Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Hintz, Peter"'
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:
Hintz, Peter
Given a smooth globally hyperbolic $(3+1)$-dimensional spacetime $(M,g)$ satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike geodesic $\mathcal{C}$, we construct, on any compact subset of $M$, s
Externí odkaz:
http://arxiv.org/abs/2408.06715
Autor:
Hintz, Peter
Given a smooth globally hyperbolic $(3+1)$-dimensional spacetime $(M,g)$ satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike geodesic $\mathcal{C}$, we constructed in Part I a family of metrics
Externí odkaz:
http://arxiv.org/abs/2408.06712
Autor:
Hintz, Peter
We prove a general black box result which produces algebras of pseudodifferential operators (ps.d.o.s) on noncompact manifolds, together with a precise principal symbol calculus. Our construction (which also applies in parameter-dependent settings, w
Externí odkaz:
http://arxiv.org/abs/2408.06651
Autor:
Hintz, Peter
We develop a general theory for the existence, uniqueness, and higher regularity of solutions to wave-type equations on Lorentzian manifolds with timelike curves of cone-type singularities. These singularities may be of geometric type (cone points wi
Externí odkaz:
http://arxiv.org/abs/2405.10669
Autor:
Hintz, Peter
In spacetime dimensions $n+1\geq 4$, we show the existence of solutions of the Einstein vacuum equations which describe asymptotically de Sitter spacetimes with prescribed smooth data at the conformal boundary. This provides a short alternative proof
Externí odkaz:
http://arxiv.org/abs/2311.02739
Universality of the quantum energy flux at the inner horizon of asymptotically de Sitter black holes
Autor:
Hintz, Peter, Klein, Christiane
Publikováno v:
Class. Quantum Grav. 41 075006, 2024
Recently, it was found that the energy flux of a free scalar quantum field on a Reissner-Nordstr\"om-de Sitter spacetime has a quadratic divergence towards the inner horizon of the black hole. Moreover, the leading divergence was found to be state in
Externí odkaz:
http://arxiv.org/abs/2310.19655
Autor:
Hintz, Peter
On vacuum spacetimes of general dimension, we study the linearized Einstein vacuum equations with a spatially compactly supported and (necessarily) divergence-free source. We prove that the vanishing of appropriate charges of the source, defined in t
Externí odkaz:
http://arxiv.org/abs/2306.07715
Autor:
Hintz, Peter
Given a smooth globally hyperbolic $(3+1)$-dimensional spacetime satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike geodesic, we construct a family of metrics depending on a small parameter $\e
Externí odkaz:
http://arxiv.org/abs/2306.07409
Autor:
Hintz, Peter
We give a short proof of the existence of a small piece of null infinity for $(3+1)$-dimensional spacetimes evolving from asymptotically flat initial data as solutions of the Einstein vacuum equations. We introduce a modification of the standard wave
Externí odkaz:
http://arxiv.org/abs/2302.13804