Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions

Details Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions

2009-01-07

arxiv.org/abs/0901.0814v2

Eur. Phys.J. C 64:113-121, (2009)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, no figure. New version accepted for publication in EPJC

Scientific paper

10.1140/epjc/s10052-009-1115-y

In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit form assumed for the function $F(R)=\frac{df(R)}{dR}$. We explicit show that for specific classes of this function exact solutions from the field equations are obtained; also we find approximated results for the metric tensor for more general cases admitting $F(R)$ close to the unity.

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