Grøn / Hervik Einstein's General Theory of Relativity

With Modern Applications in Cosmology
1. Auflage 2007
ISBN: 978-0-387-69200-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 560 Seiten, eBook

The book introduces the general theory of relativity and includes applications to cosmology.  The book contains a thorough introduction to tensor calculus and curved manifolds.  After the necessary mathematical tools are introduced, we give a thorough presentation of the theory of relativity.  Also, some advanced topics not previously covered by textbooks; e.g. Kaluza-Klein theory, Israel's formalism and branes.  Anisotropic cosmological models are also included.The book contains a large number of new exercises and examples, each with separate headings.  The reader will get an updated introduction to general relativity including the most recent developments in cosmology.

Zielgruppe

Research

Autoren/Hrsg.

Grøn, Øyvind

Hervik, Sigbjorn

Inhaltsverzeichnis

Introduction: Newtonian Physics And Special Relativity.- Relativity Principles and Gravitation.- The Special Theory of Relativity.- The Mathematics Of The General Theory Of Relativity.- Vectors, Tensors, and Forms.- Basis Vector Fields and the Metric Tensor.- Non-inertial Reference Frames.- Differentiation, Connections, and Integration.- Curvature.- Einstein's Field Equations.- Einstein's Field Equations.- The Linear Field Approximation.- The Schwarzschild Solution and Black Holes.- Cosmology.- Homogeneous and Isotropic Universe Models.- Universe Models with Vacuum Energy.- Anisotropic and Inhomogeneous Universe Models.- Advanced Topics.- Covariant Decomposition, Singularities, and Canonical Cosmology.- Spatially Homogeneous Universe Models.- Israel's Formalism: The Metric Junction Method.- Brane-worlds.- Kaluza-Klein Theory.

Über Autor(innen)

Both authors are researchers in general relativity with particular emphasis on cosmology.  They have earned the following honors:  Illustrert Vitenskaps research prize (1988), The King's Gold Medal (1990), 2nd prize, Smith-Knight Rayleight-Knight prizes, Cambridge University (2003), and Research Prize of Oslo College of Engineering (2004).