# Mathematical Sciences Research Institute

Home » Hot Topics: Black Holes in Relativity

# Workshop

Hot Topics: Black Holes in Relativity September 14, 2009 - September 18, 2009
 Registration Deadline: September 18, 2009 over 5 years ago June 14, 2009 over 5 years ago
Series: Hot Topic
Organizers Mihalis Dafermos (University of Cambridge) and Igor Rodnianski* (Princeton)
Speaker(s)

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Description

The mathematical study of the dynamics of the Einstein equations forms a central part of both partial differential equations and geometry, and is intimately related to our current physical understanding of gravitational collapse. The celebrated singularity theorems of Penrose, proven in the 1960s, showed that geodesic incompleteness is inevitable provided that initial data contain what is known as a closed trapped surface. Trapped surfaces are also related to the presence of black holes. A breakthrough into the understanding of trapped surface formation has recently been achieved by Christodoulou in his 600 page monograph: "The formation of black holes in General Relativity", Publications of the EMS, January 2009, where it is shown that trapped surfaces form in evolution for the Einstein vacuum equations from completely dispersed initial confgurations, a phenomenon caused purely by the focussing of gravitational waves. The proof brings together ideas from geometric analysis and non-linear hyperbolic equations and at the same time introduces new techniques adapted to large data problems. The methods will undoubtedly have many future applications in both general relativity and other equations of mathematical physics. Inparticular, the work provides the first global "large data" result in general relativity (without symmetry assumptions) and opens the possibility for many new developments on dynamical problems relating to black holes. Accomodations: A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The cut-off date for reservations is August 31, 2009. A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: BLACKHOLESMSRI. The cut-off date for reservations is August 13, 2009. We also hold a block of rooms at the Doubletree Hotel. Please mention the MSRI as a reference when making reservations by calling 510-548-7920 OR directly on their website. The Doubletree Hotel offers complementary shuttle to and from MSRI. The room rate is $99 per night. New, completely renovated Hotel Shattuck Plaza has rooms available for you as well! Click here to book online Or, you can make reservations calling the main line, 510-845-7300, and asking for the rate for Hot Topics: Black Holes in Relativity. The room rate is$119 per night plus tax.

Funding & Logistics

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

## Show Lodging

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.

A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is \$129 per night for a Deluxe Queen/King, based on availability.

Additional lodging options (short term housing page - Short Term Housing

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Schedule
Sep 14, 2009
Monday
 10:00 AM - 11:00 AM An introduction to the problem of evolution in general relativity Mihalis Dafermos (Princeton University) 11:30 AM - 12:30 PM Formation of black holes Demetrios Christodoulou 02:00 PM - 03:00 PM The characteristic initial value problem in General Relativity Alan Rendall
Sep 15, 2009
Tuesday
 10:00 AM - 11:00 AM Formation of black holes Demetrios Christodoulou 11:30 AM - 12:30 PM Aspects of marginally trapped surfaces in 2+1 and higher dimensional gravity Greg Galloway (University of Miami) 02:00 PM - 03:00 PM Constraint equations of General Relativity James Isenberg (University of Oregon)
Sep 16, 2009
Wednesday
 10:00 AM - 11:00 AM Formation of black holes Demetrios Christodoulou 11:30 AM - 12:30 PM On black holes uniqueness Spyridon Alexakis 02:00 PM - 03:00 PM Formation of black holes Demetrios Christodoulou 03:00 PM - 04:00 PM ADM revisited Robert Bartnik
Sep 17, 2009
Thursday
 10:00 AM - 11:00 AM Formation of black holes Demetrios Christodoulou 11:30 AM - 12:30 PM The black hole stability problem Mihalis Dafermos (Princeton University) 02:00 PM - 03:00 PM Hidden symmetries and decay for the wave equation in Schwarzschild and Kerr spacetimes Pieter Blue (University of Edinburgh) 02:30 PM - 03:00 PM The massive wave equation on Kerr-AdS spacetimes Gustav Holzegel (Imperial College, London) 03:30 PM - 04:00 PM The Klein-Gordon equation on asymptotically de Sitter spaces Mihai Tohaneanu 04:00 PM - 04:30 PM The Klein-Gordon equation on asymptotically de Sitter spaces Dean Baskin (Northwestern University)
Sep 18, 2009
Friday
 10:00 AM - 11:00 AM On the short pulse method and its applications Igor Rodnianski (Massachusetts Institute of Technology) 11:30 AM - 12:30 PM Quasinormal modes (resonances) for black holes Maciej Zworski (University of California, Berkeley) 02:00 PM - 03:00 PM Quasi-local mass Mu-Tao Wang (Columbia University)