Spherical Symmetric Solution in f(R) Model Around Charged Black Hole

Abstract

A static, asymptotically flat, spherically symmetric solutions is investigated in f(R) theories of gravity for a charged black hole. We have studied the weak field limit of f(R) gravity for the some f(R) model such as f(R) = R + epsilon h(R). In particular, weconsider the case lim_{R =0} {h(R)/ dh(R)/dR}=0 and find the space time metric for f(R) = R + {mu}^{4} /R and f(R) = R^{1-epsilon} theories of gravity far away a charged mass point.

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• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
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• Holographic Dark Energy Like in $f(R)$ Gravity
• Looking for empty topological wormhole spacetimes in $F(R)$-modified gravity
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• On the holographic dark energy in chameleon scalar-tensor cosmology
• Modified gravity in a viscous and non-isotropic background
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• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity
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