CMC-Slicings of Kottler-Schwarzschild-de Sitter Cosmologies

Beig, Robert; Heinzle, J. Mark

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CMC-Slicings of Kottler-Schwarzschild-de Sitter Cosmologies

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Beig, Robert
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Heinzle, J. Mark
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beig, R., & Heinzle, J. M. (2005). CMC-Slicings of Kottler-Schwarzschild-de Sitter Cosmologies. Communications in Mathematical Physics, 260(3), 673-709.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4D9F-0

Abstract

There is constructed, for each member of a one-parameter family of cosmological models, which is obtained from the Kottler-Schwarzschild-de Sitter spacetime by identification under discrete isometries, a slicing by spherically symmetric Cauchy hypersurfaces of constant mean curvature. These slicings are unique up to the action of the static Killing vector. Analytical and numerical results are found as to when different leaves of these slicings do not intersect, i.e. when the slicings form foliations.