Reissner-Nordstr\"om Metric in the Friedman-Robertson-Walker Universe
Chang Jun Gao, Shuang Nan Zhang
TL;DR
This paper derives and verifies a metric for a charged black hole within an expanding universe, analyzing how cosmic evolution affects black hole size and planetary orbits.
Contribution
It introduces a Reissner-Nordström metric in a Friedman-Robertson-Walker universe and explores its implications for black hole size and planetary motion.
Findings
The metric for a Reissner-Nordström black hole in an expanding universe is obtained and verified.
The influence of cosmic evolution on black hole size is discussed.
Equations of planetary motion in an expanding universe are derived.
Abstract
The metric for a Reissner-Nordstrm 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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