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Title: Aspects of Classical and Semi-Classical Black Holes in de Sitter and anti-de Sitter Space
Author: Young, Philip Martin
ISNI:       0000 0001 3575 7909
Awarding Body: University of Sheffield
Current Institution: University of Sheffield
Date of Award: 2006
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Classical and semi-classical methods are used to study aspects of black holes with a cosmological constant. The stability of a new 'hairy' black hole solution of the Einstein equations due to Martinez et al is investigated. The 'hair' is described by a conformally coupled scalar field having a quartic .potential. We use linear perturbation theory and a conformal transformation following Maeda to give a Schrodinger equation for the scalar field perturbation. Standard results are then be applied to show that this configuration is unstable. A semi-classical approach, first applied by Christensen and Fulling, is extended to investigate quantum effects inthe presence of black holes with more general, but still static, and spherically symmetric, background geometries, in an arbitrary number of spacetime dimensions. We require the quantum-mechanically predicted renormalized expectation value of the stress energy tensor, which describes the quantum effects, to satisfy energy and momentum conservation principles in a well-defined classical background geometry. We relate possible physical states to constraints on the form of this stress tensor.: A method due to Anderson, Hiscoc.k and Samuel, for carrying out a full computation of the stress-tensor of quantized scalar fields in static, spherically symmetric spacetimes, is applied to the specific case of a Mellor-Moss black hole. This involves an analytic approximation and numerical corrections in the region between the event and cosmological h~rizons. An analysis is carried out of the asymptotic behaviour at the horizons.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available