Einstein's Theory A Rigorous Introduction for the Mathematically Untrained /

• Main Authors: Grøn, Øyvind (Author), Næss, Arne (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Edition: 1.
• Subjects: Physics.; Philosophy and science.; Gravitation.; Astronomy.; Astrophysics.; Cosmology.; Classical and Quantum Gravitation, Relativity Theory.; Philosophy of Science.; Astronomy, Astrophysics and Cosmology.; Theoretical, Mathematical and Computational Physics.

This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor c...

Table of Contents:

• Vectors
• Differential calculus
• Tangent vectors
• Curvilinear coordinate systems
• The metric tensor
• The Christoffel symbols
• Covariant differentiation
• Geodesics
• Curvature
• Conservation laws of classical mechanics
• Einstein’s field equations
• Einstein’s theory of spacetime and gravitation
• Some applications
• Relativistic universe models.