Black holes beyond general relativity: scalar hair and dynamical evolutionTools Thaalba, Farid (2025) Black holes beyond general relativity: scalar hair and dynamical evolution. PhD thesis, University of Nottingham.
AbstractWe discuss extensions of general relativity, focusing on theories that incorporate an additional scalar degree of freedom. We mainly discuss theories that break no-hair theorems and endow black holes with a non-trivial scalar profile. In this context, we investigate several aspects of scalar Gauss-Bonne gravity. In the shift-symmetric case, we examine the effect of additional interactions on black holes with scalar hair and how these operators affect their properties. We also discuss the possibility of supermassive black hole scalarization from the perspective of effective field theories. Next, we switch our focus to the initial value problem in these theories and address the lack of a well-posed Cauchy problem by including additional interactions that prove crucial in this regard. With this at hand, we study the dynamics of spherical black holes using excision and discuss the effect of the gauge choice and field redefinitions on this issue.
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