Linear perturbations of a Schwarzschild black hole

Kubeka, Amos Soweto

dc.contributor.advisor	Lesame, W. M.	en
dc.contributor.advisor	Bishop, N. T.	en
dc.contributor.author	Kubeka, Amos Soweto	en
dc.date.accessioned	2009-08-25T10:55:29Z
dc.date.available	2009-08-25T10:55:29Z
dc.date.issued	2013-02
dc.date.submitted	2015-02-17	en
dc.identifier.citation	Kubeka, Amos Soweto (2013) Linear perturbations of a Schwarzschild black hole, University of South Africa, Pretoria, <http://hdl.handle.net/10500/1667>	en
dc.identifier.uri	http://hdl.handle.net/10500/1667
dc.description.abstract	We firstly numerically recalculate the Ricci tensor of non-stationary axisymmetric space-times (originally calculated by Chandrasekhar) and we find some discrepancies both in the linear and non-linear terms. However, these discrepancies do not affect the results concerning linear perturbations of a Schwarzschild black hole. Secondly, we use these Ricci tensors to derive the Zerilli and Regge-Wheeler equations and use the Newman-Penrose formalism to derive the Bardeen-Press equation. We show the relation between these equations because they describe the same linear perturbations of a Schwarzschild black hole. Thirdly, we illustrate heuristically (when the angular momentum (l) is 2) the relation between the linearized solution of the Einstein vacuum equations obtained from the Bondi-Sachs metric and the Zerilli equation, because they describe the same linear perturbations of a Schwarzschild black hole. Lastly, by means of a coordinate transformation, we extend Chandrasekhar's results on linear perturbations of a Schwarzschild black hole to the Bondi-Sachs framework.	en
dc.format.extent	1 online resource (xvii, 161 leaves)
dc.language.iso	en	en
dc.subject	Linear perturbations	en
dc.subject	Gravitational radiation	en
dc.subject	Black hole perturbation theory	en
dc.subject	Black hole theory	en
dc.subject	Einstein vacuum equations linear solution	en
dc.subject	Schwarzschild black hole	en
dc.subject	Bondi-Sachs metric	en
dc.subject.ddc	523.887501515392
dc.subject.lcsh	Black holes (Astronomy) -- Mathematics	en
dc.subject.lcsh	Perturbation (Mathematics)	en
dc.subject.lcsh	Schwarzschild black holes	en
dc.subject.lcsh	Bondi, Hermann -- Knowledge -- Schwarzschild black holes	en
dc.subject.lcsh	Sachs, R. K. (Rainer Kurt), 1932- -- Knowledge -- Schwarzschild black holes	en
dc.title	Linear perturbations of a Schwarzschild black hole	en
dc.type	Thesis	en
dc.description.department	Mathematical Sciences	en
dc.description.degree	M. Sc. (Applied Mathematics)	en