Aspects of Black Hole Instabilities and Consequences

Abstract

The core topic we study in this thesis is the concept of black hole instabilities. This in essence means that if one probes a black hole background with any classical field, modes scattering the black hole horizon which are growing in time are considered unstable.
There are many interesting questions which arise as a result of an unstable black hole perturbation, such as; what is the endpoint of the instability? What does the solution and phase diagram of such a black hole configuration look like? The answer in some
cases is that one finds hairy black hole solutions, which turn out to be even richer in their structure as we will explore in the second part of this thesis. Sometimes however, searching for an instability within the vast structure of black hole quasi-normal modes is itself an interesting task which requires robust numerical methods. One needs to use perturbative methods to guide the numerical search, which we discuss in the first half of this thesis.

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Identifiers

ORCID for Paul, William Rodgers: orcid.org/0000-0002-5348-4956

ORCID for Oscar Campos Dias: orcid.org/0000-0003-4855-4750

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