Gravitational Field of a Global Monopole in a Modified Gravity

Details Gravitational Field of a Global Monopole in a Modified Gravity Gravitational Field of a Global Monopole in a Modified Gravity

2011-06-20

arxiv.org/abs/1106.4033v2

International Journal of Modern Physics: Conference Series, v. 03, p. 446-454, 2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, work presented in the 8th Alexander Friedmann International Seminar on Gravitation and Cosmology, in Rio de Janeiro,

Scientific paper

10.1142/S2010194511000961

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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