Analytical and Numerical Approaches to Mathematical Relativity

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Frauendiener, Jörg (Επιμελητής έκδοσης), Giulini, Domenico J.W (Επιμελητής έκδοσης), Perlick, Volker (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Lecture Notes in Physics, 692
• Θέματα: Physics.; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Gravitation.; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Methods in Physics.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Numerical and Computational Physics.

Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view t...

Πίνακας περιεχομένων:

• 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.