Inflation Alternative via the Gravitational Field of a Singularity

TL;DR

This paper proposes a novel cosmological model where the universe's emergence near a negative mass singularity and the resulting metric evolution mimic inflationary expansion, offering an alternative to traditional inflation theories.

Contribution

It introduces a new scenario where a negative mass ring singularity's gravitational field drives universe expansion, providing a different mechanism from standard inflation models.

Findings

The metric near the singularity exhibits a scale factor with contraction and expansion phases.

The model reproduces the growth of the scale factor as in a radiation-dominated universe.

The approach offers a potential alternative explanation for the horizon problem.

Abstract

We explore the scenario that the observable universe emerged from the vicinity of a negative mass ring singularity, and all content of the universe travels at the same group velocity close to the speed of light on a geodesic trajectory along the axis of rotation of the singularity. In appropriate coordinate parametrization and evaluated on the trajectory, we find that the metric tensor in the vicinity of the trajectory exhibits a conformal scale factor $a(\eta)$ with contraction and subsequent expansion properties that solve the horizon problem. We then introduce a static flow of gravitating radiation along the trajectory (perturbatively with respect to the mass scale of the singularity) to model a homogeneous radiation dominated universe. Solving the Einstein field equations with a physically motivated ansatz of metric perturbation then reveals that the effective conformal scale factor indeed grows asymptotically with the same power law as expected in a conventional radiation dominated universe.