Spacetime and Geometry is an introductory textbook on general relativity specifically aimed at
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. Students will learn the
origin of how spacetime curves (the Einstein equation) and how matter moves through it (the
geodesic equation). They will learn what black holes really are how gravitational waves are
generated and detected and the modern view of the expansion of the universe. 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.
