A scan of f(R) models admitting Rindler type acceleration

Abstract

As a manifestation of large distance effect Grumiller modified Schwarzschild metric with an extraneous term reminiscent of Rindler acceleration. Such a term has the potential to explain the observed flat rotation curves in general relativity. The same idea has been extended herein to the larger arena of f(R) theory. With particular emphasis on weak energy conditions (WECs) for a fluid we present various classes of f(R) theories admitting a Rindler-type acceleration in the metric.