Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity

Details Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity

2010-01-23

arxiv.org/abs/1001.4149v1

Gen. Relativ. Gravit. 42, (2010), 2421

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

The static spherically symmetric solution for (R +- {\mu}^4/R) model of f(R)gravity is investigated. We obtain the metric for space-time in the solar system that reduces to the Schwarzschild metric, when {\mu} tends to zero. For the obtained metric, the deviation from Einstein gravity is very small. This result is different from the other results have been obtained by equivalence between f(R) gravity and scalar tensor theory. Also it is shown that the vacuum solution in the solar system depends on the shape of matter distribution which differ from the Einstein's gravity.

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