Construction of models of universe on the Riemann hypothesis

Abstract

The aim of this note is to remove an implausible assumption in Moser's theorem \cite{JM} to establish our new theorem 1 which gives a lower estimate for the sum $p+c^2\rho$ on Riemann hypothesis. Corollary 1 gives a rather plausible construction of infinitely many models of universe with positive density($\rho$) and pressure($p$) since it makes use of the state equation in the form of an inequality.