https://doi.org/10.1140/epjc/s10052-009-1115-y
Regular Article - Theoretical Physics
Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions
Departamento de Física-CCEN, Universidade Federal da Paraíba, C. Postal 5.008, Joäo Pessoa, 58.059-970, PB, Brazil
* e-mail: carames@fisica.ufpb.br
Received:
28
April
2009
Revised:
16
July
2009
Published online:
25
August
2009
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
. 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.
PACS: 04.50.+h – / 04.20.-q –
© Springer-Verlag , 2009
