Vacuum Solution of a Linear Red-Shift Based Correction in $f(R)$ Gravity

Abstract

In this paper we have considered a red-shift based linear correction in derivative of action in the context of vacuum $f(R)$ gravity. Here we have found out that the linear correction may describe the late time acceleration which is appeared by SNeIa with no need of dark energy. Also we have calculated the asymptotic action for the desired correction. The value of all solutions may reduce to de' Sitter universe in the absence of correction term.

Revised version, 18 pages, 7 figures

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• An Exponential F(R) Dark Energy Model
• Quasinormal modes and their anomalous behavior for black holes in $f(R)$ gravity
• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter
• Specific neutral and charged black holes in $f(R)$ gravitational theory
• A Note on Gravitational Memory in F(R)-theories and their Equivalent Scalar-Tensor Theories