Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/121981
Title: GEOMETRIC STRUCTURE AND GEODESICS OF THE C-METRIC
Authors: LIM YEN KHENG
Keywords: Black holes, C-metric, geodesics, Ernst spacetime
Issue Date: 18-Aug-2015
Citation: LIM YEN KHENG (2015-08-18). GEOMETRIC STRUCTURE AND GEODESICS OF THE C-METRIC. ScholarBank@NUS Repository.
Abstract: In this thesis we study the geometric structure and parameter space of the C-metric, which describes accelerated black holes. In particular, we provide a new form of the C-metric whose structure functions are partially factorised. In this new form, the roots are regarded as fundamental parameters, and the allowed coordinate range can be visualised as a ``box'' in a two-dimensional plot. For the case of negative cosmological constant, we show that the triangular domains describe deformed hyperbolic black holes, where the event horizon has non-constant curvature. We explore the C-metric further by considering its geodesic equations for time-like and null particles. For circular orbits in arbitrary acceleration, an algebraic relation expressing the condition of stability is obtained. This refines the stability analysis done in the previous literature. Particle motion in the Ernst metric is also considered, in either an external electric or magnetic field.
URI: http://scholarbank.nus.edu.sg/handle/10635/121981
Appears in Collections:Ph.D Theses (Open)

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