Spacetime and Geometry: An Introduction to General Relativity
Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity. With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.
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While Wald's textbook has become the de facto standard for a reference on General Relativity, Carroll's text is much friendlier without sacrificing content. He provides clear explanations in an easy to read format.