The notes as a whole are available as gr-qc/9712019

Abstract. These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology. Individual chapters, and potentially updated versions, can be found at http://pancake.uchicago.edu/~carroll/notes/

Table of Contents

TABLE OF CONTENTS

PREFACE

BIBLIOGRAPHY

SPECIAL RELATIVITY AND FLAT SPACETIME

MANIFOLDS

CURVATURE

GRAVITATION

MORE GEOMETRY

WEAK FIELDS AND GRAVITATIONAL RADIATION

THE SCHWARZSCHILD SOLUTION AND BLACK HOLES

COSMOLOGY

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