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General Relativity - PDF Study Guides

29 LaTeX-compiled PDFs available

Explore Einstein's theory of gravity as curved spacetime. Covers differential geometry, curvature tensors, Einstein field equations, classic solutions including Schwarzschild and Kerr black holes, gravitational waves, and an introduction to quantum gravity.

Part 1

Connection

107 KB10 sections

Geodesics

138 KB10 sections

Manifolds

187 KB10 sections

Metric

109 KB10 sections

Parallel Transport

134 KB8 sections

Tensors

140 KB10 sections

Part 2

Bianchi Identities

116 KB10 sections

Ricci Tensor

182 KB10 sections4 key equations

Riemann Tensor

179 KB10 sections4 key equations

Symmetries

119 KB10 sections

Weyl Tensor

109 KB10 sections

Part 3

Einstein Equations

176 KB10 sections4 key equations

Einstein Hilbert Action

135 KB9 sections

Equivalence Principle

140 KB10 sections

Newtonian Limit

144 KB10 sections

Stress Energy Tensor

142 KB10 sections

Weak Field Limit

121 KB8 sections

Part 4

Flrw

215 KB10 sections4 key equations

Gravitational Waves

224 KB7 sections4 key equations

Kerr

184 KB10 sections4 key equations

Pp Waves

224 KB5 sections4 key equations

Reissner Nordstrom

223 KB8 sections4 key equations

Schwarzschild

221 KB10 sections4 key equations

Part 5

Adm Formalism

127 KB5 sections

Black Hole Thermodynamics

139 KB10 sections

Gravitational Lensing

110 KB7 sections

Numerical Relativity

139 KB7 sections

Quantum Gravity Intro

130 KB10 sections

Singularities

119 KB6 sections
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