Buch, Englisch, 281 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1320 g
Reihe: Lecture Notes in Physics
Buch, Englisch, 281 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1320 g
Reihe: Lecture Notes in Physics
ISBN: 978-3-540-31027-3
Verlag: Springer
General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress. This book collects surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods.
Zielgruppe
Research
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
Weitere Infos & Material
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.
