Analysis of trapping horizons shows McVittie and Glass-Mashhoon spacetimes lack suitable future outer trapping horizons for cosmological black holes, while Culetu and Sultana-Dyer can describe them in the matter-dominated era if energy conditions hold.
For large times (still with˜t <+∞), one finds that ˜¯rl −→(1/2a(˜t))+, while ˜¯ru −∼˜t1/3
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Cosmological Black hole Candidates: A Detailed Analysis of McVittie, Culetu, Sultana-Dyer, and Glass-Mashhoon Spacetimes
Analysis of trapping horizons shows McVittie and Glass-Mashhoon spacetimes lack suitable future outer trapping horizons for cosmological black holes, while Culetu and Sultana-Dyer can describe them in the matter-dominated era if energy conditions hold.