Univ.-Prof. Piotr T. Chrusciel, MSc PhD
Piotr T. Chrusciel
















Chrusciel, P. T. (2020). Geometry of black holes. Oxford University Press. International Series of Monographs on Physics Vol. 169 https://doi.org/10.1093/oso/9780198855415.001.0001




Gluing, black holes, and all that

Piotr T. Chrusciel (Speaker)

5 Sep 2023

Activity: Talks and presentationsTalk or oral contributionScience to Science


Mass in 2+1 dimensions

Piotr T. Chrusciel (Speaker)

5 Sep 2023

Activity: Talks and presentationsTalk or oral contributionScience to Science


Recent progress in mathematical general relativity

Piotr T. Chrusciel (Speaker)

24 Jul 2023

Activity: Talks and presentationsTalk or oral contributionScience to Science


Gluing variations

Piotr T. Chrusciel (Speaker)

10 Jul 2023

Activity: Talks and presentationsTalk or oral contributionScience to Science


Conformally compact Riemannian manifolds with negative mass

Piotr T. Chrusciel (Speaker)

9 May 2023

Activity: Talks and presentationsTalk or oral contributionScience to Science


Gluing variations

Piotr T. Chrusciel (Speaker)

17 Apr 2023

Activity: Talks and presentationsTalk or oral contributionScience to Science


Gluing variations

Piotr T. Chrusciel (Speaker)

31 Mar 2023

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary black holes with or without a cosmological constant

Piotr T. Chrusciel (Speaker)

8 Sep 2022

Activity: Talks and presentationsTalk or oral contributionScience to Science


Hyperbolic mass and Maskit gluing

Piotr T. Chrusciel (Speaker)

31 Aug 2022

Activity: Talks and presentationsTalk or oral contributionScience to Science


Mathematical relativity and beyond

Piotr T. Chrusciel (Speaker)

23 May 2022

Activity: Talks and presentationsTalk or oral contributionScience to Science


Maskit gluing and hyperbolic mass

Piotr T. Chrusciel (Speaker)

7 Apr 2022

Activity: Talks and presentationsTalk or oral contributionScience to Science


Maskit gluing and hyperbolic mass

Piotr T. Chrusciel (Speaker)

17 Mar 2022

Activity: Talks and presentationsTalk or oral contributionScience to Science


Asymptotically locally hyperbolic metrics with negative mass

Piotr T. Chrusciel (Speaker)

18 Feb 2022

Activity: Talks and presentationsTalk or oral contributionScience to Science


Asymptotically hyperbolic initial data sets with higher genus infinity and negative mass

Piotr T. Chrusciel (Speaker)

21 Dec 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


Mass of asymptotically hyperbolic manifolds

Piotr T. Chrusciel (Speaker)

11 Oct 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


Gravitating waveguides

Piotr T. Chrusciel (Speaker)

3 Sep 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


Quo Vadis, Mathematical GR

Piotr T. Chrusciel (Speaker)

30 Aug 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


The hyperbolic positive energy theorem

Piotr T. Chrusciel (Speaker)

2 Jul 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


The hyperbolic positive energy theorem

Piotr T. Chrusciel (Speaker)

1 Jul 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


The hyperbolic positive energy theorem

Piotr T. Chrusciel (Speaker)

3 Jun 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


Gravitating waveguides

Piotr T. Chrusciel (Speaker)

4 May 2021

Activity: Talks and presentationsTalk or oral contributionScience to Science


Static vacuum black holes and Lambda

Piotr T. Chrusciel (Speaker)

29 Oct 2020

Activity: Talks and presentationsTalk or oral contributionScience to Science


The hyperbolic positive energy theorem

Piotr T. Chrusciel (Speaker)

28 Apr 2020

Activity: Talks and presentationsTalk or oral contributionScience to Science


Energy of weak gravitational waves with a positive cosmological constant

Piotr T. Chrusciel (Speaker)

20 Mar 2020

Activity: Talks and presentationsTalk or oral contributionScience to Science


Positivity of energy for asymptotically hyperbolic manifolds

Piotr T. Chrusciel (Speaker)

16 Sep 201920 Sep 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Introduction to mass and energy in general relativity - Lecture 1

Piotr T. Chrusciel (Invited speaker)

15 Jul 201926 Jul 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Introduction to mass and energy in general relativity - Lecture 2

Piotr T. Chrusciel (Invited speaker)

15 Jul 201926 Jul 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Introduction to mass and energy in general relativity - Lecture 3

Piotr T. Chrusciel (Invited speaker)

15 Jul 201926 Jul 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Introduction to mass and energy in general relativity - Lecture 4

Piotr T. Chrusciel (Invited speaker)

15 Jul 201926 Jul 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary Solutions of Einstein-matter equations with a negative cosmological constant

