A No-Nonsense Introduction to General Relativity
by Sean M. Carroll
Number of pages: 24
General relativity has a reputation of being extremely difficult. This introduction is a very pragmatic affair, intended to give you some immediate feel for the language of General Relativity. It does not substitute for a deep understanding -- that takes more work.
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by Jose Natario - Springer
This book was written as a guide for a one week course aimed at exceptional students in their final years of secondary education. The course was intended to provide a quick but nontrivial introduction to Einstein's general theory of relativity.
by Arthur Stanley Eddington - Cambridge University Press
The author gives an account of general relativity theory without introducing anything very technical in the way of mathematics, physics, or philosophy. It is hoped that the book may also appeal to those who have gone into the subject more deeply.
by Christian Heinicke, Friedrich W. Hehl - arXiv
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild solution, and into one specific stationary solution, the Kerr solution.
by Eric Poisson - University of Guelph
These lecture notes are suitable for a one-semester course at the graduate level. Table of contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes.