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1 results

  • 4 - Gravitational waves: perturbation, exact solutions, generation, and multipole expansion

  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book:
    General Relativity
    Published online:
    24 April 2025
    Print publication:
    08 May 2025, pp 42-53

  • Summary

    We describe gravitational waves. We start with radiation in the TT gauge, then the gravitational field of a mass distribution: after using the electromagnetic multipole expansion as an analogy, we describe the gravitational multipole expansion. We calculate gravitational radiation emitted from a source, then describe the pseudotensor of the gravitational field for the quadratic approximation, and use it to calculate the power radiated from through gravitational waves (the Einstein formula). Finally, we describe the exact, non-perturbative solution for gravitational waves with cylindrical symmetry found by Einstein and Rosen.