Piotr T. Chrusciel (Speaker)

30 May 20192 Jun 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Roads to topological censorphip

Piotr T. Chrusciel (Speaker)

18 Apr 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Positivity of hyperbolic mass

Piotr T. Chrusciel (Speaker)

7 Mar 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Topics in mathematical relativity

Piotr T. Chrusciel (Invited speaker)

19 Feb 201921 Feb 2019

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary black holes with negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

19 Nov 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary Black holes with negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

11 Oct 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Black holes with a negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

24 Sep 201827 Sep 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Towards uniqueness of near-horizon geometries

Piotr T. Chrusciel (Invited speaker)

5 Aug 201811 Aug 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Physical and mathematical aspects of General relativity

Piotr T. Chrusciel (Speaker)

16 Jul 201820 Jul 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Black hole uniqueness theorems

Piotr T. Chrusciel (Speaker)

11 Jul 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


The mass of asymptotically hyperbolic manifolds

Piotr T. Chrusciel (Invited speaker)

17 Jun 201824 Jun 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Black Holes with a Negative Cosmological Constant

Piotr T. Chrusciel (Invited speaker)

9 May 201811 May 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Time-periodic solutions of Einstein equations with a negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

19 Mar 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Theory of Relativity and Gravity Seminar, Stationary Solutions of Einstin-matter equations with a negavtive cosmological constant

Piotr T. Chrusciel (Invited speaker)

16 Mar 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Über Gravitationswellen

Piotr T. Chrusciel (Invited speaker)

15 Mar 2018

Activity: Talks and presentationsTalk or oral contributionScience to Science


Periodic solutions of wave equations

Piotr T. Chrusciel (Speaker)

13 Dec 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Gravity screening a la Carlotto-Schoen

Piotr T. Chrusciel (Invited speaker)

9 Nov 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary black holes with matter fields and negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

7 Nov 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Physik-Nobelpreis 2017

Piotr T. Chrusciel (Speaker)

31 Oct 2017

Activity: Talks and presentationsTalk or oral contributionScience to Public


Stationary black holes with a negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

23 Oct 201727 Oct 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary black holes with matter fields and negative cosmological constant

Piotr T. Chrusciel (Speaker)

5 Oct 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary black holes with a negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

28 Jun 20176 Jul 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Space-time singularities with controlled asymtotics and without symmetries

Piotr T. Chrusciel (Invited speaker)

29 May 20171 Jun 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Stationary solutions of Einstein-matter equations with a negative cosmological constant

Piotr T. Chrusciel (Invited speaker)

17 Mar 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Radiating space-times

Piotr T. Chrusciel (Invited speaker)

10 Jan 201712 Jan 2017

Activity: Talks and presentationsTalk or oral contributionScience to Science


Radiating solutions of the vacuum Einstein equations

Piotr T. Chrusciel (Invited speaker)

10 Dec 2016

Activity: Talks and presentationsTalk or oral contributionOther


Anti-gravité à la Carlotto et Schoen

Piotr T. Chrusciel (Invited speaker)

5 Nov 2016

Activity: Talks and presentationsTalk or oral contributionOther


Anti-gravity a la Charlotte-Schoen

Piotr T. Chrusciel (Speaker)

3 Nov 2016

Activity: Talks and presentationsTalk or oral contributionOther


Matematical foundations of the theory of gravitational waves

Piotr T. Chrusciel (Invited speaker)

10 Oct 2016

Activity: Talks and presentationsTalk or oral contributionOther


Gluing methods in general relativity

Piotr T. Chrusciel (Invited speaker)

28 Sep 2016

Activity: Talks and presentationsTalk or oral contributionOther


The Past Limit of Trautman-Bondi Mass

Piotr T. Chrusciel (Invited speaker)

26 Sep 2016

Activity: Talks and presentationsTalk or oral contributionOther


The many ways of the characteristic Cauchy problem

Piotr T. Chrusciel (Invited speaker)

9 Sep 2016

Activity: Talks and presentationsTalk or oral contributionOther


The mathematics of gravitational waves

Piotr T. Chrusciel (Invited speaker)

30 Jun 2016

Activity: Talks and presentationsTalk or oral contributionOther


The cosmological constant and the energy of gravitational radiation

Piotr T. Chrusciel (Invited speaker)

23 May 201624 May 2016

Activity: Talks and presentationsTalk or oral contributionOther


Gluing things in general relativity

Piotr T. Chrusciel (Invited speaker)

11 May 2016

Activity: Talks and presentationsTalk or oral contributionOther


Mathematics of gravitational waves

Piotr T. Chrusciel (Invited speaker)

25 Apr 2016

Activity: Talks and presentationsTalk or oral contributionOther


Mass oc characteristic surfaces

Piotr T. Chrusciel (Invited speaker)

