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.
General
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