A reduction scheme transforms arbitrary N-term scalar and matrix recurrence relations from black hole perturbations in modified gravity into three-term relations solvable by continued fractions.
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Adding the electromagnetic polarization-angle prior to a PPE test of GW170817 tightens the scalar-breathing amplitude bound by ~60% and yields a non-significant ~2–3σ preference for a scalar mode.
Fuzzy dark matter induces frequency-dependent amplitude birefringence in gravitational waves with periodic time modulation set by the scalar mass, but no velocity birefringence.
citing papers explorer
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Beyond Three Terms: Continued Fractions for Rotating Black Holes in Modified Gravity
A reduction scheme transforms arbitrary N-term scalar and matrix recurrence relations from black hole perturbations in modified gravity into three-term relations solvable by continued fractions.
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Tests of scalar polarizations with multi-messenger events
Adding the electromagnetic polarization-angle prior to a PPE test of GW170817 tightens the scalar-breathing amplitude bound by ~60% and yields a non-significant ~2–3σ preference for a scalar mode.
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Gravitational Wave Birefringence from Fuzzy Dark Matter
Fuzzy dark matter induces frequency-dependent amplitude birefringence in gravitational waves with periodic time modulation set by the scalar mass, but no velocity birefringence.