Horndeski theory meets the McVittie solution: A scalar field theory for accretion onto cosmological black holes

摘要: We show that the generalized McVittie spacetime, which represents a black hole with time-dependent mass in an expanding universe, is exact solution of subclass Horndeski family actions. The heat-flow term responsible for energy transfer between and cosmological background generated by higher-order kinetic gravity braiding term, generalizes cuscuton action yields constant as solution. Finally, we this generalization can be understood terms duality realized disformal transformation, connecting field theory to extension does not propagate any scalar degrees freedom. Our finding opens novel window into studies nontrivial interactions dark energy/modified theories astrophysical holes.