Gravitational Field of a Global Monopole in a Modified Gravity

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.

9 pages, work presented in the 8th Alexander Friedmann International Seminar on Gravitation and Cosmology, in Rio de Janeiro, 30/05 to 03/06/2011

References in corpus (4)

• Avoiding Dark Energy with 1/R Modifications of Gravity
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Matter instability in modified gravity
• Viable Singularity-Free f(R) Gravity Without a Cosmological Constant

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• Nonlinear $\sigma$-models in the Eddington-inspired Born-Infeld Gravity
• On the motion of a test particle around a global monopole in a modified gravity
• Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity
• Quantum probes of timelike naked singularities in the weak field regime of $f(R)$ global monopole spacetime
• Cloud of strings in f(R) gravity
• Scalar and spinor quasinormal modes of an $f(R)$ global monopole
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• The fragmentation instability of a black hole with $f(R)$ global monopole under GUP
• The tunneling radiation of a black hole with a $f(R)$ global monopole under generalized uncertainty principle
• The neutrino pair annihilation ($\nu \bar{\nu }⟶e^{-}{e}^{+}$)around a massive source with an $f(R)$ global monopole
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole
• Shadow analysis of an approximate rotating black hole solution with weakly coupled global monopole charge
• On the Thermodynamical Black Hole Stability in the Space-time of a Global Monopole in $f(R)$-Gravity
• Null geodesics around a black hole with weakly coupled global monopole charge
• The instability of a black hole with $f(R)$ global monopole under extended uncertainty principle