Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions

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 \(F(R)=\frac{df(R)}{dR}\). W...

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Bibliographic Details
Published in:arXiv.org 2009-08
Main Authors: Caramês, T R P, E R Bezerra de Mello
Format: Article
Language:English
Subjects:
Differential equations
Gravitation
Mathematical analysis
Nonlinear equations
Tensors
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0901.0814