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Publications Influence

The mass of asymptotically hyperbolic Riemannian manifolds

- P. Chru'sciel, M. Herzlich
- Mathematics, Physics
- 3 October 2001

We present a set of global invariants, called mass integrals, which can be defined for a large class of asymptotically hyperbolic Riemannian manifolds. When the boundary at infinity has spherical… Expand

192 21- PDF

On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations

- L. Andersson, P. Chru'sciel, H. Friedrich
- Mathematics
- 1 October 1992

The regularity of the solutions to the Yamabe Problem is considered in the case of conformally compact manifolds and negative scalar curvature. The existence of smooth hyperboloidal initial data for… Expand

166 18- PDF

On Lorentzian causality with continuous metrics

- P. Chru'sciel, James D E Grant
- Physics, Mathematics
- 2 November 2011

We present a systematic study of causality theory on Lorentzian manifolds with continuous metrics. Examples are given which show that some standard facts in smooth Lorentzian geometry, such as… Expand

56 16- PDF

On space-times with U(1) × U(1) symmetric compact Cauchy surfaces

- P. Chru'sciel
- Physics
- 15 August 1990

Abstract General space-times evolving from U (1) × U (1) symmetric Cauchy data prescribed on compact Cauchy surfaces are studied. Existence and properties of solutions of the constraint equations are… Expand

119 10

On uniqueness in the large of solutions of Einstein's equations ("strong cosmic censorship")

- P. Chru'sciel
- Physics
- 1991

98 10

On mapping properties of the general relativistic constraints operator in weighted function spaces

- P. Chru'sciel, E. Delay
- Physics, Mathematics
- 21 January 2003

Generalising an analysis of Corvino and Schoen, we study surjectivity properties of the constraint map in general relativity in a large class of weighted Sobolev spaces. As a corollary we prove… Expand

147 8- PDF

KIDs are Non-Generic

- R. Beig, P. Chru'sciel, R. Schoen
- Mathematics, Physics
- 10 March 2004

Abstract.We prove that the space-time developments of generic solutions of the vacuum constraint Einstein equations do not possess any global or local Killing vectors, when Cauchy data are prescribed… Expand

69 8- PDF

Boundary conditions at spatial infinity from a Hamiltonian point of view

- P. Chru'sciel
- Physics
- 1 December 2013

We show that the ADM mass and momentum are geometric invariants of asymptotically flat initial data sets

87 7- PDF

Rigid upper bounds for the angular momentum and centre of mass

- P. Chru'sciel, Daniel Maerten, P. Tod
- Physics
- 14 June 2006

We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and cosmological constant for non-singular asymptotically anti-de Sitter initial data sets on spin… Expand

38 7- PDF

Horizons Non-Differentiable on a Dense Set

- P. Chru'sciel, G. Galloway
- Physics
- 1 April 1998

Abstract:It is folklore knowledge amongst general relativists that horizons are well behaved, continuously differentiable hypersurfaces except perhaps on a negligible subset one needs not to bother… Expand

38 7

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