Time-like Killing Fields and the Accumulation of Gravitational Redshift

The cosmological redshift can be accounted using only gravitational redshift. The distribution of mass is m(r)=2*pi*k*r^2 where k is a coupling constant equal to .833kg/m^2.

Physicists claim in static spacetimes there is a time-like killing field that preserves geometry and prevents accumulation along the geodesic. This is technically true but only "across time." The geometry isn't preserved until the moment of observation. The emitter's potential isn't known until the moment of observation. So, for differently situation observers at various intervals, it does indeed appear that there is an accumulation of gravitational redshift.

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