Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-05-18
Phys. Rev. D 84, 064032 (2011)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 8 figures, revised version with major changes including expanded references. Dedicated to the memory of Yavuz Nutku
Scientific paper
10.1103/PhysRevD.84.064032
It is shown that in the static, spherically symmetric spacetime the problem of metric f(R) gravity coupled with non-linear Yang-Mills (YM) field constructed from the Wu-Yang ansatz as source, can be solved in all dimensions. By non-linearity it is meant that the YM Lagrangian depends arbitrarily on its invariant. A particular form is considered to be in the power-law form with limit of the standard YM theory. The formalism admits black hole solutions with single or double horizons in which f(R) can be obtained, in general numerically. In 6-dimensional case we obtain an exact solution given by f(R)=\surdR gravity that couples with the YM field in a consistent manner.
Halilsoy Mustafa
Mazharimousavi Habib S.
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