Zobrazeno 1 - 10
of 243
pro vyhledávání: '"Vasy, András"'
Autor:
Hintz, Peter, Vasy, András
We give a new proof of the recent result by Fournodavlos-Schlue on the nonlinear stability of the expanding region of Kerr-de Sitter spacetimes as solutions of the Einstein vacuum equations with positive cosmological constant. Our gauge is a modifica
Externí odkaz:
http://arxiv.org/abs/2409.15460
Autor:
Molodyk, Mikhail, Vasy, András
In this paper, we define a model of non-interacting quantum fields satisfying $(\Delta_g-\lambda^2)\phi=0$ on a Riemannian scattering space $(M,g)$ with two boundary components, i.e. a manifold with two asymptotically conic ends (meaning asymptotic t
Externí odkaz:
http://arxiv.org/abs/2404.11821
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:
Hintz, Peter, Vasy, András
We present a novel approach to the analysis of regularity and decay for solutions of wave equations in a neighborhood of null infinity in asymptotically flat spacetimes of any dimension. The classes of metrics and wave type operators we consider near
Externí odkaz:
http://arxiv.org/abs/2302.14613
Autor:
Jia, Qiuye, Vasy, András
In this paper we show the invertibility of the geodesic X-ray transform on one forms and 2-tensors on asymptotically conic manifolds, up to the natural obstruction, allowing existence of certain kinds of conjugate points. We use the 1-cusp pseudodiff
Externí odkaz:
http://arxiv.org/abs/2212.01970
Autor:
Vasy, András, Zachos, Evangelie
Publikováno v:
Pure Appl. Analysis 6 (2024) 693-730
In this paper, partly based on Zachos' PhD thesis, we show that the geodesic X-ray transform is stably invertible near infinity on a class of asymptotically conic manifolds which includes perturbations of Euclidean space. In particular certain kinds
Externí odkaz:
http://arxiv.org/abs/2204.11706
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:
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
Autor:
Vasy, András
In this short paper we introduce a variant of the approach to inverting the X-ray transform that originated in the author's work with Uhlmann. The new method is based on semiclassical analysis and eliminates the need for using sufficiently small doma
Externí odkaz:
http://arxiv.org/abs/2012.14307