Introduction to General Relativity

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  • Prerelativity physics and notion of space and time.
  • Spacetime Metric and geometry.
  • Manifolds, vectors, tensors.
  • Derivative operators.
  • Curvature.
  • Geodesics.
  • Einstein's equation.
  • Schwarzschild solution (at least in two different coordinates).
  • Linearized gravity.
  • Gravitational radiation.
  • Stress-energy-momentum tensor.
    • scalar field.
    • electromagnetic field.
    • perfect fluid.
    • GRMHD.
  • etc...
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