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Constant curvature f(R) gravity minimally coupled with Yang–Mills field

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Abstract

We consider the particular class of f(R) gravities minimally coupled with Yang–Mills (YM) field in which the Ricci scalar =R 0=constant in all dimensions d≥4. Even in this restricted class the spacetime has unlimited scopes determined by an equation of state of the form P eff=ωρ. Depending on the distance from the origin (or horizon of a black hole) the state function ω(r) takes different values. It is observed that \(\omega\rightarrow\frac{1}{3}\) (the ultra relativistic case in 4 dimensions) and ω→−1 (the cosmological constant) are the limiting values of our state function ω(r) in a spacetime centered by a black hole. This suggests that having a constant ω throughout spacetime around a charged black hole in f(R) gravity with constant scalar curvature is a myth.

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Authors and Affiliations

  1. Department of Physics, Eastern Mediterranean University, G. Magusa, North Cyprus, Mersin 10, Turkey

    S. Habib Mazharimousavi, M. Halilsoy & T. Tahamtan

Authors
  1. S. Habib Mazharimousavi
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  2. M. Halilsoy
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  3. T. Tahamtan
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Correspondence to S. Habib Mazharimousavi.

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Habib Mazharimousavi, S., Halilsoy, M. & Tahamtan, T. Constant curvature f(R) gravity minimally coupled with Yang–Mills field. Eur. Phys. J. C 72, 1958 (2012). https://doi.org/10.1140/epjc/s10052-012-1958-5

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-1958-5

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