Sammanfattning

This master's thesis is a contribution to the rigidity problem for black holes in the case where the cosmological constant $\Lambda$ is non-zero. We generalise the results of Kleinerman and Ionescu in the problem of extension of Killing vector fields from the assumption that $\Lambda=0$ to the more general assumption that $\Lambda \in \mathbb{R}$ via constructing a suitable system of Partial Differential Equations.

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