Quadrupole formula, TT gauge, energy flux. Still a benchmark.
Classic material: photon sphere, event horizon, Eddington–Finkelstein coordinates. Their discussion of “river model” of black holes is unique. Quadrupole formula, TT gauge, energy flux
The core: Riemann tensor, Bianchi identities, Einstein equation. Pay special attention to Box 14.5 (derivation from action principle). Quadrupole formula, TT gauge, energy flux
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