On the global structure of the Pomeransky-Senkov black holes (2009)
Chruściel, Piotr T., Cortier, Julien
We construct analytic extensions of the Pomeransky-Senkov metrics with multiple Killing horizons and asymptotic regions. We show that, in our extensions, the singularities associated to an...
Mass, angular-momentum, and charge inequalities for axisymmetric initial data (2009)
Chruściel, Piotr T., Costa, João Lopes
We present the key elements of the proof of an upper bound for angular-momentum and charge in terms of the mass for electro-vacuum asymptotically flat axisymmetric initial data sets with simply...
Construction of N-body time-symmetric initial data sets in general relativity (2009)
Chruściel, Piotr T., Corvino, Justin, Isenberg, James
Given a collection of N asymptotically Euclidean ends with zero scalar curvature, we construct a Riemannian manifold with zero scalar curvature and one asymptotically Euclidean end, whose boundary...
On higher dimensional black holes with abelian isometry group (2008)
We consider (n+1)--dimensional, stationary, asymptotically flat, or Kaluza-Klein asymptotically flat black holes, with an abelian $s$--dimensional subgroup of the isometry group satisfying an...
Topological censorship for Kaluza-Klein space-times (2008)
Chruściel, Piotr T., Galloway, Gregory J., Solis, Didier
The standard topological censorship theorems require asymptotic hypotheses which are too restrictive for several situations of interest. In this paper we prove a version of topological censorship...
Maximal analytic extensions of the Emparan-Reall black ring (2008)
Chruściel, Piotr T., Cortier, Julien
We construct a Kruskal-Szekeres-type analytic extension of the Emparan-Reall black ring, and investigate its geometry. We prove that the extension is maximal, globally hyperbolic, and unique within a...
On uniqueness of stationary vacuum black holes (2008)
Chruściel, Piotr T., Costa, João Lopes
We prove uniqueness of the Kerr black holes within the connected, non-degenerate, analytic class of regular vacuum black holes.
Chruściel, Piotr T., Li, Yanyan, Weinstein, Gilbert
We extend the validity of Dain's angular-momentum inequality to maximal, asymptotically flat, initial data sets on a simply connected manifold with several asymptotically flat ends which are...
On Mason's rigidity theorem (2007)
Chruściel, Piotr T., Tod, Paul
Following an argument proposed by Mason, we prove that there are no algebraically special asymptotically simple vacuum space-times with a smooth, shear-free, geodesic congruence of principal null...
On the Ernst electro-vacuum equations and ergosurfaces (2007)
Chruściel, Piotr T., Szybka, Sebastian J.
The question of smoothness at the ergosurface of the space-time metric constructed out of solutions (E,phi) of the Ernst electro-vacuum equations is considered. We prove smoothness of those...
An angular momentum bound at null infinity (2007)
Chruściel, Piotr T., Tod, Paul
We prove an inequality relating the trace of the extrinsic curvature, the total angular momentum, the centre of mass, and the Trautman-Bondi mass for a class of gravitational initial data sets with...
The asymptotics of stationary electro-vacuum metrics in odd space-time dimensions (2006)
Beig, Robert, Chruściel, Piotr T.
We show that stationary, asymptotically flat solutions of the electro-vacuum Einstein equations are analytic at $i^0$, for a large family of gauges, in odd space-time dimensions higher than seven....
Conformal boundary extensions of Lorentzian manifolds (2006)
We study the question of local and global uniqueness of completions, based on null geodesics, of Lorentzian manifolds. We show local uniqueness of such boundary extensions. We give a necessary and...
Beig, Robert, Chruściel, Piotr T.
We review the theory of stationary black hole solutions of vacuum Einstein equations.
Boundary regularity of conformally compact Einstein metrics (2005)
Chruściel, Piotr T., Delay, Erwann, Lee, John M., Skinner, Dale N.
We show that C2 conformally compact Riemannian Einstein metrics have conformal compactifications that are smooth up to the boundary in dimension 3 and all even dimensions, and polyhomogeneous in odd...
The Trautman-Bondi mass of hyperboloidal initial data sets (2004)
Chruściel, Piotr T., Jezierski, Jacek, łęski, Szymon
We give a definition of mass for conformally compactifiable initial data sets. The asymptotic conditions are compatible with existence of gravitational radiation, and the compactifications are...
Cauchy horizons in Gowdy space times (2003)
Chruściel, Piotr T., Lake, Kayll
We analyse exhaustively the structure of \emph{non-degenerate} Cauchy horizons in Gowdy space-times, and we establish existence of a large class of non-polarized Gowdy space-times with such horizons....
Regularity of Horizons and The Area Theorem (2000)
Chruściel, Piotr T., Delay, Erwann, Galloway, Gregory J., Howard, Ralph
We prove that the area of sections of future event horizons in space-times satisfying the null energy condition is non-decreasing towards the future under any one of the following circumstances: 1)...
We show that static electro-vacuum black hole space-times containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of the...
We prove non-existence of static, vacuum, appropriately regular, asymptotically flat black hole space-times with degenerate (not necessarily connected) components of the event horizon. This finishes...
Uniqueness of the Trautman--Bondi mass (1998)
Chruściel, Piotr T., Jezierski, Jacek, MacCallum, Malcolm A. H.
It is shown that the only functionals, within a natural class, which are monotonic in time for all solutions of the vacuum Einstein equations admitting a smooth ``piece'' of conformal null infinity...
Global Foliations of Vacuum Spacetimes with $T^2$ Isometry (1997)
Berger, Beverly K., Isenberg, James, Chruściel, Piotr T., Moncrief, Vincent
We prove a global existence theorem (with respect to a geometrically- defined time) for globally hyperbolic solutions of the vacuum Einstein equations which admit a $T^2$ isometry group with...
Uniqueness of stationary, electro-vacuum black holes revisited (1996)
In recent years there has been some progress in the understanding of the global structure of stationary black hole space-times. In this paper we review some new results concerning the structure of...
On rigidity of analytic black holes (1996)
We establish global extendibility (to the domain of outer communications) of locally defined isometries of appropriately regular analytic black holes. This allows us to fill a gap in the...
Chruściel, Piotr T., Rendall, Alan D.
We consider the question of strong cosmic censorship in spatially compact, spatially locally homogeneous vacuum models. We show in particular that strong cosmic censorship holds in Bianchi IX vacuum...