The Merger of the Schwarzschild metric and the Robertson-Walker metric
Bethmini Senevirathne (Department of Physics, Astronomy, University, of Glasgow, UK), Nalin de Silva (Department of Mathematics, University of, Kelaniya, Sri Lanka)
TL;DR
This paper derives a combined metric merging Schwarzschild and Robertson-Walker metrics, revealing conditions where the object and universe are not spatially separated, impacting cosmological models involving black holes in expanding universes.
Contribution
It presents a novel derivation of a merged metric combining Schwarzschild and Robertson-Walker metrics, exploring their compatibility and implications.
Findings
The merged metric is valid under specific conditions.
The merger occurs at a distance less than the object’s radius.
Objects may not be spatially separated from the universe in this model.
Abstract
The Schwarzschild metric giving the space time due to a spherically symmetric object is derived in the background of the Robertson Walker metric. In other words the two metrics are merged. It is found that under certain conditions the merger is at a distance less than the radius of the spherically symmetric object, thus not separating the object from the rest of the universe.
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Taxonomy
TopicsRelativity and Gravitational Theory · Geophysics and Gravity Measurements · Planetary Science and Exploration