Model for Gravity at Large Distances

We construct an effective model for gravity of a central object at large scales. To leading order in the large radius expansion we find a cosmological constant, a Rindler acceleration, a term that sets the physical scales, and subleading terms. All these terms are expected from general relativity, except for the Rindler term. The latter leads to an anomalous acceleration in geodesics of test particles.

Figure 1

Toy model rotation curve for a dwarf galaxy.

Figure 2

Toy model rotation curve for a large spiral galaxy.