13 citations · 49 across the 13 of their papers we have counts for
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The asymptotic expansion of the spacetime metric at the event horizon
Klaus Kroencke, Oliver Petersen
Hawking's local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event horizon of any stationary non-extremal black hole is a non-degene…
Convergence of the Ricci flow to Ricci-flat ALE manifolds and positive scalar curvature rigidity
Klaus Kroencke, Oliver Lindblad Petersen
We prove stability of integrable ALE manifolds with a parallel spinor under Ricci flow, given an initial metric which is close in , for any , where…
Symmetries of vacuum spacetimes with a compact Cauchy horizon of constant non-zero surface gravity
Oliver Petersen, István Rácz
We prove that any smooth vacuum spacetime containing a compact Cauchy horizon with surface gravity that can be normalised to a non-zero constant admits a Killing vector field. This…
On the Cauchy problem for the linearised Einstein equation
Oliver Lindblad Petersen
A classical problem in general relativity is the Cauchy problem for the linearised Einstein equation (the initial value problem for gravitational waves) on a globally hyperbolic va…