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arXiv · 1207.6350

The McVittie solution with a negative cosmological constant

Philippe Landry·Majd Abdelqader·Kayll Lake
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Abstract

Whereas current cosmological observations suggest that the universe is dominated by a positive cosmological constant ($Λ> 0$), the AdS/CFT correspondence tells us that the case $Λ<0$ is still worthy of consideration. In this paper we study the McVittie solution with $Λ<0$. Following a related study, the solution is understood here by way of a systematic construction of conformal diagrams based on detailed numerical integrations of the null geodesic equations. As in the pure Robertson - Walker case, we find that $Λ<0$ ensures collapse to a Big Crunch, a feature which completely dominates the global structure.

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Philippe Landry, Majd Abdelqader, Kayll Lake. 2012-09-04. The McVittie solution with a negative cosmological constant. https://doi.org/10.1103/physrevd.86.084002

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