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INTRODUCTION TO GENERAL RELATIVITY AND BLACK HOLES
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Geodesics in Spacetime
1.1 Non-Relativistic Particles 7 1.1.1 The Geodesic Equation 8 1.2 Relativistic Particles 11 1.2.1 A Particle in Minkowski Spacetime 12 1.2.2 Why You G... [Show More]
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Introducing Di↵erential Geometry
2.1 Manifolds 49 2.1.1 Topological Spaces 50 2.1.2 Di↵erentiable Manifolds 51 2.1.3 Maps Between Manifolds 55 2.2 Tangent Spaces 56 2.2.1 Tangent Ve... [Show More]
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Introducing Riemannian Geometry
3.1 The Metric 91 3.1.1 Riemannian Manifolds 92 3.1.2 Lorentzian Manifolds 93 3.1.3 The Joys of a Metric 94 3.1.4 A Sni↵ of Hodge Theory 99 3.2 Conn... [Show More]
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