Analytical and Numerical Approaches to Mathematical Relativity

Sir Roger Penrose ist Rouse-Ball-Professor für Mathematik an der Universität Oxford und Mitglied der Royal Society. Für seine wissenschaftlichen Beiträge zur Kosmologie (insbesondere zur Theorie der Schwarzen Löcher) und zur Parkettierungstheorie (in die er die nach ihm benannte nicht-periodische Parkettierung der Ebene einführte) erhielt er zahlreiche wissenschaftliche Auszeichnungen und den Adelstitel der Britischen Krone.

Differential Geometry and Differential Topology.- A Personal Perspective on Global Lorentzian Geometry.- The Space of Null Geodesics (and a New Causal Boundary).- Some Variational Problems in Semi-Riemannian Geometry.- On the Geometry of pp-Wave Type Spacetimes.- Analytical Methods and Differential Equations.- Concepts of Hyperbolicity and Relativistic Continuum Mechanics.- Elliptic Systems.- Mathematical Properties of Cosmological Models with Accelerated Expansion.- The Poincaré Structure and the Centre-of-Mass of Asymptotically Flat Spacetimes.- Numerical Methods.- Computer Simulation - a Tool for Mathematical Relativity - and Vice Versa.- On Boundary Conditions for the Einstein Equations.- Recent Analytical and Numerical Techniques Applied to the Einstein Equations.- Some Mathematical Problems in Numerical Relativity.

From the reviews:

"The 319th Wilhelm-and-Else-Heraeus Seminar 'Mathematical Relativity: New Ideas and Developments' took place in March 2004. Twelve of the invited speakers have expanded their one hour talks into the papers appearing in this volume ... . volume contains a wealth of diverse, fascinating material which needs to be perused by research students and others new to this field. Many will wish to buy it, but even if you do not, make sure your institution's library purchases a copy!" (John M Stewart, Classical and Quantum Gravity, Issue 24, 2007)