A Cosmological Model with Dark Spinor Source

TL;DR

This paper proposes a cosmological model where nonlinear dark spinors influence universe dynamics, leading to oscillating, closed solutions that prevent singularities through negative pressure effects.

Contribution

It introduces a novel dark spinor-based cosmological model with nonlinear potentials that produce oscillating, non-singular universe solutions.

Findings

Dark spinors generate negative pressure resisting singularity.

The universe model is oscillating and closed in space.

Characteristic scale of the universe is about 10^12 light years.

Abstract

In this paper, we discuss the system of Friedman-Robertson-Walker metric coupling with massive nonlinear dark spinors in detail, where the thermodynamic movement of spinors is also taken into account. The results show that, the nonlinear potential of the spinor field can provide a tiny negative pressure, which resists the Universe to become singular. The solution is oscillating in time and closed in space, which approximately takes the following form $$ g_{\mu\nu}=\bar R^2(1-\delta\cos t)^2\diag(1,-1,-\sin^2r ,-\sin^2r \sin^2\theta), $$ with $\bar R= (1\sim 2)\times 10^{12}$ light year, and $\delta=0.96\sim 0.99$. The present time is about $t\sim 18^\circ$.