29 Mar 2016

Activity: Talks and presentationsTalk or oral contributionOther


The mathematics of gravitation

Piotr T. Chrusciel (Invited speaker)

9 Mar 2016

Activity: Talks and presentationsTalk or oral contributionOther


Singularities in general relativity

Piotr T. Chrusciel (Invited speaker)

3 Mar 2016

Activity: Talks and presentationsTalk or oral contributionOther


Mass of characteristic surfaces

Piotr T. Chrusciel (Invited speaker)

24 Feb 2016

Activity: Talks and presentationsTalk or oral contributionOther


General relativistic constraint equations

Piotr T. Chrusciel (Invited speaker)

19 Feb 2016

Activity: Talks and presentationsTalk or oral contributionOther


On General relativistic constraint equations

Piotr T. Chrusciel (Invited speaker)

5 Jan 20169 Jan 2016

Activity: Talks and presentationsTalk or oral contributionOther


Singularities in General Relativity

Piotr T. Chrusciel (Invited speaker)

27 Nov 2015

Activity: Talks and presentationsTalk or oral contributionOther


About Instantons

Piotr T. Chrusciel (Speaker)

6 Nov 2015

Activity: Talks and presentationsTalk or oral contributionOther


Introduction to the mathematical theory of black holes

Piotr T. Chrusciel (Invited speaker)

28 Sep 20151 Oct 2015

Activity: Talks and presentationsTalk or oral contributionOther


Bifurcating Solutions of the constraint equations

Piotr T. Chrusciel (Invited speaker)

24 Sep 2015

Activity: Talks and presentationsTalk or oral contributionOther


Singularities in General Relativity

Piotr T. Chrusciel (Invited speaker)

11 Sep 2015

Activity: Talks and presentationsTalk or oral contributionOther


General Relativistic Constraint Equations

Piotr T. Chrusciel (Invited speaker)

1 Jul 2015

Activity: Talks and presentationsTalk or oral contributionOther


General Relativistic Constraint Equations

Piotr T. Chrusciel (Invited speaker)

7 Jun 201512 Jun 2015

Activity: Talks and presentationsTalk or oral contributionOther


Characteristic Cauchy problems in general relativity

Piotr T. Chrusciel (Invited speaker)

17 Mar 2015

Activity: Talks and presentationsTalk or oral contributionOther


Time Functions

Piotr T. Chrusciel (Invited speaker)

3 Feb 2015

Activity: Talks and presentationsTalk or oral contributionOther


Bifurcating Solutions of the constraint equations

Piotr T. Chrusciel (Speaker)

16 Jan 2015

Activity: Talks and presentationsTalk or oral contributionOther


Bifurcating Solutions of the constraint equations

Piotr T. Chrusciel (Invited speaker)

23 Sep 2014

Activity: Talks and presentationsTalk or oral contributionOther


General relativity: theory and experiment

Piotr T. Chrusciel (Invited speaker)

20 Sep 2014

Activity: Talks and presentationsTalk or oral contributionOther


General relativistic constraint equation

Piotr T. Chrusciel (Invited speaker)

3 Aug 20148 Aug 2014

Activity: Talks and presentationsTalk or oral contributionOther


Are light-cones light?

Piotr T. Chrusciel (Invited speaker)

29 Jun 20144 Jul 2014

Activity: Talks and presentationsTalk or oral contributionOther


General Relativity: Mathematics, experiment

Piotr T. Chrusciel (Invited speaker)

5 May 20147 May 2014

Activity: Talks and presentationsTalk or oral contributionOther


Trautman-Bondi mass of light-cones

Piotr T. Chrusciel (Invited speaker)

19 Mar 2014

Activity: Talks and presentationsTalk or oral contributionOther


Trautman-Bondi mass of light-cones

Piotr T. Chrusciel (Invited speaker)

14 Mar 2014

Activity: Talks and presentationsTalk or oral contributionOther


Trautmann-Bondi mass of light-cones

Piotr T. Chrusciel (Invited speaker)

8 Feb 2014

Activity: Talks and presentationsTalk or oral contributionOther


Trautman-Bondi mass of light-cones

Piotr T. Chrusciel (Invited speaker)

15 Jan 2014

Activity: Talks and presentationsTalk or oral contributionOther


Many ways of the Cauchy problem

Piotr T. Chrusciel (Invited speaker)

9 Jan 201410 Jan 2014

Activity: Talks and presentationsTalk or oral contributionOther


On Lorentzian causality with continuous metrics

Piotr T. Chrusciel (Invited speaker)

26 Jul 2013

Activity: Talks and presentationsTalk or oral contributionOther


General relativity: mathematics and experiment

Piotr T. Chrusciel (Invited speaker)

