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Title: On the mass of black holes with scalar field hair in anti-de Sitter spacetime
Author: Toubal, Wahiba
ISNI:       0000 0004 5355 6571
Awarding Body: University of Sheffield
Current Institution: University of Sheffield
Date of Award: 2015
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Since it has been proven that the no-hair conjecture has exceptions, systems of gravity coupled with matter have been of great interest. This thesis studies one of these exceptions: the case of a scalar field with nonconvex self interaction potential minimally coupled with gravity in anti-de Sitter spacetime. By considering a convex potential we prove a no-hair theorem for the four possible scalar field cases. For nonconvex potential however, stable soliton and black hole solutions are found. We focus on the stable black hole solutions. We find the explicit expressions for the mass of these spacetimes in four, five and six dimensions. To obtain a finite mass it is necessary to consider the gravitational and the scalar contribution. The scalar contribution is different for different masses of the scalar field above the Breitenlohner-Freedman bound. The last part of the thesis is concerned with providing a numerical method to calculate the mass for the different spacetimes with two different nonconvex potentials. The mass depends on three parameters a, b and frr. Each parameter is found by solving a differential equation using mathematica. We present a selection of plots to illustrate our results for the masses.
Supervisor: Winstanley, Elizabeth Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available