An Introduction to General Relativity and Cosmology (Hardcover) (ISBN-13: 9781009415620)

Experts Plebański and Krasiński provide a thorough introduction to the tools of general relativity and relativistic cosmology. Assuming familiarity with advanced calculus, classical mechanics, electrodynamics and special relativity, the text begins with a short course on differential geometry, taking a unique top-down approach. Starting with general manifolds on which only tensors are defined, the covariant derivative and affine connection are introduced before moving on to geodesics and curvature. Only then is the metric tensor and the (pseudo)-Riemannian geometry introduced, specialising the general results to this case. The main text describes relativity as a physical theory, with applications to astrophysics and cosmology. It takes the reader beyond traditional courses on relativity through in-depth descriptions of inhomogeneous cosmological models and the Kerr metric. Emphasis is given to complete and clear derivations of the results, enabling readers to access research articles published in relativity journals.

Author: Jerzy Plebanski, Andrzej Krasinski
ISBN-10: 100941562X
ISBN-13: 9781009415620
Publisher: Cambridge University Press
Language: English
Published: 05/31/2024
Pages: 580
Format: Hardcover