Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at the students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology.[…] A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.
The present book has a single purpose: to provide a clear introduction to general relativity, suitable for graduate students or advanced undergraduates. (Spacetime and Geometry: An Introduction to General Relativity; Sean M. Carroll; Cambridge University Press ; Introduction: Page iii; Preface: Page vii)