Spacetime

Foundations of General Relativity and Differential Geometry
1999
ISBN: 978-3-540-66377-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 59, 436 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1810 g

Reihe: Lecture Notes in Physics Monographs

One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.

Zielgruppe

Research

Autoren/Hrsg.

Kriele, Marcus

Fachgebiete

• Naturwissenschaften Astronomie Zeitmesssysteme, Relativitätstheorie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Naturwissenschaften Astronomie Astrophysik

Inhaltsverzeichnis

Local theory of space and time.- Analysis on manifolds.- Space and time from a global point of view.- Pseudo-Riemannian manifolds.- General relativity.- Robertson-Walker cosmology.- Spherical symmetry.- Causality.- Singularity theorems.