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Elements of pseudoriemmanian geometry (Einstein metrics and Minkowski manifolds, causual structure, Levi-Civita connection, Ricci and curvature tensors). Einstein equations, stress-energy tensor, positivity conditions, Cauchy hypersurfaces. The principle of equivalence; experimental and observational evidence for general relativity Matter systems coupled to gravity (relativistic fluid, electromagnetic fields).Special solutions of Einstein’s equations (Schwarzchild, Kerr, Reisner-Nordstrom, Robertson-Walker).
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