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Static spherically symmetric solution of (R ± μ 4/R) gravity

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Abstract

The static spherically symmetric solution for R ± μ 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 μ 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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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Sanandaj, Iran

    K. Saaidi & A. Vajdi

  2. Islamic Azad University of Sanandaj, Sanandaj, Iran

    K. Saaidi & A. Aghamohammadi

  3. Science and Research Branch, Plasma Physics Research Center, Islamic Azad University of Tehran, Tehran, Iran

    A. Aghamohammadi

Authors
  1. K. Saaidi
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  2. A. Vajdi
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  3. A. Aghamohammadi
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Correspondence to K. Saaidi.

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Saaidi, K., Vajdi, A. & Aghamohammadi, A. Static spherically symmetric solution of (R ± μ 4/R) gravity. Gen Relativ Gravit 42, 2421–2429 (2010). https://doi.org/10.1007/s10714-010-0989-1

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  • DOI: https://doi.org/10.1007/s10714-010-0989-1

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