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Cotton Double Copy for Gravitational Waves

Published 21 Feb 2022 in hep-th and gr-qc | (2202.10476v1)

Abstract: We construct a double copy relation between the Cotton spinor and the dual field strength spinor of topologically massive theories, as the three-dimensional analogue of the Weyl double copy. The relationship holds in curved backgrounds for wave solutions. We give an explicit proof for Type N spacetimes and show examples satisfying the Cotton double copy.

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