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

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arxiv 1001.4148 v1 pith:DW77UWLZ submitted 2010-01-23 gr-qc

classification gr-qc
keywords chargedgravityblackepsilonholemodelsymmetrictheories
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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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  1. Nonstatic Reissner-Nordstr\"om metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation

    gr-qc 2025-02 reject novelty 4.0 of 10

    The paper claims that charged spherically symmetric sources in perturbative f(R) gravity can radiate gravitational waves through a time-dependent exterior metric.

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