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https://www.um.edu.mt/library/oar/handle/123456789/78593
Title: | Perturbed black holes |
Authors: | Sultana, Joseph (1998) |
Keywords: | Black holes (Astronomy) Schwarzschild black holes Kerr black holes |
Issue Date: | 1998 |
Citation: | Sultana, J. (1998). Perturbed black holes (Master’s dissertation). |
Abstract: | The first exact solution of Einstein's gravitational field equations that is considered, is the static, spherically symmetric Schwarzschild solution, which describes the gravitational field around a spherical ball of matter. By examining the singularities of this solution, the formation of the Schwarzschild black hole is studied by considering a collapsing ball of dust. The Schwarzschild solution is expressed in Weyl form and then perturbed by the inclusion of a static, axisymmetric weak gravitational field in the external region of the original isolated black hole, such that a Schwarzschild local black hole is obtained. This local black hole is then extended by using the Kruskal-Szekeres extension, in such a way that it is asymptotically fiat at null infinity. The result of this extension is a true perturbed Schwarzschild black hole. A particular class of perturbed Schwarzschild black holes is obtained by taking a special type of the external gravitational field. Another exact solution of Einstein's equations that is derived is the C-metric solution, which is also static and axisymmetric. This represents approximately the field around a uniformly accelerated black hole. Again after expressing this solution in Weyl form, it is perturbed as in the Schwarzschild case by the inclusion of a static, axisymmetric gravitational field in the external region of the black hole, such that a C-metric local black hole is obtained whose extension is called a perturbed C-metric black hole. By considering a specific external gravitational field, an example of a perturbed C-metric black hole is obtained. |
Description: | M.SC.PHYSICS |
URI: | https://www.um.edu.mt/library/oar/handle/123456789/78593 |
Appears in Collections: | Dissertations - FacSci - 1965-2014 Dissertations - FacSciPhy - 1967-2017 |
Files in This Item:
File | Description | Size | Format | |
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M.SC.PHYSICS_Sultana_Joseph_1998.pdf Restricted Access | 2.94 MB | Adobe PDF | View/Open Request a copy |
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