Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions

Abstract

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.

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

References in corpus (8)

• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Cylindrical solutions in metric f(R) gravity

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