Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Wrochna, Michał"'
Autor:
Gérard, Christian, Wrochna, Michał
We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calder\'on projectors to recover a quantum state for the Lorentzian theory on de
Externí odkaz:
http://arxiv.org/abs/2405.00866
We prove that the Dirichlet-to-Neumann map of the linear wave equation determines the topological, differentiable and conformal structure of the underlying Lorentzian manifold, under mild technical assumptions. With more stringent geometric assumptio
Externí odkaz:
http://arxiv.org/abs/2303.08430
Autor:
Wrochna, Michał, Zeitoun, Ruben
In this note, we consider the wave operator $\square_g$ in the case of globally hyperbolic, compactly supported perturbations of static spacetimes. We give an elementary proof of the essential self-adjointness of $\square_g$ and of uniform microlocal
Externí odkaz:
http://arxiv.org/abs/2204.08767
Motivated by the quantization of linearized gravity, we consider gauge-fixed linearized Einstein equations and their Wick rotation near a Cauchy surface. We show that Calder\'on projectors for the Wick-rotated equations induce Hadamard bi-solutions o
Externí odkaz:
http://arxiv.org/abs/2204.01094
Autor:
Dang, Nguyen Viet, Wrochna, Michał
In this note, we consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator $\square_g$ is essentially self-adjoint. We review a recent result which gives the meromorphic continuation of the Lorentzian spe
Externí odkaz:
http://arxiv.org/abs/2202.06408
Autor:
Dang, Nguyen Viet, Wrochna, Michał
We define a dynamical residue which generalizes the Guillemin-Wodzicki residue density of pseudo-differential operators. More precisely, given a Schwartz kernel, the definition refers to Pollicott-Ruelle resonances for the dynamics of scaling towards
Externí odkaz:
http://arxiv.org/abs/2108.07529
Autor:
Shen, Dawei, Wrochna, Michał
Publikováno v:
Pure Appl. Analysis 4 (2022) 727-766
We consider the Dirac operator on asymptotically static Lorentzian manifolds with an odd-dimensional compact Cauchy surface. We prove that if Atiyah-Patodi-Singer boundary conditions are imposed at infinite times then the Dirac operator is Fredholm.
Externí odkaz:
http://arxiv.org/abs/2104.02816
Autor:
Dang, Nguyen Viet, Wrochna, Michał
We consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator $\square_g$ is known to be essentially self-adjoint. We define complex powers $(\square_g-i\varepsilon)^{-\alpha}$ by functional calculus, and
Externí odkaz:
http://arxiv.org/abs/2012.00712
We give a rigorous definition of the Unruh state in the setting of massless Dirac fields on slowly rotating Kerr spacetimes. In the black hole exterior region, we show that it is asymptotically thermal at Hawking temperature on the past event horizon
Externí odkaz:
http://arxiv.org/abs/2008.10995
Autor:
Gérard, Christian, Wrochna, Michał
We report on the well-posedness of the Feynman problem for the Klein-Gordon equation on asymptotically Minkowski spacetimes. The main result is the invertibility of the Klein-Gordon operator with Feynman conditions at infinite times. Furthermore, the
Externí odkaz:
http://arxiv.org/abs/2003.14404