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 Edmund Bertschinger - MIT
Working with GR 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.
by Neil Lambert - King's College London
This course is meant as introduction to what is widely considered to be the most beautiful and imaginative physical theory ever devised: General Relativity. It is assumed that you have a reasonable knowledge of Special Relativity as well as tensors.
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.
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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.