Point Particle Motion in DFT and a Singularity-Free Cosmological Solution

TL;DR

This paper extends point particle motion to double field theory, derives geodesic equations, and presents a singularity-free cosmological solution by redefining the physical clock in a specific background.

Contribution

It generalizes particle motion in DFT and constructs a cosmological model free of singularities using a novel clock definition.

Findings

Geodesics can be extended to infinity in both time directions.

A singularity-free cosmological solution is demonstrated.

The approach applies to backgrounds with vanishing antisymmetric tensor and constant dilaton.

Abstract

We generalize the action for point particle motion to a double field theory background. After deriving the general equations of motion for these particle geodesics, we specialize to the case of a cosmological background with vanishing antisymmetric tensor field and constant dilaton. We then show that the geodesics can be extended to infinity in both time directions once we define the appropriate physical clock. Following this prescription, we also show the existence of a singularity-free cosmological solution.