Reissner-Nordstr\"om Metric in the Friedman-Robertson-Walker Universe

Chang Jun Gao; Shuang Nan Zhang

Reissner-Nordstr\"om Metric in the Friedman-Robertson-Walker Universe

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arxiv gr-qc/0407045 v2 pith:GH23567Z submitted 2004-07-13 gr-qc astro-ph

Chang Jun Gao , Shuang Nan Zhang This is my paper · ORCID

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keywords universemetricblackfriedman-robertson-walkerholeplanetreissner-nordstrbackground

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abstract

The metric for a Reissner-Nordstr$\ddot{o}$m black hole in the background of the Friedman-Robertson-Walker universe is obtained. Then we verified it and discussed the influence of the evolution of the universe on the size of the black hole. To study the problem of the orbits of a planet in the expanding universe, we rewrote the metric in the Schwarzschild coordinates system and deduced the equation of motion for a planet.

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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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