Einstein's General Theory of Relativity

With Modern Applications in Cosmology
2. Auflage 2027
ISBN: 978-3-032-00558-8
Verlag: Springer-Verlag GmbH

Buch, Englisch, 448 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Graduate Texts in Physics

This book is the second edition of the well-received textbook on the theory of general relativity by Øyvind G. Grøn and Sigbjørn Hervik. It introduces the general theory of relativity and includes applications to cosmology. The reader is given an updated introduction to general relativity including the most recent developments in cosmology. The book contains a thorough introduction to tensor calculus and curved manifolds.

After the necessary mathematical tools are introduced, the book provides a thorough presentation of the theory of relativity including a chapter on gravitational waves. This revised edition also contains detailed solutions to all the exercises in the first thirteen chapters for fundamental material, up to the remaining chapters devoted to advanced topics. The most important additions in the second edition are included there. The section on anisotropic cosmological models is expanded and updated, presenting an anisotropic generalization of our present standard model of the universe—the ?CDM universe model. In addition an introduction to Noether’s theorem within classical mechanics is added in Chapter 1.

Zielgruppe

Academic/professional/technical: Research and professional

Autoren/Hrsg.

Grøn, Øyvind

Hervik, Sigbjørn

Fachgebiete

• Naturwissenschaften Physik Mechanik Gravitation
• Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Relativity Principles and Gravitation.- The Special 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.- The Linear Field Approximation.- The Schwarzschild Solution and Black Holes.- Homogeneous and Isotropic Universe Models.- Universe Models with Vacuum Energy.- Anisotropic and Inhomogeneous Universe Models.- 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)

is a professor emeritus at the University of Oslo and Oslo Metropolitan University. His work mainly focuses on general relativity, gravitation and cosmology. He received his Candidatus realium from the Institute of Geophysics, the University of Oslo in 1973 and his Ph.D. from the Institute of Physics, University of Oslo in 1990. He was honored with the research prize of and the King’s Gold Medal in 1988, the research prize of Oslo University College in 2004, the popularization prize of Oslo University College in 2009, and the outstanding reviewer award in 2025. He has been a member of the Royal Norwegian Society of Sciences and Letters since 2005, an honorary member of the Norwegian Astronomical Society and of the Norwegian Physical Society since 2010 and 2023, respectively. He has served as an editorial board member of scientific journals— —and contributed to as an editor.

is a professor at the Department of Applied Mathematics, the University of Stavanger. His work focuses on Riemannian geometry, Lorentzian geometry, Lie group and algebras, homogeneous spaces, relativity, cosmology from the mathematical aspects, alternative theory of gravity and classification issues for exact solutions in general relativity. He received his Ph.D. from Cambridge University in 2004. After his professional experience as a postdoc fellow at Dalhousie University in Canada, he was appointed to the current position in 2008. He has been teaching mathematics at all levels. He has received several research grants including a Toppforsk grant from the Research Council of Norway regarding interdisciplinary research between differential geometry and general relativity. He was honored with the Olav Thon prize for teaching excellence—a prestigious national teaching prize—in 2022.