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pro vyhledávání: '"Petersen, Oliver"'
Hawking's singularity theorem says that cosmological solutions arising from initial data with positive mean curvature have a past singularity. However, the nature of the singularity remains unclear. We therefore ask: If the initial hypersurface has s
Externí odkaz:
http://arxiv.org/abs/2309.11370
Autor:
Petersen, Oliver, Vasy, András
Publikováno v:
SIGMA 20 (2024), 052, 11 pages
In a recent paper, we proved that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally hyperbolic trapping, extending the results of Vas
Externí odkaz:
http://arxiv.org/abs/2306.09213
Autor:
Petersen, Oliver, Vasy, András
We prove that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally hyperbolic trapping, extending the existing results. The main novelti
Externí odkaz:
http://arxiv.org/abs/2112.01355
Autor:
Kroencke, Klaus, Petersen, Oliver
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-degenerate Killing horizon. In this paper, we prove that the full asymptotic
Externí odkaz:
http://arxiv.org/abs/2110.14619
Autor:
Petersen, Oliver, Vasy, András
Publikováno v:
Commun. Math. Phys. 402, 2547-2575 (2023)
We prove that quasinormal modes (or resonant states) for linear wave equations in the subextremal Kerr and Kerr-de Sitter spacetimes are real analytic. The main novelty of this paper is the observation that the bicharacteristic flow associated to the
Externí odkaz:
http://arxiv.org/abs/2104.04500
We prove stability of integrable ALE manifolds with a parallel spinor under Ricci flow, given an initial metric which is close in $L^p \cap L^\infty$, for any $p \in (1, n)$, where $n$ is the dimension of the manifold. In particular, our result appli
Externí odkaz:
http://arxiv.org/abs/2009.11854
We consider the heat equation associated to Schr\"{o}dinger operators acting on vector bundles on asymptotically locally Euclidean (ALE) manifolds. Novel $L^p - L^q$ decay estimates are established, allowing the Schr\"{o}dinger operator to have a non
Externí odkaz:
http://arxiv.org/abs/2006.06662
Autor:
Petersen, Oliver Lindblad
Publikováno v:
Adv. Math. 391 (2021), Paper No. 107953
We prove that any compact Cauchy horizon with constant non-zero surface gravity in a smooth vacuum spacetime is a smooth Killing horizon. The novelty here is that the Killing vector field is shown to exist on both sides of the horizon. This generalis
Externí odkaz:
http://arxiv.org/abs/1903.09135
Autor:
Kroencke, Klaus, Petersen, Oliver Lindblad, Lubbe, Felix, Marxen, Tobias, Maurer, Wolfgang, Meiser, Wolfgang, Schnürer, Oliver C., Szabó, Áron, Vertman, Boris
Publikováno v:
J. Geom. Anal (2020)
We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold $M\times\mathbb{R}$, where $M$ is asymptotically flat. If the initial hypersurface $F_0\subset M\times\mathbb{R}$ is uniforml
Externí odkaz:
http://arxiv.org/abs/1903.03502
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