Gravitational Physics University of Vienna


Piotr T. Chruściel  

  [Oberwolfach photo collection]



(extended version)

Publications   (see also [SPIRES+HEP], [SAO/NASA (ADS)], [Google Scholar], [arXiv], or [MathSciNet])

Gravitational Physics, Fakultät für Physik
University of Vienna
Boltzmanngasse 5
A 1090 Vienna, Austria
phone: (+43 for Austria) (0 when calling from Austria) 1 4277 51556
email: Piotr.Chrusciel - at -

Elements of General Relativity
Click here for my lecture notes "Elements of General Relativity", published in the Birkhäuser series "Compact Textbooks in Mathematics" in 2020, based on introductory GR lectures held in Oxford and in Vienna

Geometry of Black Holes
You will find here everything you wanted to know on mathematical aspects of the "Geometry of Black Holes", as published in 2020 by Oxford University Press

Follow the link here for information about the program "Global Problems in Mathematical Relativity" which I co-organised in 2005 from August, 8, to December, 23 (with a short follow-up in October 2006) with Helmut Friedrich and Paul Tod at the Isaac Newton Institute for Mathematical Sciences in Cambridge.

50 years of the Cauchy problem in General Relativity
Here is a link to the electronic proceedings of the summer school "50 years of the Cauchy problem in General Relativity", which took place in Cargèse, Corsica, July 29 - August 10, 2002. The proceedings include the audio and video of the lectures.
The Sagonne Bay, as seen from the Cargèse Institute The Cargèse Institute

The Einstein Equations and the Large Scale Behavior of Gravitational Fields
Follow this link for the volume "The Einstein Equations and the Large Scale Behavior of Gravitational Fields (50 Years of the Cauchy Problem in General Relativity)" Chruściel, Piotr; Friedrich, Helmut (Eds.), 484 p., Birkhäuser (2004), which arose out of the lectures held at the Cargèse school. [Errata for the volume]

Selected (old) work:

gr17logo (22K)     Recent results in mathematical relativity
plenary lecture at GR17, Dublin, July 2004

The mass of asymptotically anti-de Sitter space-times, of asymptotically hyperboloidal hypersurfaces, and the Trautman-Bondi mass
work in collaboration with Jacek Jezierski, Szymon Leski, Marc Herzlich and Gabriel Nagy

Strong cosmic censorship: dynamics of Gowdy space-times
research in collaboration with Myeongjou Chae and Kayll Lake

Poor man, rich man: positive energy theorems
work in collaboration with Greg Galloway, and Robert Bartnik

Two black holes     Initial data engineering: existence of asymptotically simple vacuum space-times, "many black hole space-times", and all that
research in collaboration with Robert Beig, Erwann Delay, Jim Isenberg, Daniel Pollack, Rafe Mazzeo and Richard Schoen

Einstein-Rosen Bridge Einstein-Rosen Bridge     Black holes: naive, quasi-local, and otherwise

Regularity of Horizons, the Area Theorem, and related work
research in collaboration with Erwann Delay, Joe Fu, Greg Galloway, and Ralph Howard

Static vacuum spacetimes with negative cosmological constant
work in collaboration with Michael Anderson, Erwann Delay and Walter Simon

Polyhomogeneous solutions of wave equations in the radiation regime
work in collaboration with Olivier Lengard and Szymon Leski

LNP M70 A Hamiltonian framework for field theories in the radiating regime
written in collaboration with Jacek Jezierski and Jerzy Kijowski

Je ne suis plus responsable à Tours de la seconde année du Master de Mathématiques Orléans-Tours "Analyse Mathématique et Applications", cette fonction a été reprise par Guy Barles



Mittag-Leffler Institute University of Oxford Hertford College Universite de Tours Federation Denis Poisson, LMPT