Hartle J. Gravity. An Introduction to Einstein's General Relativity 2013

Textbook in PDF format

The aim of this groundbreaking new text is to bring general relativity into the undergraduate curriculum and make this fundamental theory accessible to all physics majors. Using a "physics first" approach to the subject, renowned relativist James B. Hartle provides a fluent and accessible introduction that uses a minimum of new mathematics and is illustrated with a wealth of exciting applications. The emphasis is on the exciting phenomena of gravitational physics and the growing connection between theory and observation. The Global Positioning System, black holes, X-ray sources, pulsars, quasars, gravitational waves, the Big Bang, and the large scale structure of the universe are used to illustrate the widespread role of how general relativity describes a wealth of everyday and exotic phenomena. For anyone interested in physics or general relativity.
Part I - Space and Time in Newtonian Physics and Special Relativity.
Part II - The Curved Spacetimes of General Relativity.
Part III - The Einstein Equation