Shift-symmetric Horndeski scalars with a spatial gradient realize moving dark energy, with a universal momentum density T^0i = -Q lambda^i / sqrt(-g) and observable imprints on the CMB dipole and quadrupole.
Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
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abstract
The recent three-year WMAP data have confirmed the anomaly concerning the low quadrupole amplitude compared to the best-fit \Lambda CDM prediction. We show that, allowing the large-scale spatial geometry of our universe to be plane-symmetric with eccentricity at decoupling or order 10^{-2}, the quadrupole amplitude can be drastically reduced without affecting higher multipoles of the angular power spectrum of the temperature anisotropy.
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Horndeski in motion
Shift-symmetric Horndeski scalars with a spatial gradient realize moving dark energy, with a universal momentum density T^0i = -Q lambda^i / sqrt(-g) and observable imprints on the CMB dipole and quadrupole.