Abstract
We introduce a new approach for investigating the weak field limit of vacuum field equations in f(R) gravity and we find the weak field limit of f(R)=R+μ 4/R gravity. Furthermore, we study the strong gravity regime in R+μ 4/R model of f(R) gravity. We show the existence of strong gravitational field in vacuum for such model. We find out in the limit μ→0, the weak field limit and the strong gravitational field can be regarded as a perturbed Schwarzschild metric.
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Saaidi, K., Vajdi, A., Rabiei, S.W. et al. Strong and weak gravitational field in R+μ 4/R gravity. Astrophys Space Sci 337, 739–745 (2012). https://doi.org/10.1007/s10509-011-0871-y
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DOI: https://doi.org/10.1007/s10509-011-0871-y