The Generalized Second Law and the Spatial Curvature Index

Abstract

By applying the generalized second law to the apparent horizon of a homogeneous and isotropic universe and imposing that the equation of state is no less than $-1$, it is seen that universes with either flat or closed spatial sections are consistent with the joint consideration of the aforesaid law and the dominant energy condition, but not so universes with hyperbolic spatial sections

7 pages, no figures. Typos removed. Key words: gravity; cosmological parameters. Published in the Journal of Cosmology and Astroparticle Physics