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Published online by Cambridge University Press: 24 April 2025
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.
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