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Can a pure vector gravitational wave mimic a pure tensor one?

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Allen,  Bruce
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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1801.04800.pdf
(Preprint), 3MB

PRD97.124020.pdf
(Publisher version), 718KB

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Citation

Allen, B. (2018). Can a pure vector gravitational wave mimic a pure tensor one? Physical Review D, 97: 124020. doi:10.1103/PhysRevD.97.124020.

Cite as: http://hdl.handle.net/21.11116/0000-0000-BF5D-2
Abstract
In the general theory of relativity, gravitational waves have two possible polarizations, which are transverse and traceless with helicity $\pm 2$. Some alternatives theories contain additional helicity $0$ and helicity $\pm 1$ polarization modes. Here, we consider a hypothetical "pure vector" theory in which gravitational waves have only two possible polarizations, with helicity $\pm 1$. We show that if these polarizations are allowed to rotate as the wave propagates, then for certain source locations on the sky, the strain outputs of three ideal interferometric gravitational wave detectors can exactly reproduce the strain outputs predicted by general relativity.