LMS Invited Lecture Series
31 March - 4 April, 2009
Black holes in a vacuum: examples and uniqueness properties
Local Organiser: James Wright
|[Introduction]||[Course Overview]||[Accommodation]||[Registration]||[Further Information]|
In addition to the lectures given by Professor Ionescu there will be more specialised one hour lectures given by
Lars Andersson (Albert Einstein Institute) on 01 April at 3pm
"Hidden symmetries and the wave equation on Kerr" Abstract
Alan Rendall (Albert Einstein Institute) on 02 April at 3pm
"Cosmic censorship: an introduction and status report"
Juan Antonio Valiente Kroon (Queen Mary, London) on 03 April at 3pm
"A characterisation of initial data sets for Kerr spacetime" Abstract
Here is the timetable for the lectures Timetable
A fundamental conjecture in General Relativity asserts that the domain of outer communication of a regular, stationary, four dimensional, vacuum black hole is isometrically diffeomorphic to the domain of outer communication of a Kerr black hole. One expects, due to gravitational radiation, that general, asymptotically flat solutions of the Einstein-vacuum equations1 settle down, asymptotically, into a stationary regime. Thus the conjecture, if true, would characterize all possible asymptotic states of the general evolution. So far the conjecture has been resolved, by combining results of Hawking  Carter  and Robinson , under the additional hypothesis of non-degenerate horizons and real analyticity of the space-time. The assumption of real analyticity is both hard to justify on physical grounds and difficult to dispense of. I will discuss some recent work, joint with S. Klainerman, aimed at understanding this conjecture in the class of smooth manifolds. We develop a new strategy to bypass analyticity based on a tensorial characterization of the Kerr space-times, and new geometric Carleman estimates.
 S.W. Hawking and G.F.R. Ellis, The large scale structure of space-time, Cambridge Univ. Press, 1973
 D.C. Robinson, Uniqueness of the Kerr black hole, Phys. Rev. Lett. 34 (1975), 905-906.
A longer course overview is available here.
The number of participants will be limited so we encourage those who are interested in participating to contact James Wright (J.R.Wright@ed.ac.uk) as early as possible.
Professor James Wright
School of Mathematics
University of Edinburgh
Edinburgh EH9 3JZ
Tel. +44 (0)131 650 8570
Fax. +44 (0)131 650 6553