A Weyl-geometry vector field yields a four-dimensional generalized-Proca Gauss-Bonnet theory whose black holes carry two independent primary-hair constants, one of which becomes an effective cosmological constant after a disformal transformation.
Fab 5: Noncanonical Kinetic Gravity, Self Tuning, and Cosmic Acceleration
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abstract
We investigate circumstances under which one can generalize Horndeski's most general scalar-tensor theory of gravity. Specifically we demonstrate that a nonlinear combination of purely kinetic gravity terms can give rise to an accelerating universe without the addition of extra propagating degrees of freedom on cosmological backgrounds, and exhibit self tuning to bring a large cosmological constant under control. This nonlinear approach leads to new properties that may be instructive for exploring the behaviors of gravity.
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Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
A Weyl-geometry vector field yields a four-dimensional generalized-Proca Gauss-Bonnet theory whose black holes carry two independent primary-hair constants, one of which becomes an effective cosmological constant after a disformal transformation.