General Relativity Notes
by Edmund Bertschinger
Publisher: MIT 1999
Number of pages: 156
Description:
Working with GR, particularly with the Einstein field equations, requires some understanding of differential geometry. In this text we will develop the essential mathematics needed to describe physics in curved spacetime. These notes assume familiarity with special relativity.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books

by Robert Geroch - arXiv
All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. We describe some broad features of systems of differential equations so formulated.
(15577 views)

by Matthias Blau - Universitaet Bern
The first half of the book is dedicated to developing the machinery of tensor calculus and Riemannian geometry required to describe physics in a curved space time. We will then turn to various applications of General Relativity.
(12413 views)

by Eric Poisson - University of Guelph
From the table of contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction.
(9451 views)

by Shlomo Sternberg
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
(17668 views)