák, David (referee)
We study dynamics of an extremally charged black hole on the background of two stationary, mutually orbiting extremally charged black holes, forming thus a seed binary system. We extend the two-body perturbative solution of vacuum Einstein-Maxwell equations, known from literature, to the three body system. Restricting to slow-motion approximation and motion at a large distance, we de- rive the corresponding three-body Lagrangian and investigate limits of evolution of little- and large-mass black hole. Motivated by physical intuition and in order to check our results, we compare the former with solution of geodesic equation of an extremally charged test-body on identical background. Our results mainly consist of interpretation and comparison of characteristic motions. 1

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