Eigenvalue spectrum of marginally outer trapped surface stability operator in the Weyl-distorted Schwarzschild black holes

Okpala, Chiamaka Mary (2025) Eigenvalue spectrum of marginally outer trapped surface stability operator in the Weyl-distorted Schwarzschild black holes. Masters thesis, Memorial University of Newfoundland.

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Abstract

Marginally outer trapped surfaces (MOTS) are closed spacelike surfaces from which outgoing light rays neither converge nor diverge. In recent years they have been found to be a key tool for understanding black hole geometries. In particular, the stability operator provides information on whether the marginally outer trapped surfaces (MOTS) bounds a trapped region. This study investigates the eigenvalue problem associated with the stability operator for MOTS in the context of Weyl-distorted Schwarzschild solutions. By solving the eigenvalue problem, we aim to understand whether these solutions can always be understood as black holes.

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