1303.2336 (Hoavo Hova)

$Λ$CDM and Power-Law Expansion in Lyra's Geometry    [PDF]

Hoavo Hova

We establish in the framework of Lyra's geometry a relationship between a displacement vector field $ \phi_{\mu} $, the Hubble parameter and the matter energy density $ \rho_{m} $ (with a constant equation of state $0 \le \omega_{m} < 1$) via an arbitrary function $\alpha(t)$. For a pressureless matter ($ \omega_{m}=0 $) the effective equation of state $ \omega_{eff} $ is completely determined by $ \alpha(t) $. We subsequently investigate and find exact solutions in models yielding the $ \Lambda $CDM and a power-law expansion.

View original: http://arxiv.org/abs/1303.2336