25 Feb 2013

Activity: Talks and presentationsTalk or oral contributionOther


Space-time diagrammatics

Piotr T. Chrusciel (Invited speaker)

1 Feb 2013

Activity: Talks and presentationsTalk or oral contributionOther


Causality with continuous metrics

Piotr T. Chrusciel (Speaker)

19 Nov 2012

Activity: Talks and presentationsTalk or oral contributionOther


Lorentzian causality with continuous metrics

Piotr T. Chrusciel (Speaker)

19 Nov 2012

Activity: Talks and presentationsTalk or oral contributionOther


Space-time diagrammatics

Piotr T. Chrusciel (Speaker)

19 Nov 2012

Activity: Talks and presentationsTalk or oral contributionOther


Black holes as a mathematical problem

Piotr T. Chrusciel (Speaker)

15 Nov 2012

Activity: Talks and presentationsTalk or oral contributionOther


Introduction to the general relativistic constraint equations

Piotr T. Chrusciel (Speaker)

8 Oct 2012

Activity: Talks and presentationsTalk or oral contributionOther


Causality with continuous metrics

Piotr T. Chrusciel (Speaker)

30 Jul 2012

Activity: Talks and presentationsTalk or oral contributionOther


Mathematical theory of black holes

Piotr T. Chrusciel (Speaker)

4 Jun 2012

Activity: Talks and presentationsTalk or oral contributionOther


The many ways of the characteristic Cauchy problem

Piotr T. Chrusciel (Invited speaker)

14 May 2012

Activity: Talks and presentationsTalk or oral contributionOther


General relativistic constraint equations

Piotr T. Chrusciel (Invited speaker)

2 Apr 2012

Activity: Talks and presentationsTalk or oral contributionOther


Causality for continuous metrics

Piotr T. Chrusciel (Speaker)

12 Nov 2011

Activity: Talks and presentationsTalk or oral contributionOther


Causality for continuous Lorentzian metrics

Piotr T. Chrusciel (Speaker)

28 Oct 2011

Activity: Talks and presentationsTalk or oral contributionOther


Causality for continuous Lorentzian metrics

Piotr T. Chrusciel (Speaker)

22 Oct 2011

Activity: Talks and presentationsTalk or oral contributionOther


General reltivistic constraint equations

Piotr T. Chrusciel (Speaker)

31 Aug 2011

Activity: Talks and presentationsTalk or oral contributionOther


On the general relativistic constraint equations

Piotr T. Chrusciel (Speaker)

14 Feb 2011

Activity: Talks and presentationsTalk or oral contributionOther


The Cauchy problem on a light-cone

Piotr T. Chrusciel (Speaker)

10 Feb 2011

Activity: Talks and presentationsTalk or oral contributionOther


Cauchy problem for the Einstein equations

Piotr T. Chrusciel (Speaker)

9 Feb 2011

Activity: Talks and presentationsTalk or oral contributionOther


Black Holes

Piotr T. Chrusciel (Speaker)

8 Feb 2011

Activity: Talks and presentationsTalk or oral contributionOther


General Relativity: mathematics experiment

Piotr T. Chrusciel (Speaker)

7 Feb 2011

Activity: Talks and presentationsTalk or oral contributionOther


On the general relativistic constraint equations

Piotr T. Chrusciel (Speaker)

20 Jan 2011

Activity: Talks and presentationsTalk or oral contributionOther


The Cauchy problem on the light cone

Piotr T. Chrusciel (Speaker)

11 Nov 2010

Activity: Talks and presentationsTalk or oral contributionOther


Cauchy problem in general relativity

Piotr T. Chrusciel (Speaker)

18 Oct 2010

Activity: Talks and presentationsTalk or oral contributionOther


Higher dimensional black holes

Piotr T. Chrusciel (Speaker)

21 Sep 2010

Activity: Talks and presentationsTalk or oral contributionOther


On higher dimensional black holes

Piotr T. Chrusciel (Speaker)

21 Sep 2010

Activity: Talks and presentationsTalk or oral contributionOther


Higher dimensional black holes

Piotr T. Chrusciel (Speaker)

11 Sep 2010

Activity: Talks and presentationsTalk or oral contributionOther


Cauchy problem on the light cone

Piotr T. Chrusciel (Speaker)

2 Jul 2010

Activity: Talks and presentationsTalk or oral contributionOther


Higher dimensional black holes

Piotr T. Chrusciel (Speaker)

2 Jul 2010

Activity: Talks and presentationsTalk or oral contributionOther


Higher dimensional black holes

Piotr T. Chrusciel (Speaker)

20 Jun 2010

Activity: Talks and presentationsTalk or oral contributionOther


Gravitational Physics

Head

Währinger Straße 17
1090 Wien
Room: 107/108

T: +43-1-4277-51556

piotr.chrusciel@univie.ac.at