Zobrazeno 1 - 10
of 508
pro vyhledávání: '"Chrusciel, P. T."'
We analyze existence and properties of solutions of two-dimensional general relativistic initial data sets with a negative cosmological constant, both on spacelike and characteristic surfaces. A new family of such vacuum, spacelike data parameterised
Externí odkaz:
http://arxiv.org/abs/2411.07423
We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in space dimension larger than or equal to two. The solution operator has good support propagation properties and gains two derivatives relativ
Externí odkaz:
http://arxiv.org/abs/2409.07502
We prove a nonlinear characteristic $C^k$-gluing theorem for vacuum gravitational fields in Bondi gauge for a class of characteristic hypersurfaces near static vacuum $n$-dimensional backgrounds, $n\ge 3$, with any finite $k$, with cosmological const
Externí odkaz:
http://arxiv.org/abs/2407.03903
We analyse the deformations of a cylindrical elastic body resulting from displacements in a varying gravitational field.
Comment: 31 pages, 21 figures
Comment: 31 pages, 21 figures
Externí odkaz:
http://arxiv.org/abs/2401.16949
We prove a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic hypersurfaces in static vacuum $(n+1)$-dimensional backgrounds with cosmological constant $ \Lambda \in \mathbb{R}$, $n\ge 4$. This gener
Externí odkaz:
http://arxiv.org/abs/2401.04442
Autor:
Chruściel, Piotr T., Wutte, Raphaela
We review notions of mass of asymptotically locally Anti-de Sitter three-dimensional spacetimes, and apply them to some known solutions. For two-dimensional general relativistic initial data sets the mass is not invariant under asymptotic symmetries,
Externí odkaz:
http://arxiv.org/abs/2401.04048
Autor:
Chruściel, Piotr T., Mars, Marc
We show that bifurcate Killing horizons with closed torsion form, in spacetimes of arbitrary dimension satisfying a Ricci-structure condition, arise from static Killing vectors. The result applies in particular to $\Lambda$-vacuum spacetimes.
Co
Co
Externí odkaz:
http://arxiv.org/abs/2309.15464
Autor:
Chruściel, Piotr T., Smołka, Tomasz
We analyse the Noether charges for scalar and Maxwell fields on light cones on a de Sitter, Minkowski, and anti-de Sitter backgrounds. Somewhat surprisingly, under natural asymptotic conditions all charges for the Maxwell fields on both the de Sitter
Externí odkaz:
http://arxiv.org/abs/2305.12980
Autor:
Chruściel, Piotr T.
We finish the proof of the no-hair theorem for stationary, analytic, connected, suitably regular, four dimensional vacuum black holes. We show how to define the surface gravity and the angular velocity of horizons without assuming analyticity. We poi
Externí odkaz:
http://arxiv.org/abs/2305.07329
We show that the maximal globally hyperbolic solution of the initial-value problem for the higher-dimensional vacuum Einstein equations on two transversally intersecting characteristic hypersurfaces contains a future neighborhood of the hypersurfaces
Externí odkaz:
http://arxiv.org/abs/2305.07306