An Isaac Newton Institute Conference

Einstein Constraint Equations

12 - 16 December 2005

Organisers: Professor PT Chrusciel (Tours) and Professor James Isenberg (Oregon)

Supported by the European Commission, Sixth Framework Programme - Marie Curie Conferences and Training Courses - MSCF-CT-2004-516558

and the Institute of Physics - Classical and Quantum Gravity

in association with the Newton Institute programme entitled
Global Problems in Mathematical Relativity

Programme | Participants | Photograph | Presentations on the web

Theme of Conference:

The most widely used approach for analyzing solutions of Einstein's gravitational field equations is the initial value formulation, and the key to the initial value formulation is the set of Einstein constraint equations. The study of the constraint equations and their solutions plays a major role in the search to understand the degrees of freedom of the gravitational field, in the search for a theory of gravity consistent with the quantum principle, and in the search for physically realistic models of astrophysical and cosmological gravitational systems. During the past few years, there has been significant progress in our understanding of the Einstein constraints. New ideas from geometric analysis, new techniques from numerical relativity, and new insights from seat-of-the pants physics have all led to this rapid progress.

Some of the topics to be discussed at the Conference are the following:

  • initial data engineering via gluing;
  • the quasi-spherical method for generating solutions;
  • new forms of the conformal decomposition;
  • practical attempts to build solutions of the constraint equations which model black hole collisions;
  • solutions of the constraints with prescribed boundary behavior;
  • rough solutions of the constraints;
  • solutions of the constraints with prescribed multipole behavior;
  • approximate solutions of the constraints with simplified dynamics ansatze;
  • stability of the constraints.

Invited Participants:

L Andersson; R Bartnik; R Beig; Y Choquet-Bruhat; G Cook; J Corvino; L Lindblom; L Lehner; S Dain; E Delay; G Galloway; G Huisken; D Maxwell; V Moncrief; F Nicolo; G Neugebauer; H Pfeiffer; D Pollack; M Scheel; R Schoen; G Weinstein.

Invited Speakers:

A Bahri; R Bartnik; S Brendle; J Corvino; S Dain; E Delay; GJ Galloway; G Huisken; M Khuri; L Lindblom; D Maerten; D Maxwell; P Miao; N O'Murchadha; F Pacard; H Pfeiffer; D Pollack; JW York.

Location and Cost:

The conference will take place at the Newton Institute and accommodation for participants will be provided in single study bedrooms with shared bathroom at Wolfson Court. The conference package, costing £455, includes accommodation, breakfast and dinner from dinner on Sunday 11 December 2005 to breakfast on Saturday 17 December 2005, and lunch and refreshments during the days that lectures take place.


The conference is supported by the European Community and funding is available, please indicate on the application form which EC category is applicable. Self-supporting participants are very welcome to apply. Participants who wish to attend but do not require the Conference Package will be charged a registration fee of £35.

Applications Forms:

Are available here. Invited participants to the semester long programme whose dates coincide with those of the workshop need not apply or pay any registration fee.

Closing Date:

The closing date for the receipt of applications is 30 June 2005

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