Polarization modes of gravitational waves in Quadratic Gravity. (arXiv:1910.04800v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Wagle_P/0/1/0/all/0/1">Pratik Wagle</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Saffer_A/0/1/0/all/0/1">Alexander Saffer</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Yunes_N/0/1/0/all/0/1">Nicolas Yunes</a>

The observation of the inspiral and merger of compact binaries by the
LIGO-Virgo collaboration has allowed for new tests of Einstein’s theory in the
extreme gravity regime, where gravitational interactions are simultaneously
strong, non-linear, and dynamical. Theories beyond Einstein’s can also be
constrained by detecting the polarization modes of gravitational waves. In this
paper, we show that dynamical Chern-Simons and Einstein-dilaton-Gauss-Bonnet
gravity cannot be differentiated from general relativity based on the detection
of polarization modes alone. To prove this result, we use the Newman-Penrose
method and an irreducible decomposition method to find that only the tensorial
modes can be detected in both these theories.

The observation of the inspiral and merger of compact binaries by the
LIGO-Virgo collaboration has allowed for new tests of Einstein’s theory in the
extreme gravity regime, where gravitational interactions are simultaneously
strong, non-linear, and dynamical. Theories beyond Einstein’s can also be
constrained by detecting the polarization modes of gravitational waves. In this
paper, we show that dynamical Chern-Simons and Einstein-dilaton-Gauss-Bonnet
gravity cannot be differentiated from general relativity based on the detection
of polarization modes alone. To prove this result, we use the Newman-Penrose
method and an irreducible decomposition method to find that only the tensorial
modes can be detected in both these theories.

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