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2011

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

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

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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\geq4.

Even in this restricted class the spacetime has unlimited scopes determined by an equation of state of the form P_{eff}={\omega}{\rho}.
Depending on the distance from the origin (or horizon of a black hole) the state function {\omega}(r) takes different values.
It is observed that {\omega}\rightarrow(1/3) (the ultra relativistic case in 4 - dimensions) and {\omega}\rightarrow-1 (the cosmological constant) are the limiting values of our state function {\omega}(r) in a spacetime centered by a black hole.

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