Dust Static Spherically Symmetric Solution in $f(R)$ Gravity

Physics – General Physics

Scientific paper

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17 pages, No figure, accepted for publication in J. Japan Physical Society

Scientific paper

In this paper, we take dust matter and investigate static spherically symmetric solution of the field equations in metric f(R) gravity. The solution is found with constant Ricci scalar curvature and its energy distribution is evaluated by using Landau-Lifshitz energy-momentum complex. We also discuss the stability condition and constant scalar curvature condition for some specific popular choices of f(R) models in addition to their energy distribution.

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