Implications of a frame dependent dark energy for the spacetime metric,
  cosmography, and effective Hubble constant
  In earlier papers we showed that a frame dependent effective action motivated
by the postulates of three-space general coordinate invariance and Weyl scaling
invariance exactly mimics a cosmological constant in Friedmann-Robertson-Walker
(FRW) spacetimes, but alters the linearized equations governing scalar
perturbations around a spatially flat FRW background metric. Here we analyze
the implications of a frame dependent dark energy for the spacetime
cosmological metric within both a perturbative and a non-perturbative
framework. Both methods of calculation give a one-parameter family of
cosmologies which are in close correspondence to one another, and which contain
the standard FRW cosmology as a special case. We discuss the application of
this family of cosmologies to the standard cosmological distance measures and
to the effective Hubble parameter, with special attention to the current
tension between determinations of the Hubble constant at late time, and the
Hubble value obtained through the cosmic microwave background (CMB) angular
fluctuation analysis.
