Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2015; 30(4): 481-491

Printed October 31, 2015

https://doi.org/10.4134/CKMS.2015.30.4.481

Copyright © The Korean Mathematical Society.

Volume ratios of a hypersurface relative to the FLRW space-time

Jong Ryul Kim

Kunsan National University

Abstract

We calculate volume ratio of a hypersurface orthogonal to a timelike geodesic relative to that of a hypersurface in the FLRW space-time.

Keywords: achronal spacelike hypersurface, Jacobi tensor, volume expansion, Raychaudhuri equation, mean curvature, FLRW space-time

MSC numbers: 53C50