Conjectures that have been proved
The black hole stability conjecture is the conjecture that a perturbed Kerr black hole will settled back down to a stable state. This has been an open problem in general relativity for some time. A 2016 paper proved the stability of slowly rotating Kerr black holes in de Sitter space. A limited stability result for Kerr black holes in Schwarzschild space-time was published by Klainerman et. al. in 2017. Culminating in 2022, a series of papers was published by Klainerman et. al. which present a proof of the conjecture for slowly rotating Kerr black holes in Minkowski space-time. (Wikipedia).
Peter Hintz: The stability of Kerr-de Sitter black holes
Abstract: In this lecture I will discuss Kerr-de Sitter black holes, which are rotating black holes in a universe with a positive cosmological constant, i.e. they are explicit solutions (in 3+1 dimensions) of Einstein's equations of general relativity. They are parameterized by their mass
From playlist Mathematical Physics
24/11/2015 - Sergiu Klainerman - Lecture 5 - On The Mathematical Theory of Black Holes
The lectures will focus on some of the key issues of mathematical theory of black holes, i.e. rigidity, stability and collapse. The first two issues can be neatly summarized by two well known conjectures. The rigidity conjecture identifies the class of stationary, asymptotical
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
16/10/2015 - Sergiu Klainerman - Lecture 1 - On The Mathematical Theory of Black Holes
The lectures will focus on some of the key issues of mathematical theory of black holes, i.e. rigidity, stability and collapse. The first two issues can be neatly summarized by two well known conjectures. The rigidity conjecture identifies the class of stationary, asymptotical
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
10/11/2015 - Sergiu Klainerman - Lecture 4 - On The Mathematical Theory of Black Holes
The lectures will focus on some of the key issues of mathematical theory of black holes, i.e. rigidity, stability and collapse. The first two issues can be neatly summarized by two well known conjectures. The rigidity conjecture identifies the class of stationary, asymptotical
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
20/10/2015 - Sergiu Klainerman - Lecture 2 - On The Mathematical Theory of Black Holes
The lectures will focus on some of the key issues of mathematical theory of black holes, i.e. rigidity, stability and collapse. The first two issues can be neatly summarized by two well known conjectures. The rigidity conjecture identifies the class of stationary, asymptotical
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 3)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 4)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
03/11/2015 - Sergiu Klainerman - Lecture 3 - On The Mathematical Theory of Black Holes
The lectures will focus on some of the key issues of mathematical theory of black holes, i.e. rigidity, stability and collapse. The first two issues can be neatly summarized by two well known conjectures. The rigidity conjecture identifies the class of stationary, asymptotical
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 2)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Sergiu Klainerman - 2/4 On the Mathematical Theory of Black Holes
https://indico.math.cnrs.fr/event/3463/ The gravitational waves detected by LIGO were produced in the final faze of the inward spiraling of two black holes before they collided to produce a more massive black hole. The experiment is entirely consistent with the so called Final State Conjec
From playlist Sergiu Klainerman - On the Mathematical Theory of Black Holes
Sergiu Klainerman - 1/4 On the Mathematical Theory of Black Holes
https://indico.math.cnrs.fr/event/3463/ The gravitational waves detected by LIGO were produced in the final faze of the inward spiraling of two black holes before they collided to produce a more massive black hole. The experiment is entirely consistent with the so called Final State Conjec
From playlist Sergiu Klainerman - On the Mathematical Theory of Black Holes
Mihalis DAFERMOS - The stability of the Kerr Cauchy horizon...
The stability of the Kerr Cauchy horizon and the strong cosmic censorship conjecture in general relativity I will discuss recent work on black hole interiors for dynamical vacuum spacetimes (without any symmetry) and what this means for the question of the nature of generic singularities
From playlist Trimestre "Ondes Non linéaires" - June Conference
On the mathematical theory of black holes I - Sergiu Klainerman
Hermann Weyl Lectures Topic: On the mathematical theory of black holes I Speaker: Sergiu Klainerman Affiliation: Princeton University Date: October 16, 2017 For more videos, please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
Mihalis Dafermos - Strong Cosmic Censorship versus Λ - IPAM at UCLA
Recorded 27 October 2021. Mihalis Dafermos of Princeton University presents "Strong Cosmic Censorship versus Λ" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: The strong cosmic censorship conjecture is a fundamental open problem in classical general rel
From playlist Workshop: Mathematical and Numerical Aspects of Gravitation
Mihalis Dafermos - The "inside story" of black hole stability
The "inside story" of black hole stability Licence: CC BY NC-ND 4.0
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
17/11/2015 - Mihalis Dafermos - The stability problem for black holes...
The stability problem for black holes & the cosmic censorship conjectures https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-mihalisdafermos.pdf
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
Frans Pretorius - Testing General Relativity with Black Hole Mergers - IPAM at UCLA
Recorded 25 October 2021. Frans Pretorius of Princeton University presents "Testing General Relativity with Black Hole Mergers" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: Testing the predictions of general relativity in the dynamical strong-field re
From playlist Workshop: Mathematical and Numerical Aspects of Gravitation
Plenary Lectures by Robert Kirshner, Mihalis Dafermos
PROGRAM: INTERNATIONAL CONFERENCE ON GRAVITATION AND COSMOLOGY DECEMBER 14-19, 2011 GOA, INDIA ORGANIZERS: Subhabrata Majumdar, B.S. Sathyaprakash, Tejinder Pal Singh and Tarun Souradeep DATE & TIME: 15 December 2011 to 19 December 2011 VENUE: IUCAA, Mobor Beach, Goa International Confer
From playlist International Conference on Gravitation and Cosmology 2011
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 1)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale