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arXiv · 1106.4033

Gravitational Field of a Global Monopole in a Modified Gravity

T. R. P. Caramês·E. R. Bezerra de Mello·M. E. X. Guimarães
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Abstract

In this paper we analyze the gravitational field of a global monopole in the context of $f(R)$ gravity. More precisely, we show that the field equations obtained are expressed in terms of $F(R)=\frac{df(R)}{dR}$. Since we are dealing with a spherically symmetric system, we assume that $F(R)$ is a function of the radial coordinate only. Moreover, adopting the weak field approximation, we can provide all components of the metric tensor. A comparison with the corresponding results obtained in General Relativity and in the Brans-Dicke theory is also made.

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T. R. P. Caramês, E. R. Bezerra de Mello, M. E. X. Guimarães. 2011-08-04. Gravitational Field of a Global Monopole in a Modified Gravity. https://doi.org/10.1142/s2010194511000961

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