Representing the massive graviton in the metric tensor g u,v

Abstract

We quantify the ${\mathit{h}}_{1\mathrm{,}0}$ , ${\mathit{h}}_{2\mathrm{,}0}$ , and ${\mathit{h}}_{3\mathrm{,}0}$ contributions to massive gravitons in the ${\mathit{g}}_{\mathit{u}\mathrm{,}\mathit{v}}$ metric tensor, with ${\mathit{h}}_{1\mathrm{,}0}$ representing (1+1) geometry, and ∼ 1/50,000 in magnitude to ${\mathit{h}}_{3\mathrm{,}0}$ of (3+1) geometry. The non vanishing of the ${\mathit{h}}_{1\mathrm{,}0}$ term representing (1+1) geometry contravenes predictions of no relic gravitational waves and makes predictions if the prior universe was a single event a la Steinhardt or a multiverse in the form suggested by Tegmark. I.e. change in the application of $\ddot{\mathit{\varphi }}\cong 0$ of inflation. To perhaps $\ddot{\mathit{\varphi }}\ne 0$ .