A note on inverse curvature flows in asymptotically Robertson-Walker spacetimes

DOI10.2140/PJM.2012.256.309zbMATH Open1244.53075arXiv1106.4236OpenAlexW1632278359MaRDI QIDQ433550

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Publication date: 5 July 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Abstract: We prove that the leaves of the rescaled curvature flow considered in arXiv:math/0403485 [math.DG] converge to the graph of a constant function.

Full work available at URL: https://arxiv.org/abs/1106.4236

zbMATH Keywords

Lorentzian manifoldgeneral relativitymassinverse curvature flowARW space-timescosmological space-time

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

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