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> Spacetime and Geometry

Spacetime and Geometry An Introduction to General Relativity

Authors

Sean M. Carroll, California Institute of Technology
Published 2019

Description

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).…

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Key features

  • Explains mathematical formalism clearly with examples, helpful for students trying to access the physical content of general relativity
  • Treats general relativity as a field theory, making it familiar to students of electromagnetism and connecting it directly to quantum field theory
  • Contains detailed appendices including technical information and advanced topics for the interested reader

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