53 citations · 236 across the 22 of their papers we have counts for
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Classification of Kerr-de Sitter-like spacetimes with conformally flat in all dimensions
Marc Mars, Carlos Peón-Nieto
Using asymptotic characterization results of spacetimes at conformal infinity, we prove that Kerr-Schild-de Sitter spacetimes are in one-to-one correspondence with spacetimes in th…
Multiple Killing Horizons: the initial value formulation for -vacuum
Marc Mars, Tim-Torben Paetz, José M. M. Senovilla
In Class. Quantum Grav. 35 (2018) 155015 we have introduced the notion of "Multiple Killing Horizon" and analyzed some of its general properties. Multiple Killing Horizons are Kill…
On the choice of a conformal Gauss gauge near the cylinder representing spatial infinity
Tim-Torben Paetz
A convenient approach to analyze spatial infinity is to use a cylinder representation and impose a gauge based on a congruence of conformal geodesics. This so-called conformal…
Multiple Killing Horizons and Near Horizon Geometries
Marc Mars, Tim-Torben Paetz, José M. M. Senovilla
Near Horizon Geometries with multiply degenerate Killing horizons are considered, and their degenerate Killing vector fields identified. We prove that they all arise…
On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes
Tim-Torben Paetz
We analyze the appearance of logarithmic terms at the critical sets of Friedrich's cylinder representation of spatial infinity. It is shown that if the radiation field vanishes at…
Multiple Killing Horizons
Marc Mars, Tim-Torben Paetz, José M. M. Senovilla
Killing horizons which can be such for two or more linearly independent Killing vectors are studied. We provide a rigorous definition and then show that the set of Killing vectors…
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
Piotr T. Chruściel, Gregory J. Galloway, Luc Nguyen +1
We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions . The result is established by first proving deformation-of-mas…
The limit of Kerr-de Sitter spacetime with infinite angular-momentum parameter
Marc Mars, Tim-Torben Paetz, José M. M. Senovilla
We consider the limit of the Kerr-de Sitter spacetime. The spacetime is a Petrov type-D solution of the vacuum Einstein field equations with a positive cosmol…
Analysis of a Bianchi-like equation satisfied by the Mars-Simon tensor
Florian Beyer, Tim-Torben Paetz
The Mars-Simon tensor (MST), which e.g. plays a crucial role to provide gauge invariant characterizations of the Kerr-NUT-(A)(dS) family, satisfies a Bianchi-like equation. In this…
Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. II. KIDs for the Kerr-(A)(de Sitter) family
Tim-Torben Paetz
We characterize Cauchy data sets leading to vacuum space-times with vanishing Mars-Simon tensor. This approach provides an algorithmic procedure to check whether a given initial da…
Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. I. A space-time approach
Tim-Torben Paetz
We provide an algorithm to check whether a given vacuum space-time admits a Killing vector field w.r.t. which the Mars-Simon tensor vanishes. In particular, we ob…
Classification of Kerr-de Sitter-like spacetimes with conformally flat Scri
Marc Mars, Tim-Torben Paetz, José M. M. Senovilla
We provide a classification of -vacuum spacetimes which admit a Killing vector field with respect to which the associated "Mars-Simon tensor" (MST) vanishes and having a confo…
Characterization of (asymptotically) Kerr-de Sitter-like spacetimes at null infinity
Marc Mars, Tim-Torben Paetz, José M. M. Senovilla +1
We investigate solutions to Einstein's vacuum field equations with positive cosmological constant which admit a smooth past null infinity à l…
Characteristic initial data and smoothness of Scri. II. Asymptotic expansions and construction of conformally smooth data sets
Tim-Torben Paetz
We derive necessary-and-sufficient conditions on characteristic initial data for Friedrich's conformal field equations in dimensions to have no logarithmic terms in an asympt…
Killing Initial Data on spacelike conformal boundaries
Tim-Torben Paetz
We analyze Killing Initial Data on Cauchy surfaces in conformally rescaled vacuum space-times satisfying Friedrich's conformal field equations. As an application, we derive the KID…
Characteristic initial data and smoothness of Scri. I. Framework and results
Piotr T. Chruściel, Tim-Torben Paetz
We analyze the Cauchy problem for the vacuum Einstein equations with data on a complete light-cone in an asymptotically Minkowskian space-time. We provide conditions on the free in…
The mass of light-cones
Piotr T. Chruściel, Tim-Torben Paetz
We give an elementary proof of positivity of total gravitational energy in space-times containing complete smooth light-cones.
KIDs prefer special cones
Tim-Torben Paetz
As complement to Class. Quantum Grav. 30 (2013) 235036 we analyze Killing initial data on characteristic Cauchy surfaces in conformally rescaled vacuum spacetimes satisfying Friedr…
A2: Mathematical relativity and other progress in classical gravity theory - a session report
Piotr T. Chruściel, Tim-Torben Paetz
We report on selected oral contributions to the A2 session "Mathematical relativity and other progress in classical gravity theory" of "The 20th International Conference on General…
Solutions of the vacuum Einstein equations with initial data on past null infinity
Piotr T. Chruściel, Tim-Torben Paetz
We prove existence of vacuum space-times with freely prescribable cone-smooth initial data on past null infinity.
Conformally covariant systems of wave equations and their equivalence to Einstein's field equations
Tim-Torben Paetz
We derive, in 3+1 spacetime dimensions, two alternative systems of quasi-linear wave equations, based on Friedrich's conformal field equations. We analyse their equivalence to Eins…
KIDs like cones
Piotr T. Chruściel, Tim-Torben Paetz
We analyze vacuum Killing Initial Data on characteristic Cauchy surfaces. A general theorem on existence of Killing vectors in the domain of dependence is proved, and some special…
The many ways of the characteristic Cauchy problem
Piotr T. Chruściel, Tim-Torben Paetz
We review various aspects of the characteristic initial value problem for the Einstein equations, presenting new approaches to some of the issues